Quantitative Aptitude

General Aptitude

Aptitude Tests for…………. 1. Competitive

Exams-MPSC/UPSC 2. Railway/Post Office 3. Banking Exams-100 Marks 4. MBA/MCA Entrance-200 Marks

General Aptitude Preparation       

Build your basics strong.... Know your strengths. ... Work on shortcut techniques. ... Get the formulas right. ... Work on conversions……. Practice and practice. ... Understand the Question

QUESTIONS TYPES       

Age Volume and Area Average Clock Time and Distance Partnerships Ratio and Proportion

 Time and Distance  Time and Work

 Simplification  Square Root and Cube Root  Probability  Train

AS DM BO f o l t e p i k t l c a u r M B , n o i s i v i D

A , n o i t a ic

o i t i d d

d n na

t b Su

n o i t c ra

Age Let the present age of P and Q be 3x and 4x respectively.

Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:4, what will be the total of their present ages? A. 45 C. 35

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B. 40 D. 30 And : C. 35

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Ten years ago,(3x – 10) = (4x – 10) P was half of Q > (3x – 10) = 1/ 2(4x – 10) => 6x – 20 = 4x – 10 => 2x = 10 => x = 5 lf of total of their present ages = 3x + 4x = 7x = 7 × 5 = 35 Q's age.

Permutations & Combinations

In how many different ways can the letters of the word 'JUDGE' be arranged such that the vowels always come together? A. None of these

B. 48

C. 32 Option B. 48

D. 64

The word 'JUDGE' has 5 letters. It has 2 vowels (UE) in it

Permutations : Arrangement of Objects Combinations : Selection of Objects

2 vowels can be grouped and considered as a single letter. That is, JDG(UE). Number of ways to arrange these letters = 4!= 4 x 3 x 2 x 1 = 24 To arrange these vowels among themselves = 2! = 2 Total number of ways = 24 x 2 =48

Probability

A. 2/3

B. 2/9

Total number of outcomes possible when a die is rolled = 6

Probability = Favorable No. of Outcomes Total Outcomes A die is rolled twice. What is the probability of getting a sum equal to 9?

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C. 1/3 Ans: Option D

D. 1/9

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Hence, total number of outcomes possible when a die is rolled twice, n(S) T= 6 × 6 = 36 E =Getting a sum of 9 when the two dice fall = {(3, 6), {4, 5}, {5, 4}, (6, 3)} E= 4 P(E) = (E)/ (T)=4/36=1/9 P(E) =1/9

Work P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left? A. 8/15 B. 7/15 C. 11/15 D. 2/11 Option A: 8/15

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Amount of work P can do in 1 day = 1/15 Amount of work Q can do in 1 day = 1/20 Amount of work P and Q can do in 1 day = 1/15 + 1/20 = 7/60 Amount of work P and Q can together do in 4 days = 4 × (7/60) = 7/15 Fraction of work left = 1 – 7/15= 8/15

Train A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 650 m? A. 120 sec B. 99 sec D. 80 sec C. 89 sec Option : C. 89 sec

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v = 240/24 (where v is the speed of the train) = 10 m/s (length/time)

t = (240+650)/10 = 89 seconds

Reasoning Questions 1. 2. 3. 4. 5. 6. 7. 8.

Family Relationship Series Completion Coding-Decoding Direction Sense Seating Arrangement Syllogism Ranking Calendar

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Series Completion Test 

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ALPHABET SERIES 1. Regular order 2. Increasing Order 3. Decreasing Order 4. Combination Series NUMBER SERIES 1 . Consecutive odd-even Numbers 2. Consecutive Prime Numbers 3. Square or Cube of some number with or without addition/subtraction 4. Sum/Product/ difference of preceding numbers

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Series Completion Test Example 1. which of the alternative figures would correctly fill in the blank space in the following series of numbers? 6,13,27,55,111, ___ 2, 12, 72, 432, ? (A) 225          (B) 224 (C) 223          (D)231 (E) 230 Answer with Explanation :- 13 is greater than the double of 6 by 1. similarly 27 is greater than the double of 13 by 1. 55 is greater than the double of 27 by 1. 111 is greater than the double of 55 by 1. thus, in blank space there would be 2*111+1= 223 Hence the correct answer is (C).

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Find the odd man out. 1, 8, 27, 64, 125, 196, 216, 343 

A. 64

B. 196

C. 216

D. 1 Option B: 196

The pattern is 13, 23, 33, 43, 53, 63, 73. 196 is not a perfect cube

Insert the missing number. 34, 7, 37, 14, 40, 28, 43, (...) 

A. 312 C. 46

34, 37, 40, 43, ... (Increase by 3) 7, 14, 28, ... (Multiply by 2)

B. 42 D. 56 Ans: Option D

We have two series here

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Hence, next term is 28 × 2 = 56

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Example 2. which one of the letter groups given below would replace the question mark (?) in the letter series? YCL, MQZ, AEN, ?

(A) OSB         (B) PUE (C) MPX        (D) OTC (E) PVF 

Answer with explanation :- Last letter of the firs group is L and the first letter of second group is M. Here, M is the next letter of L in alphabet. Similarly the last letter of the second group is Z and the first letter of the third group is A. here A is the next letter of Z in alphabet. Therefore, the first letter of blank space should be the next letter of N, which is O. Besides, there is a gap of three letters between the first and second letters of each group. therefore, second letter of blank space should be fourth letter after O. i.e it should be S. in given alternatives only (A) is such alternative that has first letter as O and second as S. Hence (A) is the correct answer.

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Direction Sense Test

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Example 1 : A man Started to walk in West. After moving a distance he turned to his right. After moving a distance he turned To his right. After moving a little he turned in the end to his left. Now in which direction was he going? (A)   North (B)   South (C)   East (D)   West Answer With Explanation : (A) The man started to walk from A towards West and reached to B after moving a little distance. Then From B he turned to his right (C) From (C) he turned to his right and reached at (D). at D he turned to his left. So, he Was going in the north direction. See Below Image for better idea.

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Coding Decoding 

If DELHI is coded as FGNJK how MADRAS is coded?

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If BHOPAL is coded as EERMDI how POWDER is coded

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Seating Arrangement

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Find and draw a line of direction. (North, South, East, West) note down right side and left side in the top of the line which you drawn Arrange the seat

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Examples 

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A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next to D, D is not sitting with E who is on the left end of the bench. C is on the second position from the right. A is to the right of B and E. A and C are sitting together. In which position A is sitting ? draw a line and find out who is on the last, in this question “E” is the left end of the bench. another placement would of “A” which is right of “B” and “E”.

Ans. EBACD

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Syllogism – Statements and Logical Conclusions Rules Tricks

Statement : All plants are trees. No trees are  green. Conclusions : I. Some plants are green. II. No plants are green.

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1) Only I follows 2) Only II follows 3) Both I and II follow 4) Either I or II follows 5) Neither I nor II follows 22

Family Relationship Pointing to a photograph, Vipul said, "She is the daughter of my grandfather's only son." How is Vipul related to the girl in the photograph ? Option : A. Father B. Brother C. Cousin D. Uncle E. Grandson

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