Aptitude

Quantitative Aptitude

SPEED MATHS

1

L.C.M. & H.C.F (THEORY) 1.

2.

Find the L.C.M. of the following : (a) 6, 9 & 10 (b) 6, 9, 12 (d) 0.25, 0.5 & 1 (e) 0.2, 0.5 & 0.75

(c) 4, 8, 12 & 15 (f) 1.25, 2.75 & 3.00

Find H.C.F. of the following: (a) 1,2 & 3 (e) 0.5, 1.25 & 2.00

(c) 64,96,160 (g) ½, 2/3 & 3/4

(b) 165, 220 & 385 (f) 7.2, 1.44 & 0.84

(d) 6,12,15 (h) 8/12 6/15 & 4/5

3.

(a) (b) (c) (d) (e) (f)

The least number which exactly divisible by 3,4,5,6,8 is The least number which exactly divisible by 5,8,10,12 & 15 is The least number which exactly divisible by 15,20,24,30 & 36 is The greatest number which divides 129, 215 & 473 is The greatest number which divides 153, 306, 357 is The greatest number which divides 168, 273, 441 is

4.

(a) The L.C.M. & H.C.F. of two numbers are 840 & 30 respectively and one of these numbers is 120. Find the second number (b) The L.C.M. & H.C.F. of two numbers are 1056 & 16 respectively and one of these numbers is 176. Find the second number (c) The L.C.M. & H.C.F. of two numbers are 2970 & 18 respectively and one of these numbers is 198. Find the second number (d) The L.C.M. & H.C.F. of two numbers are 144 & 24 respectively and one of these numbers is 198. Find the second number (e) The L.C.M. & H.C.F. of two numbers are 168 & 12 respectively and one of these numbers is 198. Find the second number

5.

(a) Four bells ring at 10, 12, 15 and 20 min. respectively beginning together. After what interval of time they ring again together. (b) Four bells ring at 15, 18, 20, 24 & 30 min. respectively beginning together. After whtat interval of time they ring again together. (c) Four traffic lights ligh at 54 Sec, 72 Sec, 90 Sec and 84 Sec. respectively. If all the them light together at 10.30 A.M. one day. The immediate next time when they light together is (d) Three wheels moving 20, 24 & 30 revolutions in a minute, starting withe a certain point on the circumference downwards. After what interval of time will they come together again in the same position? (d) Four wheels moving 24, 30 , 40 & 48 revolutions in a minute, starting withe a certain point on the circumference downwards. After what interval of time will they come together again in the same position?

6.

(a) (b) (c) (d) (e)

The least square number which is exactly divisible by 3, 4, 5 and 6. The least square number which is exactly divisible by 5, 6, 8, 9 & 10 The least square number which is exactly divisible by 10, 15, 20, 25 & 30 The least square number which is exactly divisible by 30, 36, 45, 54 & 30 The least square number which is exactly divisible by 8, 12, 20,48 & 75

2 7.

(a) (b (c) (d) (e)

Find the smallest number which when divided by 6,9,12 & 15 leaves 5 as reminder in each case Find the smallest number which when divided by 8,12,15 & 20 leaves 3 as reminder in each case Find the smallest number which when divided by 1,10,15 & 20 leaves 2 as reminder in each case Find the smallest number which when divided by 14, 28, 35 & 42 leaves 13 as reminder in each case. Find the smallest number which when divided by 12,15, 18 & 21 leaves 1 as reminder in each case.

8.

(a) (b) (c) (d) (e)

Find the smallest number which when increased by 7, divisible by 8, 15, 16 & 25 Find the smallest number which when increased by 5, divisible by 6, 9, 15, 20 & 24 Find the smallest number which when increased by 2, divisible by 21, 35 & 49 Find the smallest number which when increased by 3, divisible by 15, 25, 30 & 45 Find the smallest number which when increased by 11, divisible by 30, 45, 75 & 90

9.

(a) (b) (c) (d) (e)

Find the least number of 5 digits which is exactly divisible by 6, 9, 12 & 15. Find the least number of 6 digits which is exactly divisible by 4, 6, 8, 10, 12 & 15 Find the least number of 5 digits which is exactly divisible by 9, 27, 36 & 45 Find the least number of 4 digits which is exactly divisible by 5, 10,15 & 25 Find the least number of 6 digits which is exactly divisible by 30, 36, 48 & 72

10.

(a) (b) (c) (d) (e)

Find the greatest number of 4 digits which is exactly divisible by 7, 14 & 21 Find the greatest number of 5 digits which is exactly divisible by 8, 9, 15 & 21 Find the greatest number of 6 digits which is exactly divisible by 10,20, 25 & 30 Find the greatest number of 5 digits which is exactly divisible by 20, 24, 32 & 40 Find the greatest number of 4 digits which is exactly divisible by 9, 18, 36 & 45

11.

(a) Find the least number which when divided by 32 leaves 12 as remainder, when divided by 40 leaves 20 as remainder and when divided by 56 leaves 36 as remainder. (b) Find the least number which when divided by 40 leaves 25 as remainder, when divided by 60 leaves 45 as remainder and when divided by 80 leaves 65 as remainder. (c) Find the smallest number which when divided by 24 36 60 leaves 20 32 56 as remainder respectively. (d) Find the smallest number which when divided by 45 60 75 leaves 40 55 & 70 as remainder respectively. (e) Find the smallest number which when divided by 60 84 96 leaves 48 72 & 84 as remainder respectively.

12.

(a) Find the least number which when divided by 8 12 16 20 leaves 1 as remainder, but when divided by 11 leaves no remainder. (b) Find the least number which when divided by 4 6 8 and 12 leaves 1 as remainder, but when divided by 11 leaves no remainder. (c) Find the least number which when divided by 15 20 24 and 30 leaves 1 as remainder, but when divided by 19 leaves no remainder. (d) Find the least number which when divided by 345 & 6 leaves 1 as remainder, but when divided by 19 leaves no remainder. (e) Find the least number which when divided by 12 15 and 18 leaves 9 as remainder, but when divided by 81 leaves no remainder. (a) Find the greatest number which divides 792, 1080 and 1224. (b) Find the greatest number which divides 549, 793 and 1037. (c) Find the greatest number which divides 259, 407 and 518. (d) There are 65 pens and 104 pencils. Find the highest number of pens or pencils possible to pack in the minimum number of equal size packets without mixing pens with pencils or vice versa. (e) There are 114 pens and 264 pencils. Find the highest number of pens or pencils possible to pack in the minimum number of equal size packets without mixing pens with pencils or vice versa.

13

3 14.

(a) A trader has three kinds of oil;the first kind 102 kgs. The second kind 136 kgs. And the third kind 187kgs. Find the least number of TINS required to store this oil without mixing. (b) A trader has three kinds of oil; the first kind 143kgs. The second kind 182 Kgs and the third kind 208kgs. Find the least number of TINS required to stores this oil without mixing. (c) A trader has three kinds of oil; the first kind 132 kgs. The second kind 165 kgs. And the third kind 209kgs. Find the least number of TINS required to store this oil without mixing. (d) A trader has three kinds of oil;the first kind 345 kgs . The second kind 450 kgs and the third kind 450kgs. Find the least number of TINS required to store this oil without mixing. (e) There are 42 girls and 70 boys in a school picnic. In how many batches of equal capacity of maximum possible strength can the students be divided by keeping the boys and girls separate.

15.

(a) Find the length of largest possible square possible square brick which can be used for paving the floor of 4.37*1.71m (b) Find the length of largest possible square hand kerchief which can be manufactured from a cloth of 7.25m * 3.72m (c) Find the number of square bricks of largest possible side to pave a floor of 2.72m * 2.08m (d) Find the number of square hand kerchiefs of largest possible side which can be made from a cloth of 4.65* 3.72m (e) Find the number of square hand kerchiefs of largest possible side which can be made from a cloth of 5.67*4.59m

16

(a) Find the greatest number that will divided 129,216,and 312 leaving 5,9 & 13 as remainder respectively (b) Find the greatest number that will divided 130,182 and 214 leaving 9,6 & 5 as remainder respectively (c) Find the greatest number that will divided 273,525 and 377 leaving 1,2 & 3 as remainder respectively (d) Find the greatest number that will divided 260,325 and 342 leaving 4,5 & 6 as remainder respectively (e) Find the greatest number that will divided 89,79 and 51 leaving 8,7 & 6 as remainder respectively (a) Find the greatest number that will divided 1259,1558,1935 leaving same remainder in each case (b) Find the greatest number that will divided 1338,1545,1844 leaving same remainder in each case (c) Find the greatest number that will divided 1625,1746,1878 leaving same remainder in each case (d) Find the greatest number that will divided 2029,2200,2409 leaving same remainder in each case (e) Find the greatest number that will divided 2125,2240,2424 leaving same remainder in each case

17

18

(a) The L.C.M of two numbers is 15 times of the H.C.F. if the product of those numbers is 14415. Find H.C.F (b) The L.C.M of two numbers is 21 times of the H.C.F. if the product of those numbers is 4725.Find

H.C.F (c) The L.C.M of two numbers is 12 times of the H.C.F. if the product of those numbers is 1452.Find H.C.F (d) The L.C.M of two numbers is 23 times of the H.C.F. if the product of those numbers is 7168.Find H.C.F 19

(a) The H.C.F of two numbers is 21 and their product is 5292. How many pairs of such numbers are possible ? (b) The H.C.F of two numbers is 11 and their product is 5082 . How many pairs of such numbers are possible ? (c) The H.C.F of two numbers is 23 and their product is 9522. How many pairs of such numbers are possible ?

4 (d) The H.C.F of two numbers is 37 and their product is 592. How many pairs of such numbers are possible ? (e) The H.C.F of two numbers is 35 and their product is 735. How many pairs of such numbers are possible ? 20

(a) In finding H.C.F of two numbers by division method, the quotients are 1, 2 & 3 respectively and the last divisor is 17. Find those numbers (b) In finding H.C.F of two numbers by division method, the quotients are 1, 2 & 2 respectively and the last divisor is 19. Find those numbers (c) In finding H.C.F of two numbers by division method, the quotients are 2, 3 & 4 respectively and the last divisor is 21. Find those numbers (d) In finding H.C.F of two numbers by division method, the quotients are 1, 2,3 & 4 respectively and the last divisor is 21. Find those numbers (e) In finding H.C.F of two numbers by division method, the quotients are 1, 2,3 & 4 respectively and the last divisor is 22. Find those numbers

5

Level I - PERCENTAGES 1.

When the number is increased by 20% of itself, the result is 480. Find the number. (1) 300 (2) 400 (3) 480 (4) 360 (5) 500

2.

If 40% of a number is 20 more than 30% of a number, find the number. (1) 300 (2) 400 (3) 800 (4) 600 (5) 200

3.

A won the election by a majority of 150 votes. If only two candidates contested and A secured 60% of total votes, find the total number of votes. (1) 800 (2) 700 (3) 750 (4) 650 (5) 500

4.

Price of sugar first increased by 30% and then decreased by 30%. Find the original price if the present price is Rs 273/-? (1) Rs 300/(2) Rs 273/- (3) Rs 400/- (4) Rs 282/- (5) Rs 360/-

5.

Surya spends 60% of his salary on food, 20% of the remaining on petrol, 10% of the remaining on entertainment and saves the remaining amount. If he saves Rs 288/-, find his salary? (1) Rs 2880/(2) Rs 1000/- (3) Rs 1200/- (4) Rs 2820/- (5) Rs 500/-

6.

If A's income is 25% more than B, then B's salary is how much % less than A? (1) 25% (2) 15% (3) 20% (4)30% (5) None of these

7.

If Pradeep's weight is 30% less than Rohit, then Rohit's weight is how much % more than Pradeep? (1) 25% (2) 14.28% (3) 20% (4)30% (5) 42.85%

8.

The present population of a town is 62500. Due to migration to big cities, if it decreases every year by 4%, find the population of the town after 2 years. (1) 57500 (2) 58000 (3) 56600 (4) 57600 (5) 57000

9.

A student has to score 33% marks to pass. He got 90 but failed by 9 marks. Find the maximum marks? (1) 300 (2) 333 (3) 900 (4) 999 (5) ) None of these

10.

Yusuf Pathan scored 120 runs which included 3 fours and 8 sixes. Find the percentage of runs he scored by running between the wickets. (1) 60% (2) 50% (3) 40% (4) 30% (5) 20%

6

Level II - PERCENTAGES 1.

Find the value that comes in place of the question mark. a. 19.5% of 524 = ? b. 17.7% of 286 = ? c. 16.8% of 705 = ? d. 58% of 450 -?% of 250 = 181 e. 13% of 190 + ? = 111 f. 5% of 420 X ?% 150 = 252 g. 22% of 364 - ? = 23 h. 40% of 40 % of ? = 30% of 80

2.

The difference between 55% of a number and 14% of the same number is 8610. What is 85% of that number?

3.

The sum of 15% of a positive number and 20% of the same number is 126. What is one-third of that number?

4.

In an election there were two candidates. A candidate who secured 57% of the total votes polled was elected by a margin of 2100 votes. Find the total number of votes polled?

5.

A man spends 10% of this monthly salary on house rent, 12% on food and 15% on all other expenses and saves Rs. 1260 per month. Find his monthly salary?

6.

A student has to get 35% of the maximum marks to pass an examination. Abhi got 172 marks and failed by 3 marks. Find the maximum marks?

7.

In an examination it is required to get 55% of the aggregate marks to pass. A student gets 520 marks and is declared failed by 5% marks. What are the maximum aggregate marks a student can get?

8.

Abhinav got 38% of the maximum marks and failed by 14 marks. Ravi, who secured 43% of the maximum marks, got 21 marks above the pass mark. Find the pass percentage and maximum marks?

9.

Vikram scored 72 percent marks in five subjects together viz; Hindi, Science, Maths, English and Sanskrit together, where in the maximum marks of each subject were 100. How many marks did Vikram score in Science if he scored 80 marks in Hindi, 70 marks in Sanskrit, 76 marks in maths and 66 marks in English?

10.

If the numerator of a fraction be increased by 20% and its denominator be diminished by 10% the value of the resultant fraction is 16/21 . Find the original fraction?

11.

A man spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. Then find the percentage change in his savings?

12.

In an election between two candidates 95% of the votes polled were declared valid. If a person who secured 60% of the valid votes won the election by a margin of 760 votes, then find the total number of votes polled in the election?

7 13.

In an examination, there were 2000 candidates out of which 900 were boys. If 32% of the boys and 38% of the girls passed, find the percentage of failed candidates?

14.

The boys and girls of a college are in the ratio of 3 : 2. If 20% of the boys and 25% of the girls are adults, then find the percentage of students who are not adults?

15.

A's salary is 20% more than B's salary. By how much percent is the salary of B is less than that of A?

16.

Two numbers are 20% and 30% of the third number. How much percent of the first number is the second number?

17.

There are three numbers of which the first number is 40% more than the second number and thesecond number is 20% more than the third. How much percent of the third number is the first?

18.

Of the three numbers, the first number is 25% less than the second number and the second number is 60% more than the third. By how much percent is the first number more or less than the third number?

19.

The price of oil is increased by 10%, By what percent a family should reduce its consumption of oil so as to maintain the same expenditure on oil?

20.

The production of a company is decreased by 10% and then increased by 30%. Find the overall percentage of change?

21.

The production of a company is reduced by 20%. By what percent should be the production be increased to get the original production?

22.

The length of a rectangle is increased by 60% and its breadth is decreased by 20% find the p e r c e n t a g e change in its area?

23.

The side of a square is increased by 20% by what percent will its area be increased?

24.

In a library 40% of the books are in English, 20% of the remaining are in Hindi, 60% of the remaining are in Telugu, and the remaining 7,200 books are in all other languages. Find the total number of books in that library?

25.

In a town 12(½)% are Christians, 60% of the rest are Hindus, 16(2/3)% of the rest are Muslims and the rest 9800 belong to all other religions. Find the population of that town?

26.

The price of the cycle is increased by 20% and the sales are decreased by 30%. Find the percentage change in the revenue?

27.

The product of 5% of a positive number and 2% of the same number is 211.6 What is half of that number?

28.

In a village, all people either take coffee or tea. 70% of the people take coffee and 60% prefer tea. Find % of people who take both?

29.

In a college, 40% of students pass in Mathematic and 50% of students pass in Sanskrit. But 20% of students failed in both. Find % students passed in both?

30.

In a town 70% of citizens read the Hindu, 40% of the citizens read Times of India and 30% of citizens read both. Find the percentage of students who read neither?

8

Level I - PROFIT AND LOSS 1.

If Rahul purchased an article for Rs 1500/- and sold it for Rs 1950/-, find profit %? (1) 10% (2) 20% (3) 30% (4) 40% (5) 50%

2.

A mobile phone is purchased for Rs 5400/- and sold for Rs 4320/-. Find loss %? (1) 10% (2) 20% (3) 30% (4) 40% (5) 50%

3.

Find the cost price of a dining table if selling price is Rs 3600/- and loss is 10%. (1) Rs 3600/(2) Rs 3700/- (3) Rs 3800/- (4) Rs 3900/- (5) Rs 4000/-

4.

Three successive discounts of 10%, 20% and 30% are equal to single discount of (1) 51.6% (2) 60% (3) 49.6% (4) 40% (5) 50.4%

5.

Amrutesh marked an article as Rs 400/-. He sold it after giving a discount of 10%. If cost price is Rs 300/-, find his profit %? (1) 50% (2) 20% (3) 25% (4) 40% (5) 30%

6.

Dravid purchased two cars, each at Rs 4,50,000/-. Then he sold one at 20% profit and another at 20% loss. Find his overall profit or loss %? (1) 20% profit (2) 20% loss (3) 4% profit (4) 4% loss (5) no profit no loss

7.

Yuvraj sold two cars, each at Rs 5,43,400/-. He gains 30% on the first and loses 30% on the second. Find his overall profit or loss %? (1) 20% profit (2) 20% loss (3) 9% profit (4) 9% loss (5) no profit no loss

8.

If the cost price of 100 books is equal to the selling price of 80 books, find profit or loss %? (1)20% profit (2) 20% loss (3) 25% profit (4) 25% loss (5) no profit no loss

9.

If an article is sold for Rs 306/-, a trader loses 30%. What should be the selling price of the article to gain 40%? (1) Rs 600/(2) Rs 372/- (3) Rs 459/- (4) Rs 612/- (5) Rs 498/-

10.

The price of a television set was decreased by 20%. As a result of which, the sale increased by 30%. Find the overall effect on the total revenue of the shop? (1) No effect (2) 10% increase (3) 10% decrease (4) 4% increase (5) 4% decrease A man bought some fruits at the rate of 16 for 24 and sold them at the rate of 8 for 18. What is the profit %? (1) 10% (2) 20% (3) 30% (4) 40% (5) 50%

11.

12.

The profit earned by selling an article for Rs 360/- is equal to loss incurred when the same article is sold for Rs 270/-. Find the cost price of the article. (1) Rs 330/- (2) Rs 305/(3) Rs 315 (4) Rs 320 (5) None of these

9

13. A shopkeeper sells an article for Rs 45/- after giving 10% discount and earns 50% profit. If the discount is not given, the profit % is (1) 50%(2) 33.33% (3) 66.66% (4) 40% (5) 16.66% 14. A dishonest dealer professes to sell his goods at cost price. But while weighing, he uses 800gms instead of 1kg. what is his profit %? (1) 10%(2) 20% (3) 30% (4) 25% (5) 15% 15. Price of sugar increased by 20%. By what % should the family reduce the consumption of sugar so that the expenditure on sugar remains the same? (1) 16.66% (2) 33.33% (3) 66.66% (4) 20% (5) 25%

10

Level II- PROFIT & LOSS 1.

An article is bought for Rs. 500 and sold for Rs. 600. Find the gain percent?

2.

A cycle is bought for Rs. 600 and sold for Rs. 510. Find the loss percent?

3.

A book is bought for Rs. 120 and sold at a gain of 20%. Find out the selling price?

4.

A book is bought for Rs. 2400 and sold at a gain of 12(1/2)%. Find out the selling price?

5.

A table is bought for Rs. 3600 and sold at loss of 16(2/3)%. Find out the selling price?

6.

Prashant incurred a loss of 75% on selling an article for Rs. 6,800. What was the cost price of the article?

7.

The owner of a stationery shop charges his customer 32% more than the cost price. If a customer paid Rs. 6600 for school books. Then what was the cost price of the school books.

8.

A. T. V set was sold for Rs. 1800 at a loss of 14(2/7)%. Find the cost price?

9.

A book was sold for Rs. 2800 at a gain of 33(1/3)%. Find the cost price?

10.

By selling a radio for Rs. 400 a man loses 20%. For how much should he sell it to gain 20%?

11.

By selling a mobile for Rs. 450, a man loses 25%. For how much should he sell it to gain 30%

12.

A man sold an article at a loss of 10%. If he had taken Rs. 60 more than before. The gain would have been 10%. Find the cost price of the radio?

13.

A man sold an article at a loss of 8%. If he had taken Rs. 450 more than before. The gain would have been 22%. Find the cost price of the article?

14.

A merchant purchases 20kgs of rice at Rs. 20 per Kg and 80kgs at Rs. 26 per Kg and sell the mixture at Rs. 27 per Kg. Find his gain?

15.

A merchant purchases 50kgs of wheat at Rs. 6.40 per Kg and 150kgs at Rs. 7.20 per Kg and sells the mixture at Rs. 7/- per Kg. Find his gain?

16.

A man purchases 80 dozen eggs at Rs. 6 per dozen, of these 160 are broken. At which price per dozen should he sell the remaining eggs in order to make a profit of 25%?

17.

A man purchases 50 dozen mangoes at Rs. 4 per dozen, of these 40 are found rotten. At hat price per dozen should he sell the remaining mangoes in order to make a profit of 5%?

18.

The profit obtained when an article is sold for Rs. 180 is same as the loss obtained when the same article is sold for Rs. 150. Find the cost price of the article?

11

19.

The profit obtained when an article is sold for Rs. 250 is same as the loss obtained when the same article is sold for Rs. 170. Find the cost price of the article?

20.

If the cost price of 12 articles is equal to the selling price of 8 articles. Find the loss or gain percent?

21.

The cost price of 4 articles is same as the selling price of 5 articles. Find the loss or gain percent?

22.

A man purchases 11 articles at Rs. 10 and sells 10 articles at Rs. 11. Find the overall loss or gain percent?

23.

A man purchases 6 articles at Rs. 5 and sells 5 articles at Rs. 6. Find the overall loss or gain percent?

24.

A reduction of 20 percent enables a person to purchase 2 more apples for Rs. 100. Find the reduced price of one apple?

25.

An increase of 10 percent enables a person to purchase 1 less lemon for Rs. 110. Find the increased price of lemon?

26.

A man purchases two building at Rs. 8 lacs each. He sells one at a gain of 12% and the other at a loss of 12%. Find the over all loss or gain percent?

27.

A man purchases two cars at Rs. 10 lacs each. He sells one at a gain of 11% and the other at a loss of 11%. Find the overall loss or gain percent?

28.

A merchant sells two articles for Rs. 4,550/- each. On one he gains 30% and on the other he losses 30%. Find the total amount of loss or gain?

29.

P sells a watch to Q at a gain of 20% and Q sells it to R at a loss of 10%. If R pays Rs. 216. What does it costs to P?

30.

A merchant sells two articles for Rs. 19,200 each. On one he gains 20% and on the other he losses 20%. Find the overall gain or loss percent?

31.

A company sells the goods to a wholesaler at 10% profit, the wholesaler sells to the retailer at 20% profit and the retailer to the customer at 30% profit. If the customer has to pay Rs. 17,160 for the article. What does it cost to the company?

32.

Two successive discounts of 30% and 20% is equal to a single discount of?

33.

Three successive discounts of 10%, 20% and 40% are equivalent to a single discount of?

34.

The marked price of a table is Rs. 400 and two successive discounts of 10% and 15% are allowed. Find the selling price?

12

35.

The marked price of a pen drive is 1260, the trader wants to give 12% discount to customer still he gets a profit of 10%. Find the cost price of the pen drive?

36.

A merchant professes to sell his goods at cost price, but uses a weight of 900 grams for a kg. Find the gain percent?

37.

A merchant professes to sell his goods at cost price, but uses a weight of 750 grams for a kg. Find the gain percent?

38.

A dealer professes to sell his goods at cost price, but gains 25% on his outlay what weight does he substitute for one kg?

39.

A dealer professes to sell his goods at cost price, but gains 33(1/3)% on his outlay. What does he substitute for one kg?

13

I.Level I- AVERAGES, ALLEGATIONS & MIXTURES 1.

2.

Find the average of first 20 even numbers. (1) 20 (2) 21 (3) 22

(4) 40

Find the average of all prime numbers between 7 and 41. (1) 20 (2)20.5 (3) 25 (4) 24

(5) 42

(5)22.5

3.

The average of 7 consecutive numbers is 20. Find the largest number. (1) 20 (2) 21 (3) 22 (4) 23 (5) 24

4.

Find the average of all odd numbers upto 100. (1) 49 (2) 50 (3) 100

(4) 200

(5) 99

5.

Virat Kohli scored at an average of 30 runs in his first 25 matches and scored at an average of 70 runs in his next 75 matches. Find his overall average. (1) 40 (2) 50 (3) 60 (4) 55 (5) 35

6.

The average mark scored by students in a class is 75. If in the next exam, each student scores 3 marks more, what will be the new average? (1) 79 (2)71 (3) 3 (4) 78 (5) cannot be determined

7.

The average weight of 43 students in a class is 56kg. If one student joins the class, the average weight increases by 1kg. Find the weight of a new student. (1) 44kg (2) 50kg (3) 100kg (4) 90 (5) 99kg

8.

The average of a cricketer in 10 innings is 32. How many runs should he score in his next innings so as to increase his average by 4 runs? (1) 40 (2) 50 (3) 76 (4) 44 (5) 86

9.

32kg of rice costing Rs 50/- per kg is mixed with 48kg of rice costing Rs 70/- per kg. find the cost of the mixture (in Rs per kg). (1) 60 (2) 62 (3) 64 (4) 66 (5) 68

10.

The cost of type 'A' sugar is Rs 15/- per kg. The cost of type 'B' sugar is Rs 30/- per kg. In what ratio should these sugars be mixed to get a mixture costing Rs 25/- per kg. (1) 1 : 2 (2) 2 : 3 (3) 3 : 4 (4) 1 : 1 (5) 1 : 3

14

Level II- AVERAGES 1.

The average of 28 numbers is 25. If each number is multiplied by 3, then what will be the new average?

2.

Find the missing number if the average of all the nine numbers is 474. 533, 128, 429, 225, 225, ____, 305, 601, 804.

3.

The average of 32 numbers is 24. If each number is increased by 6, then what will be the now average?

4.

Find the average of the following set of scores. 152, 635, 121, 423, 632, 744, 365, 253, 302

5.

The average age of a class of 40 students is 15 years. When the age of the teacher is also included, the average will be increased by 1 year, What is the age of the teacher?

6.

The average weight of 15 boys was recorded as 54 kg. If the weight of the teacher was added, the average increased by two kg. What was the teacher's weight?

7.

The average salary of 35 workers is Rs. 1800. When the salary of the manager is also included the average will be increased by Rs. 125. What is the salary of the Manager?

8.

A batsman in his 17th inning makes a score of 85 and there by increases his average by 3. What is his average after the 17th innings?

9.

A batsman in his 12th inning makes a score of 60 and there by increases his average by 2. What is his average after the 11th innings?

10.

The average age of a husband and wife, who were married 7 years ago was 25 years then. The average age including a child who was born during the interval is 22 years now. How old is the child now?

11.

Two years ago the average age of a family of 8 members was 18 years, on the addition of a child the present average age is still the same. What is the present age of the child?

12.

The average of three numbers is 24 and that of the last two numbers is 30. Find the first number?

13.

The average height of 4 boys was recorded as 150 cm. If the average of the heights of three boys out of four was 148 cms. What was the height of the fourth girl?

14.

The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds the lowest score by 172 runs. If these two innings are excluded, the average of the remaining innings is 48 runs. Find the highest score?

15 15.

The batting average for 30 innings of a cricket player is 40 runs. His highest score exceeds the lowest score by 158 runs. If these two innings are excluded, the average of the remaining innings is 37 runs. Find his lowest score?

16.

In a set of four numbers, the average of the first three numbers is 15 and that of the last three is 16. If the last number is 19, then find the first number?

17.

The average temperature of a town in the first four days of a month was 58°. The average of the second, third fourth and fifth days was 66°. If the temperatures on the first and the fifth days were in the ratio of 7 : 11, then find the temperature on the first day?

18.

The average weight of 15 men has increased by 1 kg when one of them whose weight is 60 kg is replaced by a new man, what is the weight of the new man?

19.

The average weight of 25 wrestlers is decreased by 400 gm when one of them whose weight is 86kg is replaced by a new one. Find the weight of the new man?

20.

The average height of 15 students is 159 cm. Later on it is found that while calculation the average, the reading of 147cm was wrongly read as 177cm. Then find the correct average?

21.

The average height of 10 students is 154 cm. Later on it is found that while calculating the average, the readings of 160 cm, 157 cm, and 163 cm were wrongly read as 106 cm, 175 cm and 136 cm respectively. Then find the correct average?

22.

The average weight of A, B & C is 80 kg, if a fourth man D joins them then the average weight of the four becomes 82 kg. If E, whose weight is 4kg less than D replaces A, then the average weight of B, C, D & E becomes 84 kg. What is the weight of A?

23.

The average age of a class is 16 years. When 10 new students with an average age of 15 years join the class, the average age of the class decreased by 3 months. Find the original strength of the class?

24.

The average age of a class is 20 years. When 8 new students with an average age of 22 years join the class, the average age of the class increased by half year. Find the original strength of the class?

25.

The average of eleven results is 30. if the average of the first five results is 25 and that of last five is 28. Then what is the value of the sixth result?

26.

The average marks of seven students in a test is 70. If the average marks of the first two students is 63 and that of the last four is 72. Then what are the marks obtained by third student?

27.

The average of nine numbers is 18. The average of the first five is 21 and that of the last five is 20. Find the fifth number?

16 28. 29.

30.

Of the three numbers, the first is twice the second and second is thrice the third. If the average of three numbers is 40, then what is the value of the second number? Of the three numbers, the first and the second numbers are in the ratio of 3 : 4; second and third are in the ratio of 5 : 6. If the average of the three numbers is 177, then find the largest number? The average of four consecutive odd numbers A, B, C and D respectively is 24. What is the product of B and D?

17

Level I- RATIOS, AGES , PARTNERSHIPS 1.

If Rs 4800/- is divided among A, B and C in the ratio 2 : 7 : 3, find the share of B? (1)Rs 2000/(2)Rs 2100/(3)Rs 1800/(4)Rs 2400/(5)Rs 2800/-

2.

An amount is distributed among P, Q and R in the ratio of 2 : 3 : 8. The difference between the shares of P and R is Rs 2400/-. What is the share of Q? (1)Rs 2000/(2)Rs 1100/(3)Rs 1800/(4)Rs 1400/(5)Rs 1200/-

3.

If A : B = 5 : 7 and B : C = 14 : 15, find A : B : C ? (1) 9 : 10 : 15 (2) 4 : 9 : 15 (3) 10 : 14 : 15

(4) 5 : 7 : 10

(5) 2 : 3 : 8

4.

The ratio of ages of Amit, Balu and Chari is 5 : 4 : 3. If Balu's age is 28years, find the sum of ages of three persons after 3 years. (1) 87years (2) 81years (3) 99years (4) 78years (5) 93years

5.

The ratio of present ages of a man and his daughter is 3 : 1. After 12 years, the ratio of their ages would be 11 : 5. Find the present age of man. (1) 68years (2) 64years (3) 60years (4) 54years (5) 42years

6.

Father is 24 years older than his son. After two years, father's age will be twice the age of his son. The present age of son is (1) 14years (2) 15years (3) 20years (4) 22years (5) 24years

7.

The average age of a husband and his wife was 23 years at the time of their marriage. After 5 years, they have a one year old child. The average age of family now is (1) 16years (2) 15years (3) 19years (4) 18years (5) 23years

8.

A started a business with an investment of Rs 5000/-. After 6 months, B joined him investing 8000/-. If the profit at the end of the year is Rs 36000/-, find the share of B? (1)Rs 20000/(2)Rs 12000/(3)Rs 18000/(4)Rs 15000/(5)Rs 16000/-

9.

Ajay, Vijay and Jai invested Rs 8000/-, Rs 4000/- and Rs 8000/- respectively in a business. Ajay left after six months. At the end of eight months, if there is a gain of Rs 4005/-, find the share of Vijay? (1)Rs 20000/(2)Rs 12000/(3)Rs 18000/(4)Rs 15000/(5)Rs 16000/-

10.

An amount is divided among A, B and C in the ratio (1)Rs 300/(2)Rs 1500/(3)Rs 150/-

(4)Rs 3000/-

(5)Rs 1000/-

Rs

18

Level II-RATIO AND PROPORTION 1.

In a college the ration of boys and girls is 5:8. If there are 160 girls, find the number of boys in the class?

2.

The cost prices of mobile and tablet are in the ratio of 4:7. If the tablet cost price is Rs. 15000 more than the mobile cost, then what is the cost price of the tablet?

3.

Abhi's monthly income is two-sevenths of Rak's monthly income. Rak's annual income is Rs. 4.2 Lac. What is Abhi's annual income?

4.

The ratio of Sita's Riya's and Kunal's monthly income is 84: 76: 89. If the Riya's annual income is Rs. 4,56,000/- what is the sum of Sita's and Kunal's annual income? (In some cases monthly income is used while in others annual income is used.)

5.

7 years ago the difference between the ages of A and B was 14 years. After 7 years the ratio of their ages will be 3:4. What is the present age of A?

6.

7 years ago the sum of the ages of A and B was 74 years. At present the ratio of their ages is 5:6. What is the present age of B?

7.

The ratio of the present ages of Madan and Kamal is 8:5. After eight years, Madan's age will be 40 years. What was Kamal's age 6 years ago?

8.

The ratio of Binoy's and Alisha's present ages is 5 : 6. Three years hence the ratio of their ages will be 6 : 7 respectively. What was Alisha's age eight years ago?

9.

Four years ago A's age was twice that of B's. After four years their ages will be in the ratio of 3 : 2. What is the present age of A?

10.

Two numbers are in the ratio of 2 : 3. If 14 is added to each of the numbers then the ratio becomes 12: 17. Find the small number?

11.

Two numbers are in the ratio of 5 : 8. If 18 is subtracted from each number then the ratio becomes 2 : 5. Find the larger number?

12.

The incomes of A and B are in the ratio of 4 : 5 and their expenses are in the ratio of 5 : 7. If each of them saves Rs. 1500, then what is the income of B?

13.

At present, Anil's age is 1.5 times the age of Ravi. Eight years hence, the ratio of their ages will be 25 : 18. What is Ravi's present age?

14.

The ratio of milk and water in a vessel containing 60 litres of the mixture is 3 : 2. Find the quantity of water to be added to make the ratio 2 : 3?

19 15.

The ratio of milk and water in a vessel containing 80 litres of the mixture is 9 : 7. Find the quantity of water to be added to make the ratio 5: 6?

16.

Three equal capacity vessel contain liquor and water in ratio of 1 : 2, 2 : 1 and 3 : 1. If all are mixed in a big vessel; find the ratio of liquor and water in the big vessel?

17.

If A : B = 2 : 3, B : C = 4 : 3 then find A : B : C ?

18.

If A : B = 2 : 3, B : C = 4 : 3, C : D = 2 : 3 then find A : B : C : D?

19.

If A : B = 3 : 4, B : C = 8 : 10, C : D = 15 : 17 then find A : D?

20.

10 table cost as much as 27 stools, 9 stools cost as much as 15 chairs, 9 chairs cost as much as 3 benches, 7 benches cost as much as 14 desks, if 1 desk cost is Rs. 500. What is cost of 1 table?

21.

If 3A = 4B = 5C then find A : B : C.

22.

Rs. 1870 is divided into three parts such that half of first part, one third of second part; one sixth of third part are equal. What is the third part?

23.

Rs. 3600 is divided among A, B, C such that half of A's amount, one-third of B's amount, one fourth of C's amount are equal. What is A's amount?

24.

Rs. 425 is divided among 4 men, 5 women and 6 boys such that the wages of 1 man, 1 woman and 1 boy are in the ratio of 9 : 8 : 4. What is wage of one woman?

25.

In a bag 1 rupee, 50 paise, 25 paise coins are in the ratio of 5 : 6 : 7. If the total sum in the bag is Rs. 78, then find the number of 50 paise coins in the bag?

26.

In a bag 50 paise, 25 paise, 10 paise coins are in the ratio of 3 : 4 : 5. If the total sum in the bag is Rs. 30, then find the number of 10 paise coins?

27.

A bag contains Rs. 5/-, 2/- and 1/- coins whose amounts are in the ration 2 : 1 : 1. Find the number of Rs. 5/- coins, if there are 190 coins in total in bag?

28.

A bag contains 230 coins in the form of Rs. 1/- 0.50 and 0.25 coins whose amounts are in the ratio 10 : 8 : 5. Find the number of 25 paise coins in the bag?

29.

Two numbers are in the ratio 5 : 9. The first number is decreased by 19% and the second number is increased by 10% . Find the ratio of the resultant values?

30.

Find the inverse ratio of 5 : 7?

31.

Find the inverse ratio of 3 : 4 : 6?

32.

Find the duplicate ratio of 19 : 17?

33.

Find the sub duplicate ratio of 36 : 121?

20

34.

Find the triplicate ratio of 5 : 9?

35.

Find the sub triplicate ratio of 1331 : 343?

36.

Find the compound ratio of 2 : 5, 10 : 7, 14 : 9?

37.

Find the 3rd proportion for 15, 8, 24?

38.

Find the 4th proportion for 20, 21, 40?

39.

Find the mean proportion between 8 and 14?

40.

Find the 3rd proportion for 72 and 24 ?

21

Level II- PARTNERSHIP 1.

3 partners start a business with 60,000, 40,000 and 1,00,000. Find the ratio of their respective profits at the end of the business?

2.

3 partners A, B and C put equal investments in a business for 1 year, 10 months and 6 months respectively. Find their profit sharing ratio at the end of the year?

3.

Three partners Ramu, Krishna and Venkat start a business investing Rs. 80,000/-, 60,000/- and 50,000/ They continue in the business for 9 months, 8 months and 1 year respectively. Find their profit sharing ratio at the end of one year?

4.

Two partners Keshav and Radha invests Rs. 18,00,000 and Rs. 20, 00, 000 for 10 months and 12 months respectively. Find their ratio of profits at the end of one year?

5.

The capitals of 3 partners are in the ratio 5 : 2 : 3 and their profit sharing ratio is 10 : 8 : 9. Find the ratio of the terms of their investment?

6.

3 partners invest their capitals for time periods which are in the ratio 2 : 3 : 4 and they have shared the total profit in the ratio 5 : 4 : 3. Find the ratio of their respective capitals?

7.

3 partners invest their capitals are in the ratio 3 : 5 : 1 and the ratio of time periods of investments 5 : 2 :2. Find the profit sharing ratio?

8.

A & B enter into a partnership with Rs. 80,000 and Rs. 90,000. After 8 months B leaves the business. Find the share of A out of total profit of Rs. 77,000 at the end of one year?

9.

Purna started a business with Rs. 98,000. After 4 months Chaitu joined the business with this capital of Rs. 63,000. Find the total profit, if profit shared by Chaitu at the end of the year was Rs. 15,000?

10.

A & B being working and sleeping partners, start a business with Rs. 5,000 and Rs. 8,000. It is agreed to give 22% of total profit to A for managing the business and the remaining is shared in the ratio of their capitals, Find total profit, if 'A' has gained Rs. 2028.00?

11.

M & N two partners enter into a partnership with Rs. 45,000 and 60,000. 'M' acts as managing partner while 'N' is a sleeping partner. M gets 30% of total profit to manage the business and the remaining profit is shared in the ratio of their investments. Find the profit gained by M, If N has gained by Rs. 19,600/-?

12.

Two partners P & Q start a business with Rs. 1.50L and Rs. 1.20L. But, after 8 months, Q has withdrawn Rs.30K from the business. At the end of one year find the total profit. If Q's share is Rs. 44,000/-

13.

Two partners Chaitu & Vamsi start a business Rs. 85,000 and Rs. 90,000. But after 4 months Vamsi invests Rs. 56,250 more in the business. Find, by how much does Vamsi get more profit than by Chaitu out of total profit of Rs. 98,000 out of which 20% is given to charity and the remaining is shared in their profit sharing ratio at the end of one year?

14.

'A' started a business with Rs. 70,000. After some months, 'B' joined the business with Rs. 60,000. If they shared the total profit at the end of one year in the ratio 2 : 1. Find after how many months did B join the business?

15.

A puts 2/3 of capital and gets ¾ of total profit at the end of one year. If A invests for 1 year find how long does B put his capital?

22

Level I- SIMPLE INTEREST AND COMPOUND INTEREST 1.

What is the simple interest on Rs 5300/- at 17%p.a for 6 years? (1)Rs 4600/(2)Rs 4106/(3)Rs 5100/(4)Rs 5406/-

(5)Rs 5860/-

2.

Certain sum doubles itself in 20 years at the rate of simple interest. Find the rate of interest. (1)10%p.a (2)6%p.a (3)8%p.a (4)20%p.a (5)5%p.a

3.

What sum will yield a simple interest of Rs 5600/- in 4 years at the rate of 7%p.a? (1)Rs 20000/(2)Rs 56000/(3)Rs 30000/(4)Rs 28000/-

(5)Rs 58000/-

4.

What is the compound interest earned after 2 years on Rs 6000/- at the rate of 20%p.a? (1)Rs 2400/(2)Rs 2560/(3)Rs 2640/(4)Rs 2840/(5)Rs 8640/-

5.

Compound interest earned on a certain sum for second and third years is Rs 1200/- and respectively. Find the rate of interest. (1)10%p.a (2)6%p.a (3)8%p.a (4)20%p.a (5)5%p.a

6.

What is the difference between simple interest and compound interest for two years at the rate of 30%p.a on Rs 5400/-? (1)Rs 446/(2)Rs 416/(3)Rs 540/(4)Rs 486/(5)Rs 586/-

7.

The difference between compound interest and simple interest for two years at the rate of 15%p.a is Rs 225. Find the sum. (1)Rs 22500/(2)Rs 10000/(3)Rs 54000/(4)Rs 20000/(5)Rs 15000/-

8.

The compound interest earned on a certain sum for 2 years at the rate of 10%p.a is Rs 6300/-. The simple interest on the same sum for double the time at half the rate of interest is (1)Rs 6000/(2)Rs 6300/(3)Rs 6400/(4)Rs 30000/(5)Rs 4000/-

9.

Arjun took a loan of Rs 4000/- at S.I. After 4 years he cleared the loan by paying Rs 6880/-. Find the rate of interest. (1)10%p.a (2)16%p.a (3)18%p.a (4)20%p.a (5)5%p.a

10.

On a certain sum of money, the rate of simple interest is 5%p.a for the first 3 years, 6%p.a for the next 4 years and 8%p.a for the next years beyond the first 7 years. If the interest obtained in 12 years is Rs 7900/-, find the sum. (1)Rs 20000/(2)Rs 10000/(3)Rs 30000/(4)Rs 25000/(5)Rs 8000/-

Rs 1272/

Level II- SIMPLE INTEREST 1.

Find the simple interest on Rs. 800 for 2 years at 4% p.a?

2.

What would be the simple interest accrued in 4 years on a principal of Rs. 16, 500 at the rate of 16% p.a?

3.

I borrowed a sum of Rs. 12000/- from SBI at the rate of 12% p.a Find the amount to be paid by me at the end of the 4th year?

4.

Nishkal borrowed a sum of Rs. 50,000 from Bank of India at the rate 18% p.a. Find the amount paid by her at the end of the 2 years and 6 months?

23 5.

The simple interest for 6 years and 6 months at 6% p.a is Rs. 390. Find the sum?

6.

What sum will amount to Rs. 8,679/- in 3 years at 10.5% p.a. Simple interest?

7.

What sum will amount to Rs. 2,500/- in 5 years at 5% p.a. Simple interest?

8.

The simple interest for 5 years at 7(1/2)% p.a. is Rs. 450. Find sum?

9.

A sum was put at simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs. 72 more. Find the sum?

10.

A sum was put at simple interest at a certain rate for 3 years. Had it been put at 1% lesser rate, it would have fetched Rs. 24 less. Find the sum?

11.

In what time will be the simple interest on Rs 8,000/- at 6% p.a. be Rs. 960?

12.

At what rate % p.a will be the simple interest on Rs. 25,00/- for 3 years is Rs. 375?

13.

The simple interest accrued on an amount of Rs. 9530/- at the end of 6 years is Rs. 2859/-. What is the rate of simple interest p.c.p.a?

14.

At what rate% p.a will be simple interest on Rs. 3600/- for 4 years and 8 months be Rs. 672?

15.

In how many years will a sum of money becomes double itself at 25% p.a. simple interest?

16.

At what rate % p.a a sum of money becomes four fold in 15 years?

17.

A sum of money becomes double itself in 5 years at simple interest. In how many years will it become thrice at the same rate?

18.

A sum of money becomes triple itself in 8 years at simple interest. In how many years will it become ten times at the same rate?

19.

The simple interest accrued in 9 years on a principal of Rs. 24,250 is 162% of the principal. What is the rate of interest % p.a?

20.

The simple interest accrued in 3 years on a principal of Rs. 24,000 is one-eighth the principal. What is the rate of simple interest?

21.

The simple interest accrued in three years on a principal of Rs. 25,000 is three twentieths the principal. What is the rate of the simple interest?

22.

The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate % p.a. Find the rate%?

24 23.

The simple interest on a sum of money is 1/25 of the principal and the number of years is equal to the rate p.c.p.a. Find the time period?

24.

A certain sum amounts to Rs. 1680 in 3 years and to Rs. 1920 in 7 years, find the sum, rate of interest?

25.

A part of the sum of Rs. 3000 is invested at 5% p.a and the rest at 6% p.a. The whole annual interest received was Rs. 162. Find the money lent at 6% p.a?

26.

A part of the sum of Rs. 10000 is invested at 4% p.a and the rest at 6% p.a. The whole interest received was Rs. 520. Find the money lent at 4% p.a?

27.

Nadal invested an amount of Rs. 12000 at the rate of 10% p.a simple interest and another amount at the rate of 20% p.a simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?

28.

In what time will be the simple interest on Rs. 6000/- at 4.5% p.a equal to the interest on Rs.4500/- for 6 years at the rate 5% p.a?

29.

A sum of Rs. 1800 is lent into two parts so that interest on the first part for 4 years at 3% p.a may be equal to the interest on the second part for 1.5 years at 4% p.a. Find the first part?

30.

What annual payment will discharge a debt of Rs. 6450/- due in 4 years at 5% p.a?

25

Level II- COMPOUND INTEREST 1.

1. Write down the expression to find C.I on Rs. A at B% p.a. for P years the interest being compounded half yearly?

2.

Find the compound interest on Rs. 16,000/- for 3 years at 5% p.a?

3.

Find the compound interest on Rs. 3000/- for 3 years at 10% p.a.?

4.

Find the compound interest on Rs. 24,000/- at 10% p.a for 1 year and 6 months, the interest being compounded half yearly?

5.

On what sum of money will be compound interest be Rs. 164 in 2 years at 5% p.a?

6.

On what sum of money will be compound interest be Rs. 168 in 2 years at 10% p.a?

7.

The C.I on a certain sum of money for 2 years at 5% p.a is Rs. 328. What is the corresponding S.I?

8.

The C. I on a certain sum of money for 2 years at 10% p.a is Rs. 378. What is the corresponding S.I?

9.

The difference between simple interest and compound interest on a certain sum for 2 years at 5% p.a is Rs. 15. Find the sum?

10.

The difference between simple interest and compound interest on a certain sum for 2 years at 4% p.a. is Rs. 10. Find the sum?

11.

The difference between simple interest and compound interest on certain sum for 3 years at 10% p.a. is Rs. 15.50 ps. Find the sum?

12.

The difference between simple interest and compound interest on certain sum for 3 years at 4% p.a. is Rs.15.20 ps. Find the sum?

13.

The annual increase in the population of a town is 10% p.a. The present population is 15,125. What was it 2 years ago?

14.

The annual increase in the population of a town is 5% p.a. The present population is 92, 610. What was it 3 years ago?

15.

A sum of money lent at C.I amounts to Rs. 672 in 2 years and to Rs. 714 in 3 years. Find the rate?

16.

A sm of money lent at C.I amounts to Rs. 2420 in 2 years and to Rs. 2662 in 3 years. Find the rate?

17.

The C.I on a sum of money for 2 years is Rs. 205 and the S.I on the same sum for the same period at the same rate is Rs. 200. Find the sum and rate% p.a?

18.

The C.I on a sum of money for 2 years is Rs. 1680/- and the S.I on the same sum for the same period at the same rate is Rs. 1600/-. Find the sum and rate% p.a?

19.

A building worth Rs. 1,33,100/- is constructed on the land worth Rs. 72,900/-. After how many years will the values of both the same, if the building depreciates at 10% p.a. and the land appreciates at 10% p.a?

26

20.

At C.I at what % p.a will a sum of money become 8 times in 3 years?

21.

At what % p.a will a sum of money become 9 times in 2 years at C.I?

22.

At C.I a certain sum becomes double itself in 3 years. In how many years it will become 8 times?

23.

At C.I a certain sum becomes double itself in 7 years. In how many years it will become 32 times?

24.

At compounded interest a sum of Rs. 1000 becomes Rs. 3000 in 5 years. Find the amount it will become in 15 years at the same rate?

25.

At compounded interest a sum of Rs. 1200 becomes Rs. 2400 in 3 years. Find the amount it will become in 12 years at the same rate?

27

VII.Level I- TIME AND WORK ; PIPES AND CISTERNS 1.

A alone can complete the work in 20 days. B alone can do it in 30 days. In how many days A and B together can complete the work? (1)12 days (2)50 days (3)25 days (4)15 days (5)10 days

2.

A alone can complete the work in 40 days. A and B together can do it in 30 days. In how many days B alone can complete the work? (1)100 days (2)50 days (3)10 days (4)150 days (5)120 days

3.

A, B and C can do a job in 20 days, 30 days and 60 days respectively. If they work together, in how many days will the work be finished ? (1)10 days (2)110 days (3)100 days (4)15 days (5)12 days

4.

Two taps A and B can fill a tank in 10 hours and 15 hours respectively. Another tap C can empty the full tank in 12 hours. How many hours will be required if all of them are opened simultaneously to fill an empty tank completely? (1)10 hours (2)11 hours (3)12 hours (4)4 hours (5)13 hours

5.

A, B and C can do a job in 20 days, 30 days and 60 days respectively. If they work together and received Rs.1200/- after completing the work, find the share of A? (1)Rs 200/(2)Rs 300/(3)Rs 600/(4)Rs 500/(5)Rs 400/-

6.

A alone can complete the work in 20 days, B alone can complete it in 30 days. If A, B & C work together, the work will be completed in 10 days . If total wages of Rs 6000/- is paid for the work, find the share of C?

7.

A alone can complete the work in 60 days. If B is 50% more efficient than A, in how many days B alone can complete the same work. (1) 30 days (2) 45 days (3) 40 days (4) 90 days (5) 75 days

8.

If 50 men can complete the work in 50 days, then 25 men can complete the same work in how many days? (1) 25 days (2) 45 days (3) 100 days (4) 120 days (5) 75 days

28

Level II- TIME AND WORK 1.

'P' can do a piece of work in 10 days, and 'Q' in 15 days. If they work together, in how many days will the work be completed?

2.

Pipe 'P' can fill a tank in 20 mins, Pipe 'Q' in 30 mins. In how many minutes they together can fill the empty tank?

3.

A tap can an empty tank in 12 hours and a leakage can empty the whole tank in 20 hours. If the tap and the leakage are working simultaneously, how long will it take to fill the whole tank?

4.

If pipes 'A' and 'B' together can fill an empty tank in 12 mins, 'B' alone can fill it in 36 mins. In how many mins can 'A' alone fill the empty tank?

5.

'M' and 'N' together can do a work in 6 days. 'M' alone can do the same work in 9 days. In how many days 'N' alone can do it?

6.

'A', 'B' & 'C' can finish a job in 12, 15 & 10 days respectively. In how many days can they finish it, if they work together?

7.

'A' can fill a tank in 18 minutes 'B' can empty the full tank in 24 minutes. 'C' can fill the empty tank in 36 minutes. If they work together in how many minutes they can fill the empty tank?

8.

Pipe 'A' alone can fill a tank in 24 mins, Pipe 'B' in 30 mins. Pipe 'C' can empty the full tank in 40 mins, if all the three pipes are working together in how many minutes the empty tank will be filled?

9.

Two taps can fill a tank in 20 min and 25 min. In how many min. can the tank be filled if it is already 30% full and there is a leakage which can empty full tank in 50 mis.

10.

'A' & 'B' can do a piece of work in 12 days. 'B' & 'C' in 15 days and 'C' & 'A' in 20 days. In how many days all of them can do the work? In how many days 'B' can alone do it?

11.

'A' & 'B' undertook to do a piece of work for Rs. 450. 'A' alone could do it in 50 days and B in 40 days. Find the B's share?

12.

'A', 'B' & 'C' undertook to do a piece of wok for Rs. 15,600. They alone could do it in 20, 30 & 40 days respectively. Find out C's share?

13.

'A' is twice as capable as 'B', 'B' is thrice as capable as 'C'. They together can do a work in 100 days. In how many days 'C' alone can do it?

14.

'A' & 'B' can do a piece of work in 20 & 25 days respectively. They work together for 10 days and then 'B’ goes away. In how many days will 'A' finish the remaining work?

15.

A & B can do a piece of work in 15 & 18 days respectively. They work together for 5 days and then A goes way. In how many days with B finish the remaining work?

16.

A & B can do a piece of work in 45 & 40 days. They begin the work together, but A leaves after some days. B completes the remaining work in 23 days. After how many days does A leave?

29

17. A has completed half of the work in 10 days. Then B joined with him and worked for 4 days. A completed the remaining work in 5 days. In how many days B alone can do the work? 18. A & B can do a piece of work in 9 and 12 days respectively. If they work on alternate days A beginning the work. In how many days will the work be completely? 19. A & B can do a piece of work in 40 and 50 days respectively. If they work on alternate days. A beginning the work. In how many days will the work be completely? 20.

If 24 men can do a piece of work in 36 days, in how many days can 54 men do it?

21. If 44 men can do a piece of work in 24 days. Find the number of men required to complete the same work in 32 days? 22. days?

If 18 binders can bind 900 books in 10 days. How many binders will be required to bind 660 books in 12

23. If 3 pumps can empty a tank in 2 days by working 8 hours a day, then how many hours a day must 4 pumps work to empty the tank in one day? 24.

A fodder stock lasts for 36 days for 20 cows. How long will it last for 15 cows?

25. If 6 men working 8 hours a day earn Rs. 840 per week, then 9 men working 6 hours a day will earn how much per week? 26. 16 men can do a job in 30 days. After 10 days 6 men left. In how many days will the remaining work be finished? 27. 12 men can complete a work in 8 days. Three days after they started the work, 3 more men joined them. In how many days will the remaining work be completed? 28. A certain work can be done in a certain time by 36 men, but had there been 9 men more, it could have been done in 5 days less. In how many days can 20 men do the same work? 29.

3 men or 4 women can reap a field in 43 days. How long will 7 men and 15 women take to reap it?

30. do it?

If 10 men or 12 women can do a work in 16 days. In how many days can 15 men and 6 women together

31. 3 men can complete a piece of work in 18 days. 6 boys can also complete the same piece of work in 18 days. In how many days will 3 men and 4 boys together complete the same piece of work? 32. If 7 men or 8 women or 10 boys can finish a piece of work in 24 days working 9 hours. Find how many men with the help of 4 women and 5 boys can finish the same work in 18 days working 6 hours? 33. If 2 men and 3 boys can do a piece of work in 8 days, 3 men and 2 boys do the same in 7 days. How many days will 5 men and 4 boys take to do it?

30

Level 1- TIME AND DISTANCE (TRAINS ; BOATS AND STREAMS) 1.

A 300m long train running at a speed of 72kmph. In what time will it cross a person standing? (1)20secs (2) 30secs (3) 10secs (4) 25secs (5) 15secs

2.

A 150m long train running at a speed of 54kmph. In what time will it cross a platform of length 600m? (1)40secs (2) 35secs (3) 45secs (4) 50secs (5) 55secs

3.

A train of length 350m crosses a platform of length 420m in 77 seconds. What is the speed of the train in kmph? (1)54 (2) 72 (3) 18 (4) 10 (5) 36

4.

A 400m long train running at a speed of 54kmph. In what time will it cross a person running in same direction at a speed of 18kmph? (1)40secs (2) 35secs (3) 45secs (4) 20secs (5) 55secs

5.

A 300m long train running at a speed of 43kmph. In what time will it cross another train of length 600m running in opposite direction at a speed of 47kmph? (1)30secs (2) 24secs (3) 90secs (4) 36secs (5) 54secs

6.

A man can row upstream at 20kmph and downstream at 36kmph. Find the speed of a man in still water and speed of stream(in kmph)? (1)14, 4 (2) 20, 16 (3) 24, 12 (4) 25, 11 (5) 28, 8

7.

A person can row at a speed of 8kmph in still water. He takes 8 hours to row from A to B and return. What is the distance between A and B if the speed of a stream is 2kmph? (1) 20km (2) 30km (3) 40km (4) 50km (5) none of these

8.

Travelling at a speed of 16kmph, a person reaches his college from his house 10 minutes early. If he travels at a speed of 12kmph, he is late by 20 minutes. Find the distance between his college and house? (1) 12 km (2) 15 km (3) 18 km (4) 20 km (5) 24 km

9.

A and B are 250km apart. They start moving towards each other simultaneously at speeds of 10kmph and 15kmph respectively. In how many hours will they meet? (1) 12 hours (2) 10 hours (3) 50 hours (4) 20 hours (5) 25 hours

31

Level II- TIME AND DISTANCE 1.

In what time can a train cover a distance of 450 Kms at the speed of 25mps?

2.

The speed of a train is 72kmph. What is the distance in meters covered by the train in 3 minutes?

3.

A train covers a distance in 40 min if it runs at speed of 45 Kmph. The speed at which the train must run to reduce the time of journey to 30 minutes will be?

4.

A train covers a distance in 30 minutes, if it runs at a speed of 30 Kmph. The speed at which the train must run to reduce the time of journey to 2o minutes will be?

5.

The average speed of a train including stoppages was 25 Kmph excluding stoppages it was 40 Kmph. How many minutes per hour did the train stop?

6.

A man takes 5H 45M in walking to a certain place and riding back. He would have gained 2hrs by riding both the ways. The time he would have taken walking both the ways?

7.

A man takes 7H 45M in walking to a certain place and riding back. He would have loss 2hrs by walking both the wasy. The time he would have taken riding both the ways?

8.

I have to cover a distance of 240 Km, of which ¼ of the distance at a speed of 30Kmph, 1/3 of the distance at a speed of 40 Kmph and the remaining at a speed of 50Kmph. What is my average speed?

9.

The average speed of a train including stoppages was 26Kmph and excluding stoppages it was 40Kmph. How many mins per hour did the train stop?

10.

A car travels 45Kms in 30 Min. and then it travels 1(1/2) hrs. at 60Kmph. What is the average speed of the whole journey?

11.

A train covers a certain distance at 40Kmph and returns the same distance at 60Kmph. Find the average speed of the whole journey?

12.

A boy goes to school from village at a speed of 3Kmph and returns the village at a speed of 2Kmph. If he takes 5 hrs in all the distance between the village and school is ?

13.

A teacher goes to school from village at a speed of 6Kmph and return the village at a speed of 5Kmph. If he takes 11hrs in all the distance between the village & school is?

14.

If I walk at a speed of 3Kmph. I can reach my office 5 mins late. But if I walk at a speed of 4Kmph can reach 5 min early. The distance between the house and office is?

15.

Walking at 5/6th of his usual speed, a man is 10 min late. The usual time taken by him to cover the distance is?

32 16.

Walking at 4/5th of his usual speed, a man is 12 min late. The usual time taken by him to cover the distance is?

17.

The distance between the two stations is 330Kms. A train starts from the first station with a speed of 30Kmph towards the second station. At the same time another train starts from the second station with a speed of 25Kmph towards the first station. The distance in Kms. Where they meet from first station is?

18.

The distance between the two stations is 350 Kms. A train starts from the first station with a speed of 30Kmph towards the second station. At the same time another train starts from the second station with a speed of 40Kmph towards the first station. The distance in Kms. Where they meet from second station is?

19.

The distance between A & B is 440 Km. P starts from A with a speed of 30 Kmph at 4 A.M towards B and Q starts from B with a speed of 40 Kmph at 7. A.M. Towards A. Find the distance where they meet from A? And at what time do they meet?

20.

A thief steals a car at 2.30 pm and drives it at 60Kmph. The theft is discovered at 3 pm and the owner sets off in another car at 75Kmph. When will he overtake the thief?

21.

A train 100mts. Long is running at a speed of 30Kmph. In what time will it pass a telegraph pole?

22.

A train 400mts. Long is running at a speed of 60Kmph. Find out the time required for train to cross a platform of 1Km?

23.

Two trains running on parallel line in the same direction at a speed of 108 Kmph and 72 Kmph. The faster train crosses pole in 16 sec earlier than the slower train. The length of the faster train is?

24.

Rajadhani Express left Delhi for Mumbai at 14.30 hrs, traveling at a speed of 60 Kmph and Durronto Express left Delhi for Mumbai on the same way at 16.30 hrs, travelling at a speed of 80Kmph. How far away from Delhi will they meet?

25.

A train travelling at a constant speed crosses a 96mts long platform in 12 sec and another 14.1mts long platform in 15 sec. Find out the length of the train?

26.

A train travelling at a constant speed crosses a 120 mts long platform in 15 sec. Find the length of the train?

27.

A boat travels 15kms in 5 hours in still water. If boat travel same distance along the stream in 3 hours. What is the speed of the stream?

28.

A boat travels 10kms upstream in 2hrs. The speed of the boat in still water is 7.5Kmph. How much time will the boat take to go 20Kms and return back?

29. The speed of the boat in still water is 12.5Kmph and the sped of the water is 2.5Kmph. Boat takes 90 minutes to go a certain place and to return back. What is the total distance covered by the boat? 30. A car travels a distance of 715Km at a uniform speed. If the speed of the car is 10Kmph more it takes 2 hours less to cover the same distance. The original speed was?

33

Level I- PERMUTATIONS AND COMBINATIONS 1.

1. In how many different ways can the letters of the word “PROBLEM” be arranged? (1)360 (2) 720 (3) 840 (4) 5040 (5) 2520

2.

In how many different ways can the letters of the word “RUMOUR” be arranged? (1)24 (2) 720 (3) 120 (4) 360 (5) 180

3.

In how many different ways can the letters of the word “DESIRE” be arranged, so that vowels are always together? (1)360 (2) 720 (3) 24 (4) 144 (5) 72

4.

The number of arrangements that can be made with the letters of “RAINBOW”, such that vowels always occupy even place. (1)36 (2) 720 (3) 120 (4) 144 (5) 72

5.

In how many ways can a committee of 7 members be formed out of 10 members? (1)36 (2) 720 (3) 120 (4) 144 (5) 72

6.

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways it can be done? (1)564 (2) 645 (3) 735 (4) 756 (5) none of these

7.

20 members attended the party. If each person in the party shakes hand with every other person once, find the total number of handshakes? (1)190 (2) 380 (3) 39 (4) 210 (5) 420

8.

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways 3 balls can be drawn from the box, if at least one black ball is to be included in the draw? (1)32 (2) 64 (3) 48 (4) 96 (5) none of these Level II- PERMUTATIONS & COMBINATIONS

1.

How many arrangements can be made out of the letters of the following words I. THING a) 24 b) 120 c) 240 d) 360 e) None II. BANKING a) 5040 b) 2540 c) 5080d) 2520 e) None III. STRESS a) 360 b) 240 c) 720 d) 120 e) None IV) BANANA a) 720 b) 120 c) 140 d) 60 e) None

34 11.

In how many ways 6 boys can sit round the table a) 120 b) 720 c) 5040d) 10080 e) None

12.

In how many ways 5 boys sit a round the table, so that two particular boys are I) Next to each other a) 48 b) 12 c) 24 d) 42 e) None II) Separated a) 12 b) 106 c) 104 d) 108 e) None In how many ways can a committee of 3 can be formed from a group of 9 persons. a) 84 b) 60 c) 64 d) 56 e) None

13.

14.

How many triangles can be formed by joining the vertices of an Octagon? a) 65 b) 64 c) 56 d) 54 e) None

15.

Find the number of diagonals that can be drawn by joining the vertices of Hexagon? a) 15 b) 9 c) 8 d) 6 e) None

16.

In how many ways can a committee consisting of 3 men and 2 women, be formed from a group of 7 men and 5 Women? a) 525 b) 625 c) 325 d) 225 e) None

17.

A committee of 5 members is going to be formed with three trainees, 4 professors and 6 research scholars. In how many ways they can be selected for the committee, so that they are 2 trainees and 3 research scholars? a) 15 b) 45 c) 60 d) 79 e) None

18.

From a bag containing 5 red balls and 4 blue balls, How many ways 3 red balls and 2 blue balls chosen? a) 40 b) 36 c) 90 d) 60 e) None

19.

Out of 5 man and 4 women's a committee of 5 to be formed, find the number of ways in which this can be done, so as to included at least two women? a) 80 b) 60 c) 30 d) 105 e) None

20.

In how many ways can one or more of six friends be invited for a dinner? a) 63 b) 50 c) 93 d) 40 e) None

21.

300 games were played at a chess tournament. Each contestant plays against the other. How many participants were there? a) 25 b) 24 c) 23 d) 21 e) None

22.

In a group 12 persons, each person make hands with other in how many shake hands will be taken place? a) 60 b) 132 c) 66 d) 64 e) None

35

Level I- PROBABILITY 1.

When two dice are rolled simultaneously, what is the probability of getting a sum of 8? (1) 5/(36 ) (2) 5/12 (3) 1/4 (4) 1/5 (5) 7/36 If three dice are rolled simultaneously, what is the probability of getting an odd number on each dice? (1) 1/(36 ) (2) 1/12 (3) 1/4 (4) 1/8 (5) 1/72 If three 6 faced dice are rolled simultaneously, what is the probability that all three show same number on them? (1) 1/(36 ) (2) 1/12 (3) 1/4 (4) 1/8 (5) 1/72 When two dice are rolled simultaneously, what is the probability of getting a sum of at least 9? (1) 5/(36 ) (2) 5/12 (3) 1/4 (4) 5/18 (5) 5/36 Seven unbiased coins are tossed. What is the probability of getting 5 heads and 2 tails? (1) 1/(8 ) (2) 1/12 (3) 21/64 (4) 21/128 (5) 21/256 What is the chance that non leap year has 53 Mondays? (1) 1/(7 ) (2) 2/7 (3) 3/7 (5) 5/7

(4) 4/7

Two cards are randomly drawn from a pack of 52 cards. What is the probability that both are diamonds? (1) 1/(17 ) (2) 2/17 (3) 3/17 (4) 4/17 (5) 5/17 If a card is picked randomly from a pack of cards, what is the probability of that card being a king or heart? (1) 17/52 (2) 1/17 (3) 3/13 (4) 4/17 (5) 4/13 A box contains 20 materials, out of which 4 are damaged. If two materials are chosen at random, what is the probability that at least one of these is damaged? (1) 4/19 (2) 7/19 (3) 12/19 (4) 5/19 (5) 10/19

36

Level II- PROBABILITY 1. 1.

Questions(1-5): A bag contains 6 red balls, 4 blue balls, 2 green balls and 3 yellow balls If two balls are picked at random, what is the probability that both balls are red? a) 1/6 b) 1/3 c) 2/15 d) 2/5 e) None

2.

If three balls are picked at random, what is the probability that two are blue and one is yellow? a) 3/91 b) 1/5 c) 18/455 d) 7/15 e) None

3.

If 4 balls are picked at random, what is the probability that at least one is blue? a) 4/15 b) 69/91 c) 11/15 d) 22/91 e) None

4.

If 2 balls are picked at random, what is the probability that either both are green or both are yellow? a) 5/91 b) 1/35 c) 1/3 d) 4/105 e) None\

5.

If 4 balls are picked at random, what is the probability that one is green, two are blue and one is red? a) 24/455 b) 13/35 c) 11/15 d) 7/69 e) None

Questions (6 – 8): A bag contains 3 White, 4 Green and 5 Red balls. 3 balls are drawn at random, what is the probability that there are 6.

3 balls of the same colour a) 3/44 b) 74/220 c) 55/84 d) 49/55 e) None

7.

Exactly 2 Red balls a) 44/55 b) 74/220 c) 7/22 d) 79/220 e) None

8.

At least one green ball a) 15/220 b) 2/11 c) 4/5 d) 41/55 e) None

9.

In a box of 12 fruits, 1/3 become rotten, if 3 fruits are taken at random, what is the probability that at least one fruit of the fruits picked up not rotten? a) 53/55 b) 54/55 c) 52/55 d) 51/55 e) None

10.

One coin tossed in getting a head, what is the probability? a) 1/2 b) -1/2 c) 1 d) -1 e) None

11.

Two coins tossed what is the probability of getting two tails? a) 1/4 b) 1/2 c) 1/3 d) 1/5 e) None

12.

What is the probability of getting all the heads, when 3 coins tossed simultaneously? a) 1/8 b) 1/4 c) 1/2 d) 1/16 e) None

13.

What is the probability getting an odd number in a throw a Die? a) 5/6 b) 3/5 c) 1/2 d) 1/4 e) None

37 14.

What is the probability getting a number greater than 2 when a die is thrown? a) 3/2 b) 2/3 c) 1/6 d) 1/2 e) None

15.

What is the probability getting a multiple of 2 when a die is thrown? a) 3/2 b) 2/3 c) 1/6 d) 1/2 e) None

Questions (16 – 20): A card is drawn from a pack of cards what is the probability that the card is 16. of black suit a) 1/6 b) -1/6 c) 5/6 d) 1/2 e) None 17.

18.

19.

20.

A spade card a) 3/4 b) 1/4

c) 5/6

d) -1/4

e) None

A red face card a) 2/13 b) 3/13

c) 4/13

d) 1/26

e) None

A face card of club a) 5/6 b) 2/13

c) 1/13

d) 5/13

e) None

Diamond or King a) 4/13 b) 1/13

c) 3/26

d) 5/26

e) None

Questions (21 – 22): Two cards are drawn at random what is the probability that 21. Both the Aces a) 2/221 b) 1/221 c) 4/221 d) 3/221 e) None 22.

No face card a) 105/221 b) 115/221

c) 220/221

d) 110/221

e) None

23.

What is the probability of having 53 Sundays in a non leap year? a) 1/7 b) 2/7 c) 3/7 d) 4/7 e) None

24.

What is the probability of having 53 Sundays in Leap Year? a) 1/7 b) 2/7 c) 3/7 d) 4/7 e) None

25.

In a class there are 15 boys and 10 girls. 3 students are selected at random, what is the probability that 1 girl and 2 boys are selected? a) 21/46 b) 25/117 c) 1/50 d) 4/25 e) None

26.

A number is selected at random from the set of 1 to 100, what is the probability of getting a prime number? a) 1/2 b) 1/3 c) 1/4 d) 1/5 e) None

38 Questions (27 – 30): Two persons Wife and Husband appear in an interview for two vacancies if the probabilities of their selections are ¼ and 1/6 respectively, then the probability that 27.

28.

29.

30.

31.

none of them selected a) 5/8 b) 5/12

c) 1/12

d) 1/24

e) None

Exactly one of them selected a) 1/4 b) 1/2 c) 3/4

d) 1/3

e) None

At least one of them is selected a) 1/4 b) 1/2 c) 3/4

d) 3/8

e) None

Both of them is selected a) 1/4 b) 1/2

d) 1/24

e) None

c) 3/4

The probability of solving a problem by 3 students a, b and c are ½, 1/3 and ¼ respectively. The probability that the problem will be solved is a) 1/4 b) 1/2 c) 3/4 d) 1/24 e) None

XI. Level I - MENSURATION 1.

The area of a circle is seven times that of circumference of a circle. What is the circumference (in units) of the circle? (1)616 (2) 132 (3) 88 (4) 210 (5) Cannot be determined

2.

The side of a square increased by 20%. What will be the percentage increase in its area? (1)20% (2) 4% (3) 88% (4) 44% (5) Cannot be determined

3.

If the length of a rectangle increases by 10% and the breadth decreases by 20%, find the % change in its area? (1) 10% decrease (2) 10% increase (3) 12% increase (4) 12% decrease (5) Cannot be determined

4.

A wire is bent in the form of a square, encloses an area 484m^2. If the same wire is bent in the form of a circle, what will be the area enclosed by the wire? (1) 484m^2 (2) 616m^2 (3) 144m^2 (4) 444m^2 (5) Cannot be determined

5.

A circular ground has an area equal to 616m^2. The ground consists of a small circular badminton court, whose radius is equal to half of the radius of the ground. What is the area of the portion excluding the badminton court? (1) 156m^2 (2) 462m^2 (3) 520m^2 (4) 308m^2 (5) Cannot be determined

6.

Find the area of a rectangle with diagonal 20cm and the length 16cm. (1) 168cm^2 (2) 144cm^2 (3) 172cm^2 (4) 184cm^2 (5) 192cm^2

39 7.

8.

The side of a cyclic rhombus is 9cm. Find its area? (1) 18cm^2 (2) 81cm^2 (3) 72cm^2 (4) 27cm^2

(5) Cannot be determined

The breadth of a rectangular plot is two-third of its length. If the area of a plot is 2400sq.mts, find its length? (1) 80m^2 (2) 120m^2 (3) 60m^2 (4) 40m^2 (5) Cannot be determined

Level II- MENSURATION 1.

Find perimeter of an equilateral triangle whose area is 36√3 sq. cms?

2.

Find the height of an isosceles triangle whose base is 8 cms the equal side is 5 cms?

3.

Find hypotenuse of a right angled triangle whose base and height are 12 cms and 16 cms respectively?

4.

Find the area of a triangle whose base is 20 cms and height is 19.67 cms?

5.

The average of the pair of parallel sides is 14.5 cms and the distance between two parallel sides of trapezium is 15.5 cms. Find its area?

6.

The base and height of a parallelogram are 35cms and 75 cms. Find its area?

7.

The length and breadth of a rectangle are in the ration 5:3 and its perimeter is 400 cms. Find the area of the rectangle?

8. 9.

The ratio of length and breadth of a rectangle is 7 : 6 and its area is 378 Sq.ms. Find its diagonal? Find the total cost to pave a rectangular floor of measurements 32m X 14m; if cost per square meter is 40/-?

10.

The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 7803 sq.m. What is the breadth of the rectangular plot?

11.

The diagonals of a rhombus are 15 cms and 16 cms. Find its area?

12.

Two diagonals of a rhombus are 6 cms and 8 cms. Find its perimeter?

13.

The diagonal of square is 10√2 cms. Find its perimeter?

14.

The area of a square is 32 cms. Find its diagonal?

15.

Area of a square is same as a rectangular field whose measurements are 45ms X 20 ms. Find the cost to fence around the square field it cost per meter is 360?

16.

The diameter of a circle is 7√2 cms. Find the area dn perimeter of the circle?

40 17.

The diameter of a wheel is 42 cms. How many revolutions for a wheel are required to cover a distance of 9240 cms?

18.

The perimeter of a circle is same as perimeter of square whose side is 27.5 cms. Find the area of the circle?

19.

An arc subtends an angle of 60° at center and radius of the circle is 14 cms. Find the area of sector and length of the arc?

20.

A cow is tied on one of the corners of a square grass field whose side is 30 ms. Find the area of ungrazed field if length of the rope is 14ms.?

21.

A lawn 30m long and 16m wide is surrounded by a path 2m wide. Find the area of the path?

22.

A rectangular lawn 60m X 40m has two roads each 5m wide, running in the middle of it, one parallel to length and the other is parallel to the breadth. Find the cost of gravelling them at Rs.80 per square meter?

23.

What would be the cost of building 7m wide garden around a circular field with diameter equal to 280m, if the cost per sq.m for building the garden is Rs. 21?

24.

find the diagonal of a cuboid whose dimensions are 6cm X 6cm X 3cm?

25.

The length, breadth and height of a room are 12m, 10m and 15m respectively if all four walls of the room are to be covered with 50cm wide wall paper. Find the length of the parer required?

26.

Find T.S.A of a cube whose side is 16cms?

27.

Three solid cubes whose sides are 6 cm, 8 cm and 10 cm respectively are melted to form into a single cube. Find the side of new cube formed?

28.

Find C.S.A of a cylinder whose radius of the base is 7 cm and height is 250cm?

29.

Find slant height of a cone whose base radius is 35cm and C.S.A is 880 square cms?

30.

Find the cost of canvas cloth required for conical tent whose height is 6m and radius is 8m and cost of cloth is Rs. 140 per square meter?

31.

How much metal is required to make a 20 metre long pipe, if tis inner and outer diameters are 12 metres and 16 metres respectively?

32.

How many solid spherical balls of radius 1.5cm each are required to immerse in a cylindrical jar of radius 6cm to raise the level of water in the jar by 36cm?

33.

Find T.S.A of a hemisphere whose radius is 28cm?

41 34.

The ratio of respective sides of two rectangles (or of two squares 'or' radii of two circles) is 19:17. Find the ratio of their respective areas?

35.

The ratio of areas of two squares is 256 : 169, find the ratio of their respective sides?

36.

The ratio of respective sides of two cuboids is 9 : 7. find the ratio of their respective volumes?

37.

The ratio of volumes of two cubes is 1331 : 1728. Find the ratio of their respective sides?

38.

The ratio of surface areas of two spheres is 36 : 121. Find the ratio of their respective volumes?

39.

The ratio of volumes of two cubes is 125 : 729. Find the ratio of their respective surface areas?

40.

The length of a rectangle is increased by 20% and its breadth is decreased by 30%. Find the percentage of change in its area?

41.

The side of a square ( or radius of a circle) is decreased by 20%. Find the percentage of change in its area and perimeter?

42.

The length and breadth of a cuboid are increased by 10% and 20% respectively and its height is decreased by 25%. Find % of change in its volume? The radius of a sphere is increased by 20%. Find the percentage of change its surface area and volume?

XII. MISCELLENEOUS 1.

Which of the following cannot be a perfect square of a natural number? (1)30976 (2) 28561 (3) 87025 (4) 14362 (5) 10000

2.

What is the least number which should be added to 5400 to make it a perfect square? (1)76 (2) 61 (3) 71 (4) 62 (5) 12

3.

What is the least number which should be multiplied to 540 to make it a perfect square? (1)5 (2) 15 (3) 25 (4) 12 (5) 8

4.

What is the least number which should be multiplied to 540 to make it a perfect square? (1)50 (2) 15 (3) 100 (4) 120 (5) None of these

5.

Find the least number which when divided by 15, 12 and 20, leaves remainder 3 in each case? (1)123 (2) 15 (3) 103 (4) 33 (5) 63

6.

Four bells ring at intervals of 12 seconds, 15 seconds, 30 seconds and 40 seconds respectively. If they ring together at 9:00A.M, at what time will they ring together for the first time after 9:00A.M? (1)11:00A.M (2) 9:00P.M (3) 9:02A.M (4)9:01A.M (5)9:20A.M

42 34.

7. Income of a certain company doubles every year. If investment is Rs 4Lakhs, what would be the income after 5 years? (1)Rs 1.20crores (2) Rs 64lakhs (3) Rs 1.27crores (4) Rs 1.28lakhs (5) None of these

8.

A man has some hens and cows. If the number of heads is 50 and the number of legs is 130, find the total number of hens? (1)35 (2) 15 (3) 10 (4) 30 (5) 25

9.

A total of 400 coins of 20paise and 25paise make a sum of Rs 92/-. Find the number of 20paise coins. (1)200 (2) 160 (3) 240 (4) 300 (5) 250

10.

The total monthly salary of 4 men and 2 women is Rs 46000/-. If a woman earns Rs 500/- more than a man, what is the monthly salary of a man? (1) Rs 6500/(2) Rs 7500/(3) Rs 8000/(4) Rs 8500/(5) Rs 9000/-

43

Level I- DATA INTERPRETATION Directions (Q.NO: 1 – 5) :- The table shows the number of employees Joined (J) and Left (L) as on 1st of January each year in four companies over the years.

1.

What was the strength of company B in January 2008? (1)158 (2) 192 (3) 205 (4)188

(5) None of these

2.

What is the strength of all the companies together in September 2006? (1)578 (2) 622 (3) 647 (4)714 (5) None of these

3.

What is the percentage change in the number of employees of company D over the years? (1)40% (2) 45% (3) 35% (4)20% (5) 25%

4.

What is the ratio of the number of employees in company A in 2009 and the number of employees in company B in 2009? (1)11 : 13 (2) 207 : 214 (3) 17 : 23 (4) 1 : 2 (5) None of these

5.

Which company has the least number of employees in 2009? (1)A (2) B (3) C (4) D

(5) None of these

Directions (Q.NO: 6 – 10) :- The pie chart shows the budget estimated by a family for their monthly expenses for different

44 6.

What is the budget estimated by the family for heads B and F together? (1)Rs 15000/(2) Rs 20000/(3) Rs 16000/(4) Rs 18500/(5) None of these

7.

Due to unforeseen reasons, the family incurs Rs 3080/- expenditure on item G. By how many rupees is this expenditure more than the planned expenditure? (1)Rs 15000/(2) Rs 20000/(3) Rs 16000/(4) Rs 18500/(5) None of these

8.

The family spent Rs 800/- less on head E than budgeted. The new expenditure on item E is equal to the expenditure of which of the following heads? (1)A (2) B (3) C (4) F (5) G

9.

If there is no expenditure on item D in the month of June, how much money will the family save? (1)Rs 6000/(2) Rs 7800/(3) Rs 8000/(4) Rs 7600/(5) None of these

10.

If another pie-chart is drawn for the expenditure of the family on different heads, keeping all the expenses same, then what would be the angle at the centre of head A? (1) 35° (2)36° (3) 20° (4)50° (5)72 ° Directions (Q.NO: 11 – 15) :- Study the following pie-chart and table and answer the questions that follow. The pie chart shows the percentage of employees in various departments of an organization.

45 11.

What is the ratio of male employees in Process Control department to female employees in the Accounts department? (1)1 : 1 (2) 2 : 3 (3) 4 : 5 (4) 1 : 4 (5) None of these

12.

What is the difference in the number of employees from the department having the highest and the department having the least number of employees? (1)250 (2) 380 (3) 384 (4) 526 (5) None of these

13.

How many female employees are there in the Process Control department? (1)384 (2) 288 (3) 336 (4) 160 (5) None of these

14.

The number of female employees in Accounts department account for what percent of the total number of employees in that department? (1)55% (2) 45% (3) 35.25% (4)62.50% (5) 25%

15.

If a pie-chart is drawn, what will be the angle at the centre for the employees in the marketing department? (1) 35° (2)36° (3) 54° (4)50° (5)72 °

16.

Pradeep wants to travel a distance of 16 km. He starts his journey by type A vehicle and after completing a distance of 3 km, changes the vehicle to type C. What is his fare for the entire journey? (1)Rs 80.25/(2) Rs 84.50/(3) Rs 57.75/(4) Rs 79.00/(5) None of these

17.

Arjun wants to travel a distance 19 km. He starts travelling with type A vehicle and completes the journey. How much will he have to pay in excess if he decides to travel with type C vehicle? (1)Rs 70.25/(2) Rs 68.75/(3) Rs 62.50/(4) Rs 80.00/(5) None of these

18.

Kiran wants to travel a distance of 21 km. He decides to travel equal distance by all the three types of vehicles. He starts his journey by type C vehicle. How much money will he be spending on whole? (1)Rs 103.00/(2) Rs 111.50/(3) Rs 99.80/(4) Data inadequate (5) None of these

19.

Anjali travels 10 km by type B vehicle and Madhu travels 14 km by type C vehicle. What is the total amount spent as fare by Anjali and Madhu? (1)Rs 100.00/(2) Rs 210.00/(3) Rs 118.00/(4) Rs 114.00/(5) None of these

20.

Swetha went to her office 15 km away by type B vehicle. She came back by type A vehicle. What was the amount spent by her on that day as fare? (1)Rs 100.00/(2) Rs 95.00/(3) Rs 93.50/(4) Rs 111.00/(5) None of these

46

21.

If the expenditure of company B in 2000 was Rs 200crores, what was its income? (1)Rs 240crores (2) Rs 220crores (3) Rs 160crores (4) cannot be determined (5) None of these

22.

If the income of company A in 2002 was Rs 600crores, what was its expenditure? (1)Rs 360crores (2) Rs 480crores (3) Rs 375crores (4) cannot be determined (5) None of these

23.

If the income of company B in 1998 was Rs 200crores, what was its profit? (1)Rs 21.5crores (2) Rs 153crores (3) Rs 46.15crores (4) cannot be determined (5) None of these

24.

If the income of two companies in the year 1998 were equal, what was the ratio of their expenditure? (1)1 : 2 (2) 26 : 27 (3) 100 : 67 (4) cannot be determined (5) None of these

25.

What is the percentage increase in the profit percent of company B from the year 2000 to 2001? (1)75% (2) 45% (3) 35.25% (4) cannot be determined (5) None of these

47

Level I - DATA SUFFICIENCY Directions (1-21): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the question and both the statements and Give answer (1) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question . Give answer (2) if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question Give answer (3) if the data in statement I or in statement II alone are sufficient to answer the question. Give answer (4) if the data in even in both the statements I and II together are not sufficient to answer the question Give answer (5) if the data in both the statements I and II together are necessary to answer the question. 1.

What is the two digit number where the digit at the unit place is smaller? I. The difference between the two digits is 5. II. The sum of the two digits is 7.

2.

What is the two digit number? I. The difference between the digits of the number is 9. II. The sum of the digits of the number is 9.

3.

What is the value of the two digit number? I. The product of the digits is 72 and the difference between the digits is 1. II. The digit at the unit's place is greater than the other.

4.

What is the number? I. 75% of that number is three fourth of that number. II. One-third of that number is less by 27 of the half of that number.

5.

What is the two digit number? I. Sum of the digits is 6. II. Digit in the ten's place is double the digit in the unit's place.

6.

What is the age of C, in a group A, B, C, D and E whose average age is 45 Years? I. Average of the ages of A and B is 53 Years. II. Average of the ages of D and E is 47 Years.

7.

What is Sreya's Age? I. Sreya is two times younger than Akhila.

II. Akhila is twice the age of Nisha.

48 8.

What is the mother's present age? I. The product of the digits is 72 and the difference between the digits is 1. II. The digit at the unit's place is greater than the other.

9.

What is the mother's present age? I. Present ages of mother and child are in the ratio of 5 : 1 respectively. II. Four years hence the ratio of the ages of mother and child will be 17.5 respectively.

10.

What is the profit earned by selling a mobile of Rs. 26,250? I. The cost price of 5 such mobiles is equal to selling price of 4 units. II. 25% of profits is earned by selling each mobile.

11.

What was the total compound interest on a sum after three years? I. The interest after one year was Rs. 100/- and the sum was Rs. 1,000/II. The difference between the simple and compound interest on a sum of Rs. 1,000/- at the end of the two years was Rs. 10/-

12.

What is the rate of interest p.c.p.a on an amount of Rs. 12,000 deposited at the bank? I. The difference between the simple interest and compound interest is Rs. 172.80. II. The simple interest for two years is Rs. 2,880.

13.

How many women can complete a piece of work in 15 days? I. If 12 women can complete the same piece of work in 20 days. II. If 10 men can complete the same piece of work in 12 days.

14.

In how many days can 10 men do a work? I. 12 women can do the work in 16 days. II. 4 men and 6 women together can do the work in 16 days.

15.

Train 'A' running at a certain speed crosses another train 'B' running at a certain speed in the opposite direction in 12 seconds. What is the length of train 'B'? I. The length of both the trains together is 40 meters. II. Train 'A' is slower than train 'B'.

16.

What is the speed of the car? I. The car covers a distance of 135 Kms. in 3 hours. II. The car covers a distance of 270 Kms. in 6 hours.

17.

What is the speed of the boat in still water? I. It takes 2 hours to cover distance between A and B down streams. II. It takes 4 hours to cover distance between A and B up streams.

18.

What is the speed of boat in still water? I. The boat takes 4 hours to go 12 km downstream. II. The boat take 6 hours to cover 12 km in still water.

49 8.

19. Area of rectangle is equal to the area of a right angle triangle. What is the length of the rectangle? I. The base of the triangle is 40 Cms. II. The height of the triangle is 50 Cms.

20.

What is the area of the Square? I. The side of the square is 21cm long. II. The perimeter of the square is 84cm.

Directions (Q. 21-24): In each of the following questions, a question is followed by information given in three statements, a question is followed by the information given in three statements. You have to study the question along with the statements and decide, the information given in which the statement(s) is necessary to answer the question. 21.

In how many days can 16 men and 8 women together complete the piece of the work? I. 8 men complete the piece of work in 10 days. II. 16 women complete the piece of work in 10 days. III. 5 women take 32 days to complete the piece of work. a) Only I and II b) Only I and III c) Only II and III d) Only I and either II or III e) Any two of the three.

22.

What is the speed of the train? I. Train crosses a pole in 10 seconds. II. Length of the train is 240 meters. III. Train crosses a platform of equal length in 20 seconds. a) Only I and II b) All of the three c) Only II and III e) Any two of the three.

23.

24.

d) II and either I or II

What is the area of the square? I. Measure of the diagonal of the square is given. II. 16 women complete the piece of work in 10 days. III. 5 women take 32 days to complete the piece of work. a) Only I and II b) Only I and III c) Only II and III d) Only I and either II or III e) Any two of the three. What is the rate of interest per annum? I. Simple interest earned per annum is Rs. 5,330. II. The difference between the compound and simple interest on an amount is Rs. 1,060 at the end of 2 years. III. An amount doubles itself in 5 years with simple interest. a) All the three b) Only III c) Either II or III d) Only III or I and II e) Questions cannot be answered even with the information in all three statements

50

Level II - DATA SUFFICIENCY Directions (1-5): These questions are based on the following data. Study it carefully and answer the questions that follow.

Three tenths of the total number of products are Refrigerators. The number of Mobile Phones manufactured is 40 more than the number of Televisions. 22 per cent of the total number of products is Oven and the remaining number of products is Water Heaters.

In a school having 400 Students, boys and girls are in the ratio of 3:5. The students speak Hindi, English or both the languages. 12% of the girls speak only English. 24% of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi.

6.

What is the total number of Refrigerations and Water Heaters 1) 436 2) 476 3) 576 4) 536 5) None of these

1.

How many boys speak Hindi? 1) 18 2) 126 3) 108 4) 26 5) None of these

7.

2.

How many girls speak only Hindi? 1) 55 2) 117 3) 96 4) 78 5) None of these

The number of Mobile Phones is approximately what per cent of the number of Television? 1) 115 2) 140 3) 135 4) 130 5) None of these

3.

How many students speak English? 1) 304 2) 79 3) 225 4) 117 5) None of these

8. If the cost of one Oven is Rs. 8,200, what is the cost of all the Ovens manufactured by the company? 1) Rs. 2,16,480/2) Rs. 21,68,400/3) Rs. 2,16,84,000/- 4) Rs. 2,16,840/5) None of these

4.

The number of girls speaking only Hind is what per cent of the total number of students speaking only Hindi? 1) 38.2% 2) 71.8% 3) 31.2% 4) 78% 5) None of these

9. What is the difference between of number of Refrigerators and the number of Mobile Phones manufactured? 1) 160 2) 140 3) 120 4) 130 5) None of these

4.

What is the ratio of the number of boys to the number of girls speaking both the language? 1) 23:25 2) 12:25 3) 12:13 4) 25:13 5) None of these

10. If 25 per cent of the number of Ovens are defectivek, what is the number of nondefective Ovens? 1) 176 2) 188 3) 198 4) 186 5) None of these

Directions (6-10) : Study the information carefully to answer the questions that follows : A Company produces five different p r o d u c t s , v i z Te l e v i s i o n , Refrigerator, Mobile Phone, Oven and Water Heater. The total number of all the five products manufactured is 1200. 15 percent of the total number of products are Televisions.

Directions (11-15) : Study the following information carefully to answer these questions. An institute having 450 employees has sent all its employees for training in one or more areas out of HRM, Computer Skills and Financial Skills. The employees are classified into two

51 categores Officers and Clerks, who are in the ratio of officers and Clerks, who are in the ratio of 4:5 10% of the Officers take training only in Computer Skills, 16% of the clerks take training only in HRM which is equal to the number of officers taking training only in Financial Skills and 40% of the number of Officers taking training in HRM and Financial Skills both. 6% of the total employees take training in all the three, of which two-thirds are officers. 10% of the total employees take training in HRM and Computer Skills both. The number of officers taking training only in HRM is 25% of the number of Clerks taking training only in HRM. 20% of the total number of employees take training only in Computer Skills. Number of clearks taking t r a i n i n g i n HRM and Financial skills both is 20% of the total number of Clerks. 11. To t a l h o w m a n y o f f i c e r s t a k e training in HRM? 1) 110 2) 128 3) 118 4) 98 5) None of these 12. Total how many Clerks take training in Computer Skills but not in HRM? 1) 113 2) 104 3) 88 4) 79 5) None of these 13. Total how many employees take training in Financial Skills but not in HRM? 1) 106 2) 135 3) 127 4) 134 5) None of these 14. Total how many Clerks take training in Financial Skills? 1) 115 2) 106 3) 47 4) 97 5) None of these 15. What per cent of the total number of Officers take training in Computer Skills but not in Financial Skills? 1) 25 2) 40 3) 20 4) 15 5) None of these

Directions (16-20): Study the following piechart carefully to answer these questions : Total number of passengers in six different trains = 4800 percentage-wise distribution of passengers

16.

what was the average number of passenger travelling in Train A, Train C and Train F together? 1) 816 2) 826 3) 824 4) 812 5) None of these

17. If the cost of one ticket is Rs. 124, what is the total amount paid by passengers of Train B? (Assuming all the passengers purchased tickets and cost of each ticket is equal) 1) Rs. 53,658 2) Rs. 53,568 3) Rs. 53,558 4) Rs. 53,468 5) None of these 18. The Number of passengers in Train E is approximately what percentage of the total number of passengers in Train B and Train D together ? 1) 63 2) 69 3) 75 4) 54 5) 79 19. What is the difference between the number of passengers in Train C and the number of passengers in Train A? 1) 280 2) 250 3) 230 4) 260 5) None of these 20. What is the total number of passengers in Train D, Train E and Train F together ? 1) 2796 2) 3225 3) 2976 4) 3125 5) None of these

52 Directions (21-25) : Study the pie-chart carefully to answer the following question. Percentage of students enrolled in different a c t i v i t i e s i n a s c h o o l .

25. What is the ratio of the number of girls enrolled in Swimming to the number of boy’s enrolled in Swimming? 1) 47:49 2) 23:29 3) 29:23 4) 49:47 5) None of these

Total Number of Students = 3000 Directions (26-30) : Survey conducted on 1050 people to fine out various Professionals in the town and percentage of Female Professionals among them Various Professionals = 10500

Percentage break - up of girls enrolled in these activities out of the total students Total Number of girls = 1750 Percentage of Female Professionals

21.

What is the approximate percentage of boys in the school? 1) 34 2) 56 3) 28 4) 50 5) 42

22.

How many boys are enrolled in Singing and Craft together? 1) 505 2) 610 3) 485 4) 420 5) None of these

23.

What is the total number of girls enrolled in Swimming and Drawing together? 1) 480 2) 525 3) 505 4) 495 5) None of these

24.

The Number of girls enrolled in Dancing form what per cent of the total number of students in the school? (round off to two digits after decimal) 1) 12:35 2) 14:12 3) 11:67 4) 10:08 5) None of these

26.

What is the ratio of the male Engineers and Designers to the same-occupation female professionals in the town? 1) 41:44 2) 55:53 3) 31:35 4) 44:35 5) None of these

27.

The total number of Lawyers in town is approximately what per cent of the total number of Doctors in the town? 1) 95 2) 98 3) 90 4) 85 5) 81

28.

What is the difference between the total number of male and female professionals in the town? 1) 1284 2) 1134 3) 1054 4) 1164 5) None of these

53 29.

Female Doctors are what per cent of the female Teachers in the town? 1) 42 2) 28 3) 15 4) 35 5) None of these

30.

What is the ratio of the number of male Architects to the number of male Teachers in the town? 1) 11:5 2) 3:2 3) 5:11 4) 2:3 5) None of these

Directions (31-35) : Study the following piechart and bar diagram and answer the following statements. Percentage - wise distribution of Students in six different schools 31.

What is the sum of the number of girls in School C, the number of girls in School E and the number of boys in School D together ? 1) 1700 2) 1900 3) 1600 4) 1800 5) None of these

32.

What is the ratio of the number of boys in School C, the number of girls in school B and the total number of Students in School E? 1) 45:7:97 2) 43:9:97 3) 45:7:87 4) 43:9:87 5) None of these

33. total the

What is the difference between the number of students in School F and number of boys in School E? 1) 820 2) 860 3) 880 4) 900 5) None of these

34.

In which of the following schools is the total number of students equal to the number of girls in Schools E? 1) A 2) B 3) C 4) D 5) F

35.

The number of girls in School A is approximately what percentage of the total number of students in School B? 1) 55 2) 50 3) 35 4) 45 5) 40

54

Level III - DATA SUFFICIENCY Directions (1-5): Study the radar graph carefully Directions (6-10): Study the following and answer the questions that follow Monthly information carefully and answer the salary (in thousands) of five different persons in following questions: three different years. The following three dimensiona graph (triangular bar diagram) shows the percentage of students passed XII class in 1st division, 2nd division or 3rd division. The students belong to three schools DAV, DPS and VKP. The number of students in DAV, DPS and VKP are 500, 750 and 470 respectively. Refer to the diagram to answer the questions the follow. 1. What was the average monthly salary of sumit in the year 2008, Anil in the year 2009 and Jyoti in the year 2010 together? 1) Rs. 20000 2) Rs.25000 3) Rs. 45000 4) Rs.15000 2.

Total Monthly salary of Arvind in all the years together was what percent of the total monthly salary of all the five persons together in the year 2008? 1) 55 2) 60 3) 75 4) 70 5) None of these

6.

The total number of students passing in 1st division from the three given schools is 1) 571 2) 666 3) 592 4) 630 5) None of these The total number of students passing in 3rd division from the three given schools is 1) 560 2) 575 3) 520 4) 540 5) None of these

3.

Among the five persons whose earning per month over all the years together is second lowest? 1) Sumit 2) Anil 3) Jyoti 4) Arvind 5) Poonam

7.

4.

What was the percent decrease in monthly salary of Poonam in the year 2009 as compared to her monthly salary in previous year? 1) 40 2) 10 3) 20 4) 80 5) None of these

8. The total number of students passing in 2nd division forms what percentage of the total students in standard XII in the three schools? 1) 33% 2) 31% 3) 29% 4) 27% 5) None of these

5.

If Jyotis monthly salary in the year 2010 was increased by 30 percent then what would be her monthly salary in that year? 1) Rs. 36000 2) Rs. 39000 3) Rs. 45000 4) Rs. 42000 5) None of these

9. The total number of students passing in 2nd division from D.P.S bears to the total number of students passing in 3rd division from V.K.P., a ratio of 1) 5:6 2) 2:5 3) 3:2 4) 7:11 5) None of these

55 10.

What is the difference between the number of students passing in 3rd division and the number of students passing in 2nd division from DAV? 1) 295 2) 280 3) 375 4) 350 5) None of these

10. What is the difference between the number of students passing in 3rd division and the number of students passing in 2nd division from DAV? 1) 295 2) 280 3) 375 4) 350 5) None of these Directions (11-15): These questions are based on the following diagram.

13.

If in the next year the circulation of the times of India in locality D increases by 20% and the times in the same locality increase by 30% and 40% respectively, then what will be the total circulation of these three papers in locality D? 1) 7214 2) 8128 3) 9128 4) 9620 5) None of these

14.

What is the total circulation of the Hindu in the given five localities.? 1) 9450 2) 8762 3) 9220 4) 9648 5) None of these

15.

By approximately what percentage is the total circulation of The Times of India in the five localities, more/less than that of The Hindusthan Times? 1) 21% 2) 20% 3) 24% 4) 16% 5) 10%

Directions (16-20): Study the following graph carefully and then answer the questions based on it. The percentage of five different types of cars produced by the company during two years is given below.

The graph gives the distribution of circulation of the three newspapers - The times of India, The Hindu and The Hindustan Times in five localities - A, B, C,D and E of a city. The bar graph shows the total circulation of these three newspapers in these localities.

16.

What was the difference in the production of C type cars between 1996 and 1997? 1) 5000 2) 7500 3) 10000 4) 2500 5) None of these

17.

If 85% of E type cars produced during 1996 and 1997 are being sold by the company, then how many E type cars are left unsold by the company? 1) 142800 2) 21825 3) 29100 4) 25200 5) None of these

11. In how many localities does the hindusthan times have a circulation more than 1500 ? 1) 1 2) 2 3) 3 4) 4 5) 5 12.

What is the ratio of the circulation of the times of India in location in localities C and D together to that of the Hindu in localities C and E together? 1) 2:5 2) 5:2 3) 3:5 4) 5:3 5) None of these

56 18.

If the number of A type cars manufactured in 1997 was the same as that of 1996, what would have been its approximate percentage share in the total production of 1997? 1) 11 2) 13 3) 15 4) 9 5) None of these

19.

In the case fo which of the following types of cars was the percentage increase from 1996 to 1997 the maximum? 1) A 2) E 3) D 4) B 5) C

20.

It the percentage production of B type cars in 1997 was the same as that of 1996, what would have been the number of cars produced in 1997? 1) 112500 2) 120000 3) 130000 4) Data inadequale 5) None of these

Directions (21-25): Study the radar graph carefully and answer the questions that follow : Number of students (in thousands) in two different universities in six different years Number of Students.

21.

What is the difference between the number of students in university-1 in the year 2010 and the number of students in university - in the year 2012? 1) Zero 2) 5000 3) 15000 4) 100000 5) 1000

22.

What is the sum of the number of students in University-1 in the year 2007 and the number of students in university-2 in the year 2011 together.? 1) 50000 2) 55000 3) 45000 4) 57000 5) 40000

23.

It 25% of the students in university-2 in the year 2010 were females, what was the number of male students in the university-2 in the same you? 1) 11250 2) 12350 3) 12500 4) 11500 5) 11750

24.

What was the percent increase in the number of students in university-1 in the year 2011 as compared to the previous year? 1) 135 2) 15 3) 115 4) 25 5) 35

25.

In which year was the difference between the number of students in the university-1 and the number of students in university-2 highest? 1) 2008 2) 2009 3) 2010 4) 2011 5) 2012

Reasoning

58

LOGICAL DEDUCTIONS / SYLLOGISM Directions: In each question below, some statements are given which are followed by some conclusions. You have to take the given statements to be true, even if they seem to be at variance from the commonly known facts, and then decide which of the conclusion(s) logically follow(s) from the given statements, disregarding commonly known facts. 1. Statements: All A's are B's. All B's are C's. Conclusions: I. All A's are C's. II. All C's are A's. III. Some B's are A's. IV. Some B's are not A's. (1) Only I and IV follow (2) Only III and IV follow (3) Only I and III follow (4) All follow (5) None of these 2. Statements:

All teachers are men. All men are illiterate. Conclusions: I. All teachers are illiterate. II. Some illiterate men are teachers. III. Some literate are men. IV. All teachers are not men. (1) Only I follows (2) Only I and II follow (3) Only I, II and III follow (4) Only I, III and IV follow (5) None of these

3. Statements:

Conclusions:

(1) Only I follows (4) All follow

All males are children. All children are females. No female is tall. I. All males are females. II. Some females are males. III. No male is tall. (2) Only II follows (5) None of these

(3) Only II and III follow

4. Statements:

Ravi is tall. No tall person is fair. All fair people are short. Conclusions: I. Ravi is not fair. II. All the short people are fair. III. Ravi is dark. (1) Only I follows (2) Only III follows (4) Only II and III follow (5) None follows

(3) Only II follows

59 5. Statements:

All Aamirs are Shahrukhs. All Shahrukhs are Salmans. Some Salmans are Anils. Conclusions: I. Some Aamirs are Salmans. II. Some Salmans are Aamirs. III. Some Shahrukhs are Anils. (1) Only III follows (2) Only I follows (4) Both II and III follow (5) None of these

All dogs are cats. All cats are mice. All mice are pigs. Conclusions: I. All dogs are mice. II. Some mice are dogs. III. All pigs are cats. (1) Both I and II follow (2) Only I follows (4) Only II and III follow (5) None of these

(3) Only II follows

6. Statements:

(3) Only III follows

7. Statements:

All teachers are tax payers. All tax payers are good. Some actors do not pay the tax. Conclusions: I. All teachers are good. II. All good people are tax payers. III. Some teachers are actors. IV. No teacher is an actor. (1) Only I follows (2) Only III and IV follow (4) Only I and either III or IV follow (5) None of these

8. Statements:

Conclusions:

(1) Only I follows (5) None of these

(3) Only IV follows

All rankers are intelligent. All intelligent people are smart. Some intelligent are dark. I. All rankers are smart. II. Some smart people are rankers. III. Some smart are dark. IV. Some rankers are smart. (2) Only II follows

(3) Only I, II and IV follow (4) All follow

60 9. Statements: Conclusions:

(1) Only I follows (4) Only II follows 10. Statements: Conclusions: (1) Only I follows (4) None follows

All birds are dogs. All dogs bark. I. Some barking things are birds. II. Some birds bark. III. All birds bark. (2) Only II and III follow (5) None of these All mothers are good. Some fathers are good. I. Some fathers are mothers. II. Some mothers are fathers. (2) Only II follows (5) None of these

(3) Only III follows

(3) Both follow

DIRECTION SENSE Ram walks 4 km towards west, then turns to his right to travel 9 km. He turns towards east and travels 12 km. Finally he travels 3 km towards south. How far is he from initial position (in km)? 15 (2) 23 (3) 18 (4) 10 (5) 28 Laxman travels 7 km towards south and then 5 km towards his west. He further travels 5 km towards south. How far is he from starting point (in km)? 13 (2) 9 (3) √149 (4) √119 (5) 22 Rajesh travelled 500 m from his house towards north. Then he took left turn and travelled 80 m, then 260 m towards his left and again 400 m towards his left. How far is he from the starting point? 400m (2) 100m (3) 200m (4) 300m (5) 250m Sachin travels 16 km towards west and from there he travels 8 km towards east. Now, he goes 4 km towards north. In which direction is he with respect to the starting point? (1) North-West (2) West (3) South-East (4) North (5) None of these After travelling 8 km, I turned right and travelled 3 km, then turned right and covered a distance of 2 km. Now if I am moving towards west, in which direction did I start my journey? (1) North (2) South (3) East (4) West (5) North-East From her house, Sneha travels 8 km towards south. She then turns right and travels 12 km. She again travels 8 km towards left. How far is she from her house (in km)? (1) 25 (2) 20 (3) >30 (4) ≥40 (5) Cannot be determined

61 Kiran travelled a distance of 60m towards south. Now he turns right and travels 45m. He then travels 30m towards north and further travels by turning 45° in clockwise direction. In which direction is he travelling now? (1) East (2) South-West (3) North-East (4) North (5) None of these Vamsi, who is facing north, turns 90° in clockwise and then 135° in anticlockwise direction. Which direction is he facing now? (1) North-east (2) North-West (3) South-East (4) South-West (5) North One morning Ram and shyam were talking, facing each other. It is observed that Ram's shadow fell towards his left. In which direction was Shyam facing? (1) East (2) South (3) North-East (4) North (5) West When a watch shows 7:45, the minute hand points towards east. When the watch shows 3'Oclock, which direction does the hour hand point? (1) North (2) East (3) West (4) South (5) North-West

62

III. BLOOD RELATIONS 1.

How is my father's mother's only daughter-in-law's sister related to me? (1) Aunt (2) Sister (3) Cousin (4) Niece (5) Mother

2.

How is my grandmother's only child's husband's mother related to me? (1) Mother (2) Grandmother (3) Aunt (4) Sister (5) Cousin

3.

How is Ramu's mother-in-law's only daughter's son related to Ramu? (1) Nephew (2) Brother (3) Son (4) Uncle (5) Father

4.

How is Ravi's mother's father's son related to Ravi's father? (1) Cousin (2) Uncle (3) Brother-in-law (4) Son-in-law (5) Mother

5.

Divya's father, pointing towards a person, said “he is the brother of my father's only sibling”. How is the person related to Divya? (1) Father (2) Uncle (3) Brother (4) Grandfather (5) Nephew

6.

My father's only brother's wife's only daughter's paternal uncle is my mother's (1) Father-in-law (2) Husband (3) Son (4) Uncle (5) Father

7.

A person who is the husband of my son's sister is my (1) Nephew (2) Son-in-law (4) Brother (5) Father

8.

How is my son's son's mother's daughter related to me? (1) Niece (2) Granddaughter (4) Aunt (5) Mother

(3) Son

(3) Daughter

9.

How is my father's brother's only sibling's mother related to me? (1) Mother (2) Cousin (3) Daughter (4) Aunt (5) Grandmother

10.

My mother's sister's son's father's mother-in-law is related to me as (1) Mother (2) Grandmother (3) Mother-in-law (4) Aunt (5) Sister

63

IV. NUMBER, LETTER AND WORD ANALOGIES Directions: Select the correct alternative from the given choices. 1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

196 : 256 :: 324 : _____ (1) 361 (2) 400 (3) 411

(4) 484

13 : 2197 :: 16 : _____ (1) 256 (2) 2744 (3) 4096

(5) 529

(4) 3378

(5) 3375

6 : 222 :: 9 : _____ (1) 738 (2) 767 (3) 729

(4) 744

(5) 776

5 : 120 :: 8 : _____ (1) 520 (2) 504 (3) 448

(4) 512

(5) 542

105 : 150 :: 39 : _____ (1) 68 (2) 64 (3) 60

(4) 72

(5) 74

11 : 24 :: 37 : _____ (1) 68 (2) 92 (3) 74

(4) 84

(5) 78

512 : 504 :: 1728 : _____ (1) 1728 (2) 1716 (3) 1718 4 : 256 :: 5 : _____ (1) 625 (2) 1025

(3) 525

4 : 256 :: 5 : _____ (1) 1225 (2) 125

(3) 2525

(4) 1724

(4) 875

BAD : BBL :: JDFE : _____ (1) JHRI (2) JHPX (3) JFTV

(5) 81

(4) DIELS

(4) JHRT

EDMN : DENM :: IRNT : _____ (1) HSOS (2) HSQR (3) HPRS

6P1 : 5Y2 :: 6J3 : _____ (1) 6L4 (2) 9K4 (3) 9W4

(5) 946

(4) 3125

DATE : ECWI :: CHAIN : _____ (1) DJDMS (2) DJELR (3) DIFMS

12L : 24X :: 5E : _____ (1) 21U (2) 19S (3) 10J

(5) 1824

(5) JFPT

(4) HIPX

(4) 20T

(4) 4L6

(5) DKFRM

(5) HSTR

(5) 18R

(5) 8I1

64 15.

16.

17.

18.

19.

A26 : E22 :: I18 : _____ (1) 15L (2) 12O (3) O12 Train : Track :: Bus : _____ (1) Driver (2) Conductor Pig : Piglet :: Dog : _____ (1) Cat (2) Tail (3) Pug

(4) U6

(5) R9

(3) Petrol

(4) Canine

(4) Passengers

(5) Puppy

Day : Night :: Spendthrift : _____ (1) Rich (2) Miser (3) Poor (4) Pauper Hand : Fingers :: Leg : _____ (1) Knuckles (2) Knee (3) Toes

(4) Heel

(5) Money

(5) Walk

(5) Road

65

IV. ODD ONE OUT Directions: Find the odd one out

1.

(1) 16

(2) 28

(3) 36

(4) 64

(5) 4

2.

(1) 41

(2) 43

(3) 53

(4) 57

(5) 47

3.

(1) 8

(2) 27

(3) 64

(4) 125

(5) 343

4.

(1) 343

(2) 121

(3) 1331

(4) 2197

(5) 125

5.

(1) 4422

(2) 2442

(3) 4242

(4) 2244

(5) 4224

6.

(1) 2/22

(2) 5/55

(3) 1/1

(4) 3/333

(5) 4/4444

7.

(1) 20

(2) 42

(3) 58

(4) 72

(5)90

8.

(1) 30

(2) 630

(3) 10

(4) 520

(5)130

9.

(1) 525

(2) 39

(3) 24

(4) 426

(5) 636

10.

(1) 11

(2) 28

(3) 327

(4) 416

(5) 5125

11.

(1) A

(2) R

(3) E

(4) I

(5) O

12.

(1) ABB

(2) BCC

(3) CCCDDDD

(4) DDDDEEEEE

(5) BBCCC

13.

(1) KMNL

(2) PRSQ

(3) VWYZ

(4) JLMK

(5) WYZX

14.

(1) 1P6

(2) 2Y4

(3) 2T0

(4) 1R8

(5) 1M3

15.

(1) B4

(2) E25

(3) D16

(4) I91

(5) F36

16.

(1) Skin

(2) Eye

(3) Leg

(4) Nose

(5) Ear

17.

(1) Lungs

(2) Eyes

(3) Fingers

(4) Ears

(5) Kidneys

18.

(1) Indian

(2) Japanian

(3) American

(4) Brazilian

(5) Russian

19.

(1) Daughter-in-law (2) Mother

(3) Sister

(4) Daughter

(5) Niece

20.

(1) Deal

(3) Zeal

(4) Meal

(5) Real

(2) Seal

66

VII. CODING AND DECODING Directions for questions 1 to 5: For the words given in column I, the codes are given in column II. Answer the following questions by finding the codes for the letters from the words and their codes given in the columns.

1.

2.

3.

4.

5.

What is the code for the word PROTECT ? (1) 3895479 (2) 3846978 (3) 3819479

(4) 3814978

(5) 3849469

What is the code for the word HORMONE ? (1) &385364 (2) &176561 (3) &175184

(4) &185164

(5) 1734289

What is the code for the word EMPEROR ? (1) 5495717 (2) 4534818 (3) 3453919

(4) 4537178

(5) 5481387

What is the code for the word DETHRONE ? (1) 049&7264 (2) 049&8164 (3) 059&7164

(4) 059&8164

(5) 43&90689

What is the code for the word COMPOUND ? (1) 71531*60 (2) 72532*80 (3) 91531*70

(4) 72542*60

(5) 725232*8

Directions for questions 6 to 10: For the following sentences given in column I, the codes are given in column II. Answer the following questions by finding the codes for the words and their codes from the given columns.

6.

7.

8.

What is the code for the word 'Tagore' in that language? (1) kak (2) dad (3) lal What is the code for the word 'not' in that language? (1) cac (2) hah (3) tat

(4) zaz

What is the code for “No god is a person” in that language? (1) mam gag nan cac (2) pap gag nan mam tat (4) xax mam gag nan pap (5) cannot be determined

(4) nan

(5) mam

(5) cannot be determined

(3)lal mam gag cac tat

67 9.

Which of the following can be the code for “Tagore make great paintings” in that language? (1) dad sas lal cac (2) lal kak zaz waw (3)qaq lal gag sas (4) lal dad sas vav (5) hah lal dad gag

10.

If the code for “Mahima is not a person” is “nan xax mam yay cac”, then what is the code for “Mahima make all people happy”? (1) xax yah cac tat sas (2) faf yay sas cac tat (3)hah yay faf tat sas (4) tat xax yay tat sas (5) cannot be determined

VIII. CLOCKS 1.

What is the angle covered by the minute hand in 25 minutes? (1) 125° (2)140° (3) 150° (4)100°

(5) 160°

2.

What is the angle between the two hands of a clock when the time is 7:30? (1)30° (2)40° (3) 50° (4)45° (5) 60°

3.

What is the angle between the two hands of a clock when the time is 20 minutes past 11 O'clock? (1)125° (2)140° (3) 150° (4)100° (5) 160°

4.

If the time in a clock is 10 hours 40 minutes, then what time does its mirror image show? (1) 1 hour 40 minutes (2) 1 hour 20 minutes (3) 2 hours 40 minutes (4) 1 hour 10 minutes (5) 2 hours 20 minutes

5.

If the reflection of a wall clock in a mirror shows the time as 3 hours 40 minutes, what is the actual time? (1) 8 hour 40 minutes (2) 9 hour 20 minutes (3) 9 hours 40 minutes (4) 8 hours 10 minutes (5) 8 hours 20 minutes

6.

What is the angle between the two hands of a clock when the time is 3:15? (1)0° (2)10° (3) 15° (4)5° (5)7.5 °

7.

At what time between 9 and 10 O'clock, will both the hands of a clock coincide?

8.

At what time between 3 and 4 O'clock, will both the hands of a clock coincide?

9.

In a day, how many times will two hands of a clock coincide? 1)24 (2)22 (3) 11 (4)12 (5) 20

10. A clock strikes once at 1 O'clock, twice at 2 O'clock, thrice at 3 O'clock and so on. If it takes 10 seconds to strike at 6 O'clock, find the time taken by it to strike at 12 O'clock. (1)18 seconds (2) 22 seconds (3) 24 seconds (4) 26 seconds (5) 28 seconds

68

CALENDERS 1.

2.

3.

4.

5.

6.

7.

8.

Which among the following years is a leap year? (1)3000 (2)3100 (3) 3200

(4)3300

(5) 3400

Which among the following years is not a leap year? (1)1600 (2)1996 (3) 2000

(4)1800

(5) 1552

Which day of the week was 1601, Jan 15? (1) Monday (2)Tuesday (3) Wednesday What is the next leap year after 2096? (1)2100 (2)2104 The last day of a century cannot be (1) Monday (2)Tuesday

(4)Thursday

(3) 2200

(4)2102

(3) Wednesday

Which day of the week was 25th December, 1995? (1) Monday (2)Tuesday (3) Wednesday

(5) Sunday

(4)Friday

(4)Thursday

(5) 2108

(5) Sunday

(5) Sunday

Which year will have same calendar as 1984? (1)2020 (2)2008

(3) 2012

(4)2004

(5) 1988

Which year will have same calendar as 2002? (1)2008 (2)2011

(3) 2009

(4)2012

(5) 2013

9.

If 1st January 2012 is a Sunday, then which day of the week will the New year be celebrated in 2016? (1) Friday (2)sunday (3) Wednesday (4)Saturday (5) Monday

10.

The first Republic day was celebrated on 26th January 1950. It was a (1) Monday (2)Tuesday (3) Thursday (4)Friday

(5) Sunday

X. NUMBER SERIES Directions for questions 1 to 9: Complete the following series 1.

2.

3.

8, 64, 216, 512, ____ (1) 729 (2) 1000

(3) 1728

(4) 343

12, 24, 72, 144, 432, ____ (1) 1296 (2) 862

(3) 864

(4) 1724

(5) 1024

125, 375, 377, 1131, 1133, ____ (1) 3399 (2) 1135

(3) 1136

(4) 2266

(5) 3400

(5) 1024

69 4.

5.

6.

7.

8.

9.

2, 10, 30, 68, 130, ____ (1) 216 (2) 222

(3) 256

(4) 343

(5) 260

35, 101, 36, 202, 37, 303, ____ (1) 404 (2) 40

(3) 38

(4) 39

(5) 505

87, 101, 129, 171, 227, ____ (1) 300 (2) 297

(3) 241

(4) 255

(5) 269

36, 150, 392, 810, 1452, ____ (1) 3375 (2) 2800

(3) 2366

(4) 2466

13, 29, 91, 369, 1851, ____ (1) 7077 (2) 6053

(3) 11226

(4) 11213

(5) 11113

78, 294, 419, 483, 510, ____ (1) 511 (2) 513

(3) 515

(4) 517

(5) 518

(5) 5000

Directions for questions 10 to 18: In each of the following series, a wrong number is given. Find the wrong number. 10.

11.

12.

13.

14.

15.

16.

17.

18.

11, 33, 36, 108, 110, 333 (1) 33 (2) 36

(3)108

(4) 110

(5) 333

6, 10, 19, 34, 66, 130 (1) 6 (2) 19

(3)34

(4) 130

(5) 66

2, 12, 36, 80, 150, 254 (1) 12 (2) 254 (3)150

(4) 80

(5) 36

7, 8, 20, 43, 107, 232, 448 (1) 43 (2) 232 (3)107

(4) 7

(5) 20

6, 7, 9, 13, 26, 37, 69 (1) 7 (2) 26 (3)69

(4) 37

(5) 9

13, 14, 30, 93, 377, 1885 (1) 93 (2) 14 (3)377

(4) 30

(5) 13

15, 30, 10, 30, 8, 48 (1) 30 (2) 8 (3)48

(4) 10

(5) 15

9, 10, 16, 57, 214, 1085 (1) 214 (2) 1085

(3)57

5, 15, 30, 135, 405, 1215, 3645 (1) 3645 (2) 1215 (3)405

(4) 16

(5) 10

(4) 30

(5) 15

70

V. LETTER SERIES 1.

Directions: Complete the following series.

1.

A, E, I, O, ____ (1) H

2.

3.

4.

5.

6.

7.

8.

9.

10.

(2) U

(3) R

(4) P

(5) C

A, Z, B, Y, C, X, D, ____ (1) W (2) U

(3) R

(4) E

(5) C

P, R, T, V, X, ____ (1) Y (2) Z

(3) A

(4) W

(5) C

AI, EO, IU, ____,UE (1) OU (2) OI

(3) UA

(4) OA

(5) OE

(4) EV

(5) IV

AP, BQ, CR, DS, ____ (1) ET (2) EU

(3) TE

KPD, LOE, MNF, NMG, ____ (1) ONF (2) OLH

(3) MLH

QLR, JPD, RNU, GNC, SPX, DLB ____ (1) ARE (2) AJA (3) BTU ABDH, BDHP, CFLX, DHPF, ____ (1) EKNT (2) TNEK A1, B4, C9, ____, E25 (1) D12 (2) D16 N15A, P18B, R21C, ____, V27E (1) S23D (2) S25F

(4) MNH

(5) NLH

(4) KJE

(5) TRA

(3) EJTN

(4) JNTE

(5) GLFR

(3) D18

(4) D15

(5) D19

(3) T24D

(4) T25E

(5) T26F

Seating Arrangements Direction ( 1-5 ): Study the following information carefully to answer the given questions A, B, C, D, E, F, G and H are seated in a straight line facing North. C sits fourth to left of G. D sits second to right of G. Only two people sit between D and A. B and F are immediate neighbours of each other. B is not an immediate neighbour of A. H is not an immediate neighbour of D. 1.

Who amongst the following sits exactly in the middle of the persons who sit fifth from the left and the person who sits sixth from the right? 1) C 2) H 3) E 4) F

2.

Who amongst the following sits third to the right of C? 1) B 2) F 3) A 4) E

71 3.

Which of the following represent persons seated at the two extreme ends of the line? 1) C, D 2) A, B 3) B, G 4) D, H

4.

What is the position of H with respect to F? 1) Third to the left 2) Immediate right 3) Second to right

5.

How many persons are seated between A and E? 1) One 2) Two 3) Three

4) Fourth to left

4) Four

Direction (6-7): Read the following information carefully and then answer the questions that follow A group of seven singers, facing the audience, are standing in a line on the stage as follow I. II. III. IV. V. VI. 6.

7.

D is to the right of C. F is standing beside G. B is to the left of F. E is to the left of A. C and B have one person between them. A and D have one person between them.

Who is on the extreme right? 1) D 2) F

3) G

4) E

If we start counting from the left , on which number is C? 1) 1st 2) 2nd 3) 3rd 4) 5th

Direction (8-10): Read the following information carefully and then answer the questions that follows: Eight persons P,M,R, T, Q, U, V and W are sitting in front of one another in two rows. Each row has 4 persons. P is between U and V and facing North. Q, who is to the immediate left of M is facing W. R is between T and M and W is to the immediate right of V. 8.

9.

10.

Who is sitting in front of R? 1) U 2) Q

3) V

Who is to the immediate right of R? 1) M 2) U 3) M or T 5) None of these

4) P 5) None of these

4) Cannot be determined

In which of the following pairs, persons are sitting in front of each other? 1) MV 2) RV 3) TV 4) UR 5) None of these

72 Directions ( 11-15 ): Study the following information carefully to answer the given questions Eight friends A, B, C, D, E, F G and H are sitting around a circle facing the centre but not necessarily in the same order G sits third to left of D. Only one person sits between D and F. B sits second to right of H. H is not an immediate neighbor of D. C is not an immediate neighbor of D. E is an immediate neighbor of H 11.

What is the position of E with respect to the position of C? 1) Third to the left 2) Second to the left 3) Immediate right 4) Third to the right 5) Second to the right

12.

Who amongst the following sits exactly between A and G? 1) B 2) C 3) E 4) F

5) D

13.

Four of the following five are alike in a certain way and thus form a group. Which is the one that does not belong to that group? 1) CG 2) AE 3) HD 4) EC 5) None of these

14.

Which of the following is true with respect to given seating arrangement? 1) Both A and D are immediate neighbors of E 2) C sits exactly between H and F 3) Only three people sit between C and E 4) H is to the immediate left of B 5) None of these

15.

Who amongst the following sits third to the left of F? 1) A 2) B 3) C 4) G

Directions ( 16-20

5) H

): Study the following information carefully to answer the given questions

P, T, V, R, M, D, K and W are sitting around a circular table facing the centre. V is second to the left of T. T is fourth to the right of M. D and P are not immediate neighbors of T. D is third to the right of P. W is not an immediate neighbor of P. P is to the immediate left of K. 16.

17.

18.

Who is second to the left of K? 1) P 2) R 3) M Who is to the immediate left of V? 1) D 2) M 3) W 5) None of these Who is the third to the right of V? 1) T 2) K 3) P

4) W

5) Data inadequate

4) Data inadequate

4) M

5) None of these

73 19.

20.

What is R's position with respect to V? 1) Third to the right 2) Fifth to the right 4) Second to the left 5) Fourth to the left

3) Third to the left

Four of the following five are alike in a certain way based on their positions in the above sitting arrangement and so form a group. Which of the following does not belong to that group? 1) DW 2) TP 3) VM 4) RD 5) KR Directions (21-22): Study the following information carefully to answer the given questions

Eight friends A, B, C, D, E, F, G and H are sitting a circle facing the centre. B is sitting between G and D. H is third to the left of B and second to the right of A. C is sitting between A and G and B and E are not sitting opposite to each other. 1.

2.

Who is third to the left of D? 1) F 2) E 4) Cannot be determined

3) A

Which of the following statements is not correct 1) D and A are sitting opposite to each other 3) E is sitting between F and D

2) C is third to the right of D 4) A is sitting between C and F

Logical Puzzles/Analytical Puzzles Directions (1-4): Study the following information carefully to answer the given questions Shalu, Charu, Lata, Tom and Sandy help themselves to take some sweets from bowl. Four of them each take a gulab jamun. Charu and Tom do not take a burfy as all the others do. Infact, Charu takes only one sweet, which is a laddu. Laddu is not taken by others apart from Charu. Only Shalu and Sandy do not take peda. 1.

2.

Who only had a peda and a gulab jamun? 1) Charu 2) Sandy

3) Shalu

4) Tom

Who takes three sweets? 1) Charu 2) Sandy

3) Shalu

4) Lata

3.

Who are the two people taking the same number and same type of sweets? 1) Shalu and Lata 2) Sandy and Lata 3) Shalu and Sandy 4) Tom and Sandy

4.

In total, how many sweets were taken by the group? 1) 11 2) 12 3) 9

4) 10

74 Directions (5-9): Study the following information carefully to answer the given questions Seven friends A, B, C, D, E, F and G studied in colleges X, Y, and Z are currently in different professions, namely medicines, fashion designing, engineering, business, acting, teaching and architecture (not necessarily in the same order). At least two and not more than three friends had studied in the same college. C is an architect and studied in college Y. E is not a businessman. Only G amongst the seven friends studied in college X along with E. F is an engineer and did not study in college Y. B is an actor and did not study in the same college as F. A did not study in college Z. Those who studied in college X are neither fashion designers nor teachers. None of those who studied in college Y is a teacher. 5.

6.

7.

8.

9.

Who amongst the following have studied in college Z? 1) B, A 2) C, F 3) B, D, F

4) A, D

5) D, F

Which of the following groups represents the students of college Y? 1) C, E, G 2) A, C, D 3) A, B, C 4) D, B, C

5) None of these

What is the profession of F? 1) Engineering 2) Business

4) Acting

5) None of these

4) D

5) None of these

3) Medicines

Who amongst the following is in the profession of medicine? 1) E 2) G 3) A What is the profession of A? 1) Teaching 2) Medicine 5) None of these

3) Business

4) Fashion designing