001-refresher-arithmetic-elements-by Engr Win-win.pdf

001 REFRESHER PLUMBING ARITHMETIC ELEMENTS ENGR. ROEL ASENDIENTE ABAO

1. For any two triangles, if an angle of one triangles is congruent to an angle of the other and if the two sides of one triangle are proportional to two sides of the other, they are what kind of triangles? a. b. c. d.

Complementary Supplementary Similar Dissimilar

1. For any two triangles, if an angle of one triangles is congruent to an angle of the other and if the two sides of one triangle are proportional to two sides of the other, they are what kind of triangles? a. b. c. d.

Complementary Supplementary Similar Dissimilar

2. An angle inscribe in a semi-circle is always? a. b. c. d.

Unaligned More than 90 deg. Less than 90 deg. 90 deg.

2. An angle inscribe in a semi-circle is always? a. b. c. d.

Unaligned More than 90 deg. Less than 90 deg. 90 deg.

3. A factor repeated to produce a power is? a. b. c. d.

Numerator Square Quotient Root

3. A factor repeated to produce a power is? a. b. c. d.

Numerator Square Quotient Root

4. A polygon with ten side is? a. b. c. d.

Dodecagon Undecagon Decagon Tendicagon

4. A polygon with ten side is? a. b. c. d.

Dodecagon Undecagon Decagon Tendicagon

5. Two angles having the same vertex and the side of one is the prolongation of the side of the other is? a. b. c. d.

Acute angle Scalene angle Obtuse angle Vertical angle

5. Two angles having the same vertex and the side of one is the prolongation of the side of the other is? a. b. c. d.

Acute angle Scalene angle Obtuse angle Vertical angle

6. The volume of the cube is equal to the cube of the measure of its? a. b. c. d.

Angle Corner Edge Diagonal

6. The volume of the cube is equal to the cube of the measure of its? a. b. c. d.

Angle Corner Edge Diagonal

7. If each two lines is perpendicular to the same line, then the lines are? a. b. c. d.

Perpendicular Parallel Tangent Converging

7. If each two lines is perpendicular to the same line, then the lines are? a. b. c. d.

Perpendicular Parallel Tangent Converging

8. Is a branch of mathematics dealing with integers and more generally, numeral computation? a. b. c. d.

Algebra Trigonometry Geometry Arithmetic

8. Is a branch of mathematics dealing with integers and more generally, numeral computation? a. b. c. d.

Algebra Trigonometry Geometry Arithmetic

9. The power to which a number is raised is indicated by a small superior figure called? a. b. c. d.

Logarithm Increment Exponent Mantissa

9. The power to which a number is raised is indicated by a small superior figure called? a. b. c. d.

Logarithm Increment Exponent Mantissa

10. A number that be exactly divided by two is? a. b. c. d.

Real Odd Integer Even

10. A number that be exactly divided by two is? a. b. c. d.

Real Odd Integer Even

11. A space that is devoid of matter and which the pressure is zero? a. b. c. d.

Block hole Outer space Vacuum Inner space

11. A space that is devoid of matter and which the pressure is zero? a. b. c. d.

Block hole Outer space Vacuum Inner space

12. Decrease in the value of a physical property due to the passage of time? a. b. c. d.

Inflation Depletion Recession Depreciation

12. Decrease in the value of a physical property due to the passage of time? a. b. c. d.

Inflation Depletion Recession Depreciation

13. We may classify an interest rate which specifies the actual rate of interest on the principal for one year as? a. b. c. d.

Nominal rate Rate of return Exact interest rate Effective rate

13. We may classify an interest rate which specifies the actual rate of interest on the principal for one year as? a. b. c. d.

Nominal rate Rate of return Exact interest rate Effective rate

14. The ratio of the interest payment to the principal for a given unit of time and usually expressed as a percentage of the principal? a. b. c. d.

Interest Interest rate Investment Rate

14. The ratio of the interest payment to the principal for a given unit of time and usually expressed as a percentage of the principal? a. b. c. d.

Interest Interest rate Investment Rate

15. Additional information of prospective bidders on contract documents issued prior to bidding date? a. b. c. d.

Depict Escalate Assessment Bid bulletin

15. Additional information of prospective bidders on contract documents issued prior to bidding date? a. b. c. d.

Depict Escalate Assessment Bid bulletin

16. The paper currency issued by the Central Bank which forms part of the country’s money supply? a. b. c. d.

T-bills Bank note Check Coupon

16. The paper currency issued by the Central Bank which forms part of the country’s money supply? a. b. c. d.

T-bills Bank note Check Coupon

17. Reduction in the level of national income and output usually accompanied by the fall in the general price level? a. b. c. d.

Devaluation Deflation Inflation Depreciation

17. Reduction in the level of national income and output usually accompanied by the fall in the general price level? a. b. c. d.

Devaluation Deflation Inflation Depreciation

18. It is a series of equal payment accuring at equal interval of time? a. b. c. d.

Annuity Debt Amortization Deposit

18. It is a series of equal payment accuring at equal interval of time? a. b. c. d.

Annuity Debt Amortization Deposit

19. The place where buyers and sellers come together? a. b. c. d.

Market Business Recreation center Buy and sell section

19. The place where buyers and sellers come together? a. b. c. d.

Market Business Recreation center Buy and sell section

20. A market whereby there is only one buyer of an item for which there are no goods substitute? a. b. c. d.

Monopsony Oligopoly Monopoly Oligopsony

20. A market whereby there is only one buyer of an item for which there are no goods substitute? a. b. c. d.

Monopsony Oligopoly Monopoly Oligopsony

21. It is a series of equal payments occurring at equal interval of time where the first payment is made after several periods, after the beginning of the payment? a. b. c. d.

Perpetuity Ordinary annuity Annuity due Deferred annuity

21. It is a series of equal payments occurring at equal interval of time where the first payment is made after several periods, after the beginning of the payment? a. b. c. d.

Perpetuity Ordinary annuity Annuity due Deferred annuity

22. The total income equal the total operating cost? a. b. c. d.

Balance sheet In place value Check and balance Breakeven no gain loss

22. The total income equal the total operating cost? a. b. c. d.

Balance sheet In place value Check and balance Breakeven no gain loss

23. Kind of obligation which has no condition attached. a. b. c. d.

Analytic Pure Gratuitous Private

23. Kind of obligation which has no condition attached. a. b. c. d.

Analytic Pure Gratuitous Private

24. Direct labor cost incurred in the factory and direct material costs of all materials that go into production. The sum of these two direct cost is known as: a. b. c. d.

GS and A expenses Operating and Maintenance cost Prime cost O and M cost

24. Direct labor cost incurred in the factory and direct material costs of all materials that go into production. The sum of these two direct cost is known as: a. b. c. d.

GS and A expenses Operating and Maintenance cost Prime cost O and M cost

25. An index of short term paying ability is called? a. b. c. d.

Receivable turn over Profit margin ratio Current ratio Acid-test ratio

25. An index of short term paying ability is called? a. b. c. d.

Receivable turn over Profit margin ratio Current ratio Acid-test ratio

26. An artificial expenses that spreads purchase price of an asset or another property over number of years. a. b. c. d.

Depreciation Sinking fund Amnesty Bond

26. An artificial expenses that spreads purchase price of an asset or another property over number of years. a. b. c. d.

Depreciation Sinking fund Amnesty Bond

27. Estimated value at the end of the useful life. a. b. c. d.

Market value Fair value Salvage value Book value

27. Estimated value at the end of the useful life. a. b. c. d.

Market value Fair value Salvage value Book value

28. Consist of the actual counting or determination of the actual quantity of the materials on hand as of a given date. a. b. c. d.

Physical inventory Material update Technological assessment Material count

28. Consist of the actual counting or determination of the actual quantity of the materials on hand as of a given date. a. b. c. d.

Physical inventory Material update Technological assessment Material count

29. A series of uniform accounts over a period of time. a. b. c. d.

Depreciation Annuity Perpetuity Inflation

29. A series of uniform accounts over a period of time. a. b. c. d.

Depreciation Annuity Perpetuity Inflation

30. The quantity of a certain commodity that is offered for sale at a certain price at a given place and time. a. b. c. d.

Demand Supply Stocks Goods

30. The quantity of a certain commodity that is offered for sale at a certain price at a given place and time. a. b. c. d.

Demand Supply Stocks Goods

31. Work-in process is classified as, a. b. c. d.

An asset A liability An expenses An owner’s equity

31. Work-in process is classified as, a. b. c. d.

An asset A liability An expenses An owner’s equity

32. What is the highest position in the corporation? a. b. c. d.

President Board of Directors Chairman of the Board Stockholders

32. What is the highest position in the corporation? a. b. c. d.

President Board of Directors Chairman of the Board Stockholders

33. Type of ownership in business here individuals exercise and enjoy the right in their own interest. a. b. c. d.

Equitable Public Private Pure

33. Type of ownership in business here individuals exercise and enjoy the right in their own interest. a. b. c. d.

Equitable Public Private Pure

34. Decrease in the value of a physical property due to the passage of time. a. b. c. d.

Inflation Depletion Recession Depreciation

34. Decrease in the value of a physical property due to the passage of time. a. b. c. d.

Inflation Depletion Recession Depreciation

35. An association of two or more individuals for the purpose of operating a business as co-owners for profit, a. b. c. d.

Sole proprietorship Company Partnership Corporation

35. An association of two or more individuals for the purpose of operating a business as co-owners for profit, a. b. c. d.

Sole proprietorship Company Partnership Corporation

36. We may classify an interest rate, which specifies the actual rate of interest on the principal for one year as; a. b. c. d.

Nominal rate Rate of return Exact interest rate Effective rate

36. We may classify an interest rate, which specifies the actual rate of interest on the principal for one year as; a. b. c. d.

Nominal rate Rate of return Exact interest rate Effective rate

37. It is defined to the capacity of a commodity to satisfy human want. a. b. c. d.

Discount Luxury Necessity Utility

37. It is defined to the capacity of a commodity to satisfy human want. a. b. c. d.

Discount Luxury Necessity Utility

38. It is the amount which a willing buyer will pay to willing seller for a property where each has equal advantage and is under no compulsion to buy or sell. a. b. c. d.

Fair value Market value Book value Salvage value

38. It is the amount which a willing buyer will pay to willing seller for a property where each has equal advantage and is under no compulsion to buy or sell. a. b. c. d.

Fair value Market value Book value Salvage value

39. This occurs in a situation where a commodity or service is supplied by a number of vendor by a number of vendors and there is nothing to prevent additional vendors entering the market. a. b. c. d.

Perfect competition Oligopoly Monopoly Elastic demand

39. This occurs in a situation where a commodity or service is supplied by a number of vendor by a number of vendors and there is nothing to prevent additional vendors entering the market. a. b. c. d.

Perfect competition Oligopoly Monopoly Elastic demand

40. These are products or services that are desired by human and will be purchase if money is available after the required necessities have been obtain, a. b. c. d.

Utilities Necessities Luxuries Product goods and services

40. These are products or services that are desired by human and will be purchase if money is available after the required necessities have been obtain, a. b. c. d.

Utilities Necessities Luxuries Product goods and services

41. These are products or services that are required to support human life and activities that will be purchased in somewhat the same quantity even though the price varies considerably, a. b. c. d.

Utilities Necessities Luxuries Product goods and services

41. These are products or services that are required to support human life and activities that will be purchased in somewhat the same quantity even though the price varies considerably, a. b. c. d.

Utilities Necessities Luxuries Product goods and services

42. A condition where only few individuals produce a certain product and that any action of one will lead to almost the same action of others. a. b. c. d.

Oligopoly Semi-monopoly Monopoly Perfect competition

42. A condition where only few individuals produce a certain product and that any action of one will lead to almost the same action of others. a. b. c. d.

Oligopoly Semi-monopoly Monopoly Perfect competition

43. Grand total of the assets and operational capability of a corporation. a. b. c. d.

Authorized capital Investment Subscribed capital Money market

43. Grand total of the assets and operational capability of a corporation. a. b. c. d.

Authorized capital Investment Subscribed capital Money market

44. The worth of the property equals to the original cost less depreciation. a. b. c. d.

Scrap value Face value Market value Book value

44. The worth of the property equals to the original cost less depreciation. a. b. c. d.

Scrap value Face value Market value Book value

45. Money paid for the use of borrowed capital. a. b. c. d.

Discount Credit Interest Profit

45. Money paid for the use of borrowed capital. a. b. c. d.

Discount Credit Interest Profit

46. Liquid assets such as cash and other assets that can be converted quickly into cash, such as accounts receivable and merchandise are called a. b. c. d.

Total assets Fixed assets Current assets None of the above

46. Liquid assets such as cash and other assets that can be converted quickly into cash, such as accounts receivable and merchandise are called a. b. c. d.

Total assets Fixed assets Current assets None of the above

47. The length of time which the property may be operated at a profit a. b. c. d.

Physical life Economic life Operating life All of the above

47. The length of time which the property may be operated at a profit a. b. c. d.

Physical life Economic life Operating life All of the above

48. The provision in the contract that indicates the possible adjustment of material cost and labor cost a. b. c. d.

Secondary clause Escalatory clause Contingency clause Main clause

48. The provision in the contract that indicates the possible adjustment of material cost and labor cost a. b. c. d.

Secondary clause Escalatory clause Contingency clause Main clause

49. The present worth of all depreciation over the economic life of the item is called a. b. c. d.

Book value Capital recovery Depreciation recovery Sinking fund

49. The present worth of all depreciation over the economic life of the item is called a. b. c. d.

Book value Capital recovery Depreciation recovery Sinking fund

50. Gross profit, sale less cost of good sold, as a percentage of sales is called a. b. c. d.

Profit margin Gross margin Net income Rate of return

50. Gross profit, sale less cost of good sold, as a percentage of sales is called a. b. c. d.

Profit margin Gross margin Net income Rate of return

51. Worth of the property as shown in the accounting records of an enterprise, a. b. c. d.

Fair value Market value Salvage value Book value

51. Worth of the property as shown in the accounting records of an enterprise, a. b. c. d.

Fair value Market value Salvage value Book value

52. Those funds that are required to make the enterprise or project a going concern, a. b. c. d.

Initial investments Current accounts Working capital Subscribed capital

52. Those funds that are required to make the enterprise or project a going concern, a. b. c. d.

Initial investments Current accounts Working capital Subscribed capital

53. A market situation where there is one seller with many buyer, a. b. c. d.

Monopoly Monopsony Oligopoly Oligopsony

53. A market situation where there is one seller with many buyer, a. b. c. d.

Monopoly Monopsony Oligopoly Oligopsony

54. A market situation where there is one seller and one buyer, a. b. c. d.

Monopoly Monopsony Oligopoly Oligopsony

54. A market situation where there is one seller and one buyer, a. b. c. d.

Monopoly Monopsony Oligopoly Oligopsony

55. A market situation where there are few sellers and few buyers, a. b. c. d.

Oligopoly Oligopsony Bilateral oligopoly Bilateral Oligopsony

55. A market situation where there are few sellers and few buyers, a. b. c. d.

Oligopoly Oligopsony Bilateral oligopoly Bilateral Oligopsony

56. A market situation where there are only two buyers with many sellers, a. b. c. d.

Duopoly Oligopoly Duepsony Oligopsony

56. A market situation where there are only two buyers with many sellers, a. b. c. d.

Duopoly Oligopoly Duepsony Oligopsony

57. Define as the future value minus the present value. a. b. c. d.

Interest Rate of return Discount Capital

57. Define as the future value minus the present value. a. b. c. d.

Interest Rate of return Discount Capital

58. The ratio of the interest payment to the principal for a given unit of time and usually expressed as percentage of the principal, a. b. c. d.

Interest Interest rate Investment All of the above

58. The ratio of the interest payment to the principal for a given unit of time and usually expressed as percentage of the principal, a. b. c. d.

Interest Interest rate Investment All of the above

59. Scrap value of an asset is sometimes known as, a. b. c. d.

Book value Salvage value Replacement value Future value

59. Scrap value of an asset is sometimes known as, a. b. c. d.

Book value Salvage value Replacement value Future value

60. A type of annuity where the payments are made at the end of payment period starting from the first period, a. b. c. d.

Ordinary annuity Annuity due Deferred annuity Perpetuity

60. A type of annuity where the payments are made at the end of payment period starting from the first period, a. b. c. d.

Ordinary annuity Annuity due Deferred annuity Perpetuity

61. Bond to which are attached coupons indicating the interest due and the date when such interest is to be paid, a. b. c. d.

Registered bond Coupon bond Mortgage bond Collateral trust bond

61. Bond to which are attached coupons indicating the interest due and the date when such interest is to be paid, a. b. c. d.

Registered bond Coupon bond Mortgage bond Collateral trust bond

62. “When free competition exists the price of a product will be that value where supply is equal to the demand” a. b. c. d.

Law of diminishing return Law of supply Law of demand Law of supply and demand

62. “When free competition exists the price of a product will be that value where supply is equal to the demand” a. b. c. d.

Law of diminishing return Law of supply Law of demand Law of supply and demand

63. The ratio of the net income to the owners equity is known as, a. b. c. d.

Price-earning ratio Profit margin ratio Return of investment Gross margin

63. The ratio of the net income to the owners equity is known as, a. b. c. d.

Price-earning ratio Profit margin ratio Return of investment Gross margin

64. Capitalized cost of any property is equal to the, a. b. c. d.

Annual cost First cost + interest of the first cost First cost + cost of perpetual maintenance First cost + salvage value

64. Capitalized cost of any property is equal to the, a. b. c. d.

Annual cost First cost + interest of the first cost First cost + cost of perpetual maintenance First cost + salvage value

65. Which of the following depreciation methods cannot have a salvage value of zero? a. b. c. d.

Declining balance method Sinking fund method Straight line method SYD method

65. Which of the following depreciation methods cannot have a salvage value of zero? a. b. c. d.

Declining balance method Sinking fund method Straight line method SYD method

66. The lessening of value of an asset due to the decrease in the quantity available preferring to the natural resources? a. b. c. d.

Depreciation Depletion Inflation Incremental cost

66. The lessening of value of an asset due to the decrease in the quantity available preferring to the natural resources? a. b. c. d.

Depreciation Depletion Inflation Incremental cost

67. An increase in the value of a capital asset is called a. b. c. d.

Profit Capital gain Capital expenditure Capital stock

67. An increase in the value of a capital asset is called a. b. c. d.

Profit Capital gain Capital expenditure Capital stock

68. Lands, buildings, plant and machinery are example of a. b. c. d.

Current assets Trade investments Fixed assets Intangible assets

68. Lands, buildings, plant and machinery are example of a. b. c. d.

Current assets Trade investments Fixed assets Intangible assets

69. An angle that measures from the horizontal upward to an object is called a. b. c. d.

Right angle Acute angle Angle of elevation Angle of depression

69. An angle that measures from the horizontal upward to an object is called a. b. c. d.

Right angle Acute angle Angle of elevation Angle of depression

70. Any number multiplied by _____ equals unity? a. b. c. d. e.

Infinity Itself Its reciprocal Zero None of the above

70. Any number multiplied by _____ equals unity? a. b. c. d. e.

Infinity Itself Its reciprocal Zero None of the above

71. A polygon with fifteen sides is called a. b. c. d.

Pentagon Dodecagon Pentadecagon nonagon

71. A polygon with fifteen sides is called a. b. c. d.

Pentagon Dodecagon Pentadecagon nonagon

72. The chord passing through the focus of the parabola and perpendicular to its axis is term as: a. b. c. d.

Directrix Translated axis Latus rectum Asymptotes

72. The chord passing through the focus of the parabola and perpendicular to its axis is term as: a. b. c. d.

Directrix Translated axis Latus rectum Asymptotes

73. For ordinary annuity, what is the value for periodic payment “A”? a. b. c. d.

Fi / (1+ i)^ n - 1 Pi / (1+ i)^ n - 1 Fi / (1+ n)^ i - 1 Fi / 1+ (1+ i)^ n

73. For ordinary annuity, what is the value for periodic payment “A”? a. b. c. d.

Fi / (1+ i)^ n - 1 Pi / (1+ i)^ n - 1 Fi / (1+ n)^ i - 1 Fi / 1+ (1+ i)^ n

74. In a regular polygon, the perpendicular line drawn from the center of the inscribed circle to any one of the sides is called: a. b. c. d.

Radius Altitude Median Apothem

74. In a regular polygon, the perpendicular line drawn from the center of the inscribed circle to any one of the sides is called: a. b. c. d.

Radius Altitude Median Apothem

75. For the flush tank type water closet, what is the main purpose of the tank? a. b. c. d.

Serves as a back rest To give water surge To hold a supply of water For rim support

75. For the flush tank type water closet, what is the main purpose of the tank? a. b. c. d.

Serves as a back rest To give water surge To hold a supply of water For rim support

76. The section of the sphere cut by a plane through its center is termed as: a. b. c. d.

Small circle Semi-circle Big circle Great circle

76. The section of the sphere cut by a plane through its center is termed as: a. b. c. d.

Small circle Semi-circle Big circle Great circle

77. The statement “a+b = b+a “ is a, a. b. c. d.

Associative law of addition Commutative law of addition Associative law of multiplication Commutative law of multiplication

77. The statement “a+b = b+a “ is a, a. b. c. d.

Associative law of addition Commutative law of addition Associative law of multiplication Commutative law of multiplication

78. Today is Monday. After 61 days, it will be: a. b. c. d.

Wednesday Saturday Sunday Thursday

78. Today is Monday. After 61 days, it will be: a. b. c. d.

Wednesday Saturday Sunday Thursday

79. If two bodies of different masses, initially at rest, are acted upon by the same force for the same time, then what will be the same in both bodies? a. b. c. d.

Velocity Acceleration Kinetic energy Momentum

79. If two bodies of different masses, initially at rest, are acted upon by the same force for the same time, then what will be the same in both bodies? a. b. c. d.

Velocity Acceleration Kinetic energy Momentum

80. What is so very special about the number 8549176320? a. b. c. d.

It’s a cyclic number It’s a Fibonacci series It is the largest number yet enumerated orally It contains digits in an alphabetical order

80. What is so very special about the number 8549176320? a. b. c. d.

It’s a cyclic number It’s a Fibonacci series It is the largest number yet enumerated orally It contains digits in an alphabetical order

81. A line segment joining two points on a circle is called: a. b. c. d.

Arc Tangent Sector Chord

81. A line segment joining two points on a circle is called: a. b. c. d.

Arc Tangent Sector Chord

82. The absorption of ink by blotting paper involves which phenomenon? a. b. c. d.

Siphon action Diffusion of ink through the blotting Viscosity of ink Capillary action phenomenon

82. The absorption of ink by blotting paper involves which phenomenon? a. b. c. d.

Siphon action Diffusion of ink through the blotting Viscosity of ink Capillary action phenomenon

83. Let a thin capillary tube be replaced with another tube of insufficient length then, what will happen to water? a. b. c. d.

Depressed will overflow Change its meniscus Will not rise

83. Let a thin capillary tube be replaced with another tube of insufficient length then, what will happen to water? a. b. c. d.

Depressed will overflow Change its meniscus Will not rise

84. Why metals electricity? a. b. c. d.

are

They contain free electrons The atoms are lightly packed They have high melting point All of the above

good

conductors

of

84. Why metals electricity? a. b. c. d.

are

They contain free electrons The atoms are lightly packed They have high melting point All of the above

good

conductors

of

85. On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004? a. b. c. d.

Tuesday Monday Sunday Wednesday

85. On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004? a. b. c. d.

Tuesday Monday Sunday Wednesday

86. A five-pointed star is also known as: a. b. c. d.

Pentagon Pentagram Pentatron Quintagon

86. A five-pointed star is also known as: a. b. c. d.

Pentagon Pentagram Pentatron Quintagon

87. The normal to a given plane is: a. b. c. d.

Lying on the plane Coplanar Perpendicular to the plane Parallel to the plane

87. The normal to a given plane is: a. b. c. d.

Lying on the plane Coplanar Perpendicular to the plane Parallel to the plane

88. A plane section cut from a right circular cone by a plane perpendicular to the base of the cone is: a. b. c. d.

Parabola Circle Hyperbola Ellipse

88. A plane section cut from a right circular cone by a plane perpendicular to the base of the cone is: a. b. c. d.

Parabola Circle Hyperbola Ellipse

89. Which of the following statements is true? a. All squares are rectangles and rhombuses. b. All rectangles are rhombuses, but not all rhombuses are rectangles. c. All squares are parallelograms, but not all squares are rectangles. d. All rhombuses are parallelograms and all parallelogram are rhombuses.

89. Which of the following statements is true? a. All squares are rectangles and rhombuses. b. All rectangles are rhombuses, but not all rhombuses are rectangles. c. All squares are parallelograms, but not all squares are rectangles. d. All rhombuses are parallelograms and all parallelogram are rhombuses.

90. When a solid (ice and snow) changes into water vapor (gas) without moving through the liquid phase, the process is called a. b. c. d.

Condensation Evaporation Deposition Sublimation

90. When a solid (ice and snow) changes into water vapor (gas) without moving through the liquid phase, the process is called a. b. c. d.

Condensation Evaporation Deposition Sublimation

91. Its is amount of energy needed to cool or heat 1 lb of water by one degree F. a. b. c. d.

Celsius Rankine Btu Calories

91. Its is amount of energy needed to cool or heat 1 lb of water by one degree F. a. b. c. d.

Celsius Rankine Btu Calories

92. One liter per second is equal to _____ gpm? a. b. c. d.

0.278 gpm 15.85 gpm 7.48 gpm 264 gpm

92. One liter per second is equal to _____ gpm? a. b. c. d.

0.278 gpm 15.85 gpm 7.48 gpm 264 gpm

93. One btu/hr is equal to ______ kJ/hr? a. b. c. d.

3.96 kJ/hr 1.055 kJ/hr 4.40 kJ/hr 3413 kJ/hr

93. One btu/hr is equal to ______ kJ/hr? a. b. c. d.

3.96 kJ/hr 1.055 kJ/hr 4.40 kJ/hr 3413 kJ/hr

94. 1 atm is equal to _____? a. b. c. d. e.

406.8 in. of water 76 cm Hg 101.3 KPa 14.7 psi All of the above

94. 1 atm is equal to _____? a. b. c. d. e.

406.8 in. of water 76 cm Hg 101.3 KPa 14.7 psi All of the above

95. 1 horsepower is equal to ____ ? a. b. c. d. e.

2545 btu/hr 550 ft-lb/s 178.1 cal/s 746 watts All of the above

95. 1 horsepower is equal to ____ ? a. b. c. d. e.

2545 btu/hr 550 ft-lb/s 178.1 cal/s 746 watts All of the above

96. One m3/hr is equal to _____ ? a. b. c. d.

0.588 cfm 4.4 gpm 0.278 lps All of the above

96. One m3/hr is equal to _____ ? a. b. c. d.

0.588 cfm 4.4 gpm 0.278 lps All of the above

97. One inch water column at 4 deg. C is equal ______? a. b. c. d.

0.036 psi 250 Pa 1.868 Torr All of the above

97. One inch water column at 4 deg. C is equal ______? a. b. c. d.

0.036 psi 250 Pa 1.868 Torr All of the above

98. One kilowatt is equal to ______? a. b. c. d. e.

1.34 hp 737.6 ft-lb/s 238.9 cal/s 3413 btu/hr All of the above

98. One kilowatt is equal to ______? a. b. c. d. e.

1.34 hp 737.6 ft-lb/s 238.9 cal/s 3413 btu/hr All of the above

99. One m^3 is equal to ______? a. b. c. d. e.

35.3 ft^3 264.04 gal 9.81 kPa 1000 li All of the above

99. One m^3 is equal to ______? a. b. c. d. e.

35.3 ft^3 264.04 gal 9.81 kPa 1000 li All of the above

100. One gpm is equal to ______? a. b. c. d. e.

0.063 lps 449 cfs 0.2272 cmh 1440 gpd All of the above

100. One gpm is equal to ______? a. b. c. d. e.

0.063 lps 449 cfs 0.2272 cmh 1440 gpd All of the above

101. Brake horsepower is: a. b. c. d.

The power delivered by the motor to the pump. The power delivered by the pump. Always greater than the motor horsepower. Always less than the motor horsepower.

101. Brake horsepower is: a. b. c. d.

The power delivered by the motor to the pump. The power delivered by the pump. Always greater than the motor horsepower. Always less than the motor horsepower.

102. What is the term for the combined efficiency of a pump and motor that is obtained by multiplying the pump efficiency by the motor efficiency? a. b. c. d.

Total system efficiency Well efficiency Wire-to-water efficiency Motor-to-pipe efficiency

102. What is the term for the combined efficiency of a pump and motor that is obtained by multiplying the pump efficiency by the motor efficiency? a. b. c. d.

Total system efficiency Well efficiency Wire-to-water efficiency Motor-to-pipe efficiency

103. Which of the following is the standard acceleration due to gravity in the English unit? a. b. c. d.

981 fps^2 32.2 fps^2 9.81 fps^2 32.2 ips^2

103. Which of the following is the standard acceleration due to gravity in the English unit? a. b. c. d.

981 fps^2 32.2 fps^2 9.81 fps^2 32.2 ips^2

104. What is the value of 1 radian in degrees? a. b. c. d.

57.3 deg. 89.55 deg. 60.3 deg. All of the above

104. What is the value of 1 radian in degrees? a. b. c. d.

57.3 deg. 89.55 deg. 60.3 deg. All of the above

105. How many degrees are 4800 mils? a. b. c. d.

180 deg. 270 deg. 90 deg. 360 deg.

105. How many degrees are 4800 mils? a. b. c. d.

180 deg. 270 deg. 90 deg. 360 deg.

106. The atomic weight of hydrogen is 1 gram per gram-atom. What is the mass of a hydrogen atom? a. b. c. d.

1.66 x 10^-24 g/atom 6.02 x 10^-23 g/atom 1 g/atom The mass is too small to calculate

106. The atomic weight of hydrogen is 1 gram per gram-atom. What is the mass of a hydrogen atom? a. b. c. d.

1.66 x 10^-24 g/atom 6.02 x 10^-23 g/atom 1 g/atom The mass is too small to calculate

107. The equation y = a1 + a2x is an algebraic expression for which of the following choices? a. b. c. d.

Straight line Cosine expansion series Circle in polar form Projectile motion

107. The equation y = a1 + a2x is an algebraic expression for which of the following choices? a. b. c. d.

Straight line Cosine expansion series Circle in polar form Projectile motion

108. One million gallons per day (mgd) is equal to ______? a. b. c. d.

684.04 kPa 684 gpm 1,000,000 li All of the above

108. One million gallons per day (mgd) is equal to ______? a. b. c. d.

684.04 kPa 684 gpm 1,000,000 li All of the above

109. One million gallons per day (mgd) is equal to ______? a. b. c. d.

1.547 cfs 449 gpm 3.785 li All of the above

109. One million gallons per day (mgd) is equal to ______? a. b. c. d.

1.547 cfs 449 gpm 3.785 li All of the above

110. One meter is equal to ______? a. b. c. d.

1.094 yard 39.37 in 3.28 ft All of the above

110. One meter is equal to ______? a. b. c. d.

1.094 yard 39.37 in 3.28 ft All of the above

111. One quarts is equal to ______? a. b. c. d.

0.946 li 449 cfs 0.2272 cmh All of the above

111. One quarts is equal to ______? a. b. c. d.

0.946 li 449 cfs 0.2272 cmh All of the above

112. Determine the value of each interior angle of a regular pentagon. a. b. c. d.

108 deg. 120 deg. 180 deg. 90 deg.

112. Determine the value of each interior angle of a regular pentagon. a. b. c. d.

108 deg. 120 deg. 180 deg. 90 deg.

113. Determine the first derivative with respect to x of the function: g(x) = 5 sq. rt. Of 10 – 35. a. b. c. d.

0 0.75 35 5

113. Determine the first derivative with respect to x of the function: g(x) = 5 sq. rt. Of 10 – 35. a. b. c. d.

0 0.75 35 5

114. Find the root mean square of 11,23 and 35. a. b. c. d.

25 27 26 24

114. Find the root mean square of 11,23 and 35. a. b. c. d.

25 27 26 24

115. Think of a number. Double the number. Subtract 6 from the result and divide the answer by 2. The quotient will be 20. what is the number you think? a. b. c. d.

12 20 23 32

115. Think of a number. Double the number. Subtract 6 from the result and divide the answer by 2. The quotient will be 20. what is the number you think? a. b. c. d.

12 20 23 32

116. How many permutation can be made out of the word ENGINEERING? a. b. c. d.

277,200 272,700 200,277 227,700

116. How many permutation can be made out of the word ENGINEERING? a. b. c. d.

277,200 272,700 200,277 227,700

117. What is the acid test ratio? a. The ratio of owner’s equity to the current liabilities. b. The ratio of all assets to actual current liabilities. c. The ratio of current assets (exclusive of inventory) to the total current liabilities. d. The ratio of gross margin to operating, sales, administrative expenses.

117. What is the acid test ratio? a. The ratio of owner’s equity to the current liabilities. b. The ratio of all assets to actual current liabilities. c. The ratio of current assets (exclusive of inventory) to the total current liabilities. d. The ratio of gross margin to operating, sales, administrative expenses.

118. How do call an energy required to move 1 coulomb of charge through an element? a. b. c. d.

Current Voltage Power Resonance

118. How do call an energy required to move 1 coulomb of charge through an element? a. b. c. d.

Current Voltage Power Resonance

119. This is a number sequence where the succeeding term is obtained by adding the last pair of preceding terms such as sequence (1,1,2,3,5,8…) how do you call this number sequence? a. b. c. d.

Euler’s number Fermat number Fibonacci number Darsho’s number

119. This is a number sequence where the succeeding term is obtained by adding the last pair of preceding terms such as sequence (1,1,2,3,5,8…) how do you call this number sequence? a. b. c. d.

Euler’s number Fermat number Fibonacci number Darsho’s number

120. If the roots of an equation are zero, then, how do you classify the solutions? a. b. c. d.

Extraneous solutions Trivial solutions Conditional solutions Darsho’s solutions

120. If the roots of an equation are zero, then, how do you classify the solutions? a. b. c. d.

Extraneous solutions Trivial solutions Conditional solutions Darsho’s solutions

121. In electricity, how do you call the rate of charge flow? a. b. c. d.

Potential difference Current Voltage Power

121. In electricity, how do you call the rate of charge flow? a. b. c. d.

Potential difference Current Voltage Power

122. This law in electrical circuits states, “The algebraic sum of currents entering a node (or a closed boundary) is zero”. How do you call this law? a. b. c. d.

Kirchhoff’s current law Ohm’s law Kirchhoff’s voltage law Darsho’s law

122. This law in electrical circuits states, “The algebraic sum of currents entering a node (or a closed boundary) is zero”. How do you call this law? a. b. c. d.

Kirchhoff’s current law Ohm’s law Kirchhoff’s voltage law Darsho’s law

123. This law in electrical circuits states, “The algebraic sum of all voltages around a closed path (or loop) is zero”. How do you call this law? a. b. c. d.

Kirchoff’s current law Ohm’s law Kirchoff’s voltage law Darsho’s law

123. This law in electrical circuits states, “The algebraic sum of all voltages around a closed path (or loop) is zero”. How do you call this law? a. b. c. d.

Kirchoff’s current law Ohm’s law Kirchoff’s voltage law Darsho’s law

124. In electrical, what is the SI unit of conductance? a. b. c. d.

Ohm Siemens Ampere Darsho’s siemens

124. In electrical, what is the SI unit of conductance? a. b. c. d.

Ohm Siemens Ampere Darsho’s siemens

125. Which of the following is the equivalent of 1 ampere? a. b. c. d.

1 coulomb per second 1 joule per second 1 darsho per second 1 kJ per second

125. Which of the following is the equivalent of 1 ampere? a. b. c. d.

1 coulomb per second 1 joule per second 1 darsho per second 1 kJ per second

126. This is the process of expressing a polynomial as the product of another polynomial or monomial of lower degree. What is this mathematical process? a. b. c. d.

Rationalization Decomposition Factoring Darshoing

126. This is the process of expressing a polynomial as the product of another polynomial or monomial of lower degree. What is this mathematical process? a. b. c. d.

Rationalization Decomposition Factoring Darshoing

127. This is a point where the concavity of a curve changes or when the slope of the curve is neither increasing nor decreasing. What is this point commonly called? a. b. c. d.

Maximum point Minimum point Point of inflection Darsho’s point

127. This is a point where the concavity of a curve changes or when the slope of the curve is neither increasing nor decreasing. What is this point commonly called? a. b. c. d.

Maximum point Minimum point Point of inflection Darsho’s point

128. How do you call the axis of the hyperbola that passes through the center, the foci and vertices? a. b. c. d.

Transverse axis Conjugate axis Asymptote axis Major axis

128. How do you call the axis of the hyperbola that passes through the center, the foci and vertices? a. b. c. d.

Transverse axis Conjugate axis Asymptote axis Major axis

129. What is the number, which could not be expressed as a quotient of two integers? a. b. c. d.

Natural Rational Irrational Surd

129. What is the number, which could not be expressed as a quotient of two integers? a. b. c. d.

Natural Rational Irrational Surd

130. How do you call the opposite of the prefix nano? a. b. c. d.

Peta Tera Giga Gaga

130. How do you call the opposite of the prefix nano? a. b. c. d.

Peta Tera Giga Gaga

131. What do you a triangle having unequal sides? a. b. c. d.

Obtuse Oblique Scalene Isosceles

131. What do you a triangle having unequal sides? a. b. c. d.

Obtuse Oblique Scalene Isosceles

132. How do you call the distance of a point from y-axis? a. b. c. d.

Abscissa Ordinate Coordinate Polar distance

132. How do you call the distance of a point from y-axis? a. b. c. d.

Abscissa Ordinate Coordinate Polar distance

133. This is the measure of central tendency defined as the most frequent score. How do you call this measure of central tendency? a. b. c. d.

Median Mode Mean Deviation

133. This is the measure of central tendency defined as the most frequent score. How do you call this measure of central tendency? a. b. c. d.

Median Mode Mean Deviation

134. One mil is equal to ______? a. b. c. d.

.01 in .001 in .0001 in .00001 in

134. One mil is equal to ______? a. b. c. d.

.01 in .001 in .0001 in .00001 in

135. A polygon with ten sides is said to be: a. b. c. d.

Dodecagon Decagon Decahadron Dodecahadron

135. A polygon with ten sides is said to be: a. b. c. d.

Dodecagon Decagon Decahadron Dodecahadron

136. Any number expressed in place value notation with the base 12 is known as: a. b. c. d.

Duodecimal Deonite Decile Dedekind

136. Any number expressed in place value notation with the base 12 is known as: a. b. c. d.

Duodecimal Deonite Decile Dedekind

137. Another name for derivative is said to be: a. b. c. d.

Differential manifold Partial derivative Differential form Differential coefficient

137. Another name for derivative is said to be: a. b. c. d.

Differential manifold Partial derivative Differential form Differential coefficient

138. Another name for rhombus is said to be: a. b. c. d.

Dichotomy Diamond Bi-rectangular Bi-sexual

138. Another name for rhombus is said to be: a. b. c. d.

Dichotomy Diamond Bi-rectangular Bi-sexual

139. A prefix denoting a multiple of ten times any of the physical units of the system international. a. b. c. d.

Deka Nano Hecto Exa

139. A prefix denoting a multiple of ten times any of the physical units of the system international. a. b. c. d.

Deka Nano Hecto Exa

140. The father of plane geometry. a. b. c. d.

Euclid Pythagoras Aristotle Galileo

140. The father of plane geometry. a. b. c. d.

Euclid Pythagoras Aristotle Galileo

141. This is the case of a solution of a plane triangle where the given data leads to two solutions. How do you call this case? a. b. c. d.

Ambiguous case Quadratic case Extraneous case Darsho’s case

141. This is the case of a solution of a plane triangle where the given data leads to two solutions. How do you call this case? a. b. c. d.

Ambiguous case Quadratic case Extraneous case Darsho’s case

142. It is a series of equal payments occurring at equal intervals of time where the first payment is made after several periods, after the beginning of the payment, how do you call this payment? a. b. c. d.

Deferred annuity Ordinary annuity Annuity due Simple annuity

142. It is a series of equal payments occurring at equal intervals of time where the first payment is made after several periods, after the beginning of the payment, how do you call this payment? a. b. c. d.

Deferred annuity Ordinary annuity Annuity due Simple annuity

143. What do you think is the negotiation of wage rates, conditions of employment ,etc. by representatives of the labor force and management? a. b. c. d.

Union trade Union rally Collective bargaining Cooperative

143. What do you think is the negotiation of wage rates, conditions of employment ,etc. by representatives of the labor force and management? a. b. c. d.

Union trade Union rally Collective bargaining Cooperative

144. How do you call a type of bond where the corporation’s owner name is recorded and the interest is paid periodically to the owners with their asking for it? a. b. c. d.

Registered bond Preferred bond Bail bond Incorporator’s bond

144. How do you call a type of bond where the corporation’s owner name is recorded and the interest is paid periodically to the owners with their asking for it? a. b. c. d.

Registered bond Preferred bond Bail bond Incorporator’s bond

145. How do you call the integral of any quotient whose numerator is the differential of the denominator? a. b. c. d.

Co-logarithm Logarithm Product Derivative

145. How do you call the integral of any quotient whose numerator is the differential of the denominator? a. b. c. d.

Co-logarithm Logarithm Product Derivative

146. What is a regular polygon that has 27 diagonals? a. b. c. d.

Nonagon Hexagon Pentagon Heptagon

146. What is a regular polygon that has 27 diagonals? a. b. c. d.

Nonagon Hexagon Pentagon Heptagon

147. How do you call the formula used to compute the value of n factorial, which is in symbolic form(!), where n is large number? a. b. c. d.

Stirling’s approximation Matheson formula Darsho’s formula Diophantine formula

147. How do you call the formula used to compute the value of n factorial, which is in symbolic form(!), where n is large number? a. b. c. d.

Stirling’s approximation Matheson formula Darsho’s formula Diophantine formula

148. What is the reason why an ivory soap floats in water? a. b. c. d.

All mater has mass. The specific gravity of ivory soap is greater than of water. The density of ivory soap is unity. The specific gravity of ivory soap is less than of water.

148. What is the reason why an ivory soap floats in water? a. b. c. d.

All mater has mass. The specific gravity of ivory soap is greater than of water. The density of ivory soap is unity. The specific gravity of ivory soap is less than of water.

149. When two planes intersect with each other, the amount of divergence between the two planes is expressed by measuring the: a. b. c. d.

Reflex angle Dihedral angle Polyhedral angle Plane angle

149. When two planes intersect with each other, the amount of divergence between the two planes is expressed by measuring the: a. b. c. d.

Reflex angle Dihedral angle Polyhedral angle Plane angle

150. What do you think is the output or sales at which is insufficient to equal operating cost? a. b. c. d.

Breakeven point Depreciation Investment Cash flow

150. What do you think is the output or sales at which is insufficient to equal operating cost? a. b. c. d.

Breakeven point Depreciation Investment Cash flow

151. What is the estimate of assets net market value at the end of its estimated life? a. b. c. d.

Book value Depreciation Salvage value Cash flow

151. What is the estimate of assets net market value at the end of its estimated life? a. b. c. d.

Book value Depreciation Salvage value Cash flow

152. What do you think is the lessening of the value of an asset due to the decrease in the quantity available as a coal, oil and timber in forests? a. b. c. d.

Depletion Amortization Depreciation Investment

152. What do you think is the lessening of the value of an asset due to the decrease in the quantity available as a coal, oil and timber in forests? a. b. c. d.

Depletion Amortization Depreciation Investment

153. What can you say about the present worth of all depreciation over the economic life of the item? a. b. c. d.

Maintenance Capital recovery Depreciation recovery Annuity

153. What can you say about the present worth of all depreciation over the economic life of the item? a. b. c. d.

Maintenance Capital recovery Depreciation recovery Annuity

154. What do you think is the provision in the contract that indicates the possible adjustment of material cost and labor cost? a. b. c. d.

Secondary clause Specification Escalatory clause General

154. What do you think is the provision in the contract that indicates the possible adjustment of material cost and labor cost? a. b. c. d.

Secondary clause Specification Escalatory clause General

155. This is the process of determining the value of certain property for specific reasons. Guess, what is this? a. b. c. d.

Amortization Investment Appraisal Depreciation

155. This is the process of determining the value of certain property for specific reasons. Guess, what is this? a. b. c. d.

Amortization Investment Appraisal Depreciation

156. How do you call those products or services that are directly used by the people to satisfy their wants? a. b. c. d.

Consumer goods and services Producer goods and services Necessity products and services Luxury products and services

156. How do you call those products or services that are directly used by the people to satisfy their wants? a. b. c. d.

Consumer goods and services Producer goods and services Necessity products and services Luxury products and services

157. These are uses to produce consumer good and services. Guess, what are these? a. b. c. d.

Consumer goods and services Producer goods and services Necessity products and services Luxury products and services

157. These are uses to produce consumer good and services. Guess, what are these? a. b. c. d.

Consumer goods and services Producer goods and services Necessity products and services Luxury products and services

158. What do you think are those products and services that are required to support human life and activities that will be purchased in somewhat the same quantity even though the price varies considerably? a. b. c. d.

Consumer goods and services Producer goods and services Necessity products and services Luxury products and services

158. What do you think are those products and services that are required to support human life and activities that will be purchased in somewhat the same quantity even though the price varies considerably? a. b. c. d.

Consumer goods and services Producer goods and services Necessity products and services Luxury products and services

159. How do you call a cylinder with elliptical cross section? a. b. c. d.

Ellipsoid Cylindroid Hyperboloid Paraboloid

159. How do you call a cylinder with elliptical cross section? a. b. c. d.

Ellipsoid Cylindroid Hyperboloid Paraboloid

160. How do you call a market whereby there is only one buyer of an item for which there are no goods for substitutes? a. b. c. d.

Monopoly Monopsony Oligopoly Oligopsony

160. How do you call a market whereby there is only one buyer of an item for which there are no goods for substitutes? a. b. c. d.

Monopoly Monopsony Oligopoly Oligopsony

161. Which statement about a charge placed on a dielectric material is true? a. The charge increases the conductivity of the material b. The charge is confined to the region in which the charge was placed. c. The charge is immediately lost to the atmosphere. d. The charge is instantly carried to the material’s surface.

161. Which statement about a charge placed on a dielectric material is true? a. The charge increases the conductivity of the material b. The charge is confined to the region in which the charge was placed. c. The charge is immediately lost to the atmosphere. d. The charge is instantly carried to the material’s surface.

162. Which of the following is not a property of magnetic lines? a. b. c. d.

Magnetic field lines have no beginnings and no ends. The lines cross themselves only at right angles. The line intersect surfaces of equal intensity at right angles. The field is stronger where the lines are closer together.

162. Which of the following is not a property of magnetic lines? a. b. c. d.

Magnetic field lines have no beginnings and no ends. The lines cross themselves only at right angles. The line intersect surfaces of equal intensity at right angles. The field is stronger where the lines are closer together.

163. Tesla is a unit of which of the following? a. b. c. d.

Magnetic induction Inductance Capacitance Magnetic flux

163. Tesla is a unit of which of the following? a. b. c. d.

Magnetic induction Inductance Capacitance Magnetic flux

164. What is a pole pitch? a. b. c. d.

The angle at which the pole windings are wound. The space on the stator allocated to two poles. The space on the stator allocated to one pole. The mica used to insulate the poles from each other.

164. What is a pole pitch? a. b. c. d.

The angle at which the pole windings are wound. The space on the stator allocated to two poles. The space on the stator allocated to one pole. The mica used to insulate the poles from each other.

165. How do you call a polygon with 10,000 sides? a. b. c. d.

Hectogon Chilliagon Myriagon Octacontagon

165. How do you call a polygon with 10,000 sides? a. b. c. d.

Hectogon Chilliagon Myriagon Octacontagon

166. Any line segment joining a vertex of a triangle to a point on the opposite side is called as: a. b. c. d.

Newton line Secant Cevian Euclidian line

166. Any line segment joining a vertex of a triangle to a point on the opposite side is called as: a. b. c. d.

Newton line Secant Cevian Euclidian line

167. It is any influence capable of producing a change in the motion of the object. a. b. c. d.

Force Acceleration Friction Velocity

167. It is any influence capable of producing a change in the motion of the object. a. b. c. d.

Force Acceleration Friction Velocity

168. How do you call the amount needed at the beginning of operations and permits the enterprise to begin functioning before it receives any income from the sales of its product and service. a. b. c. d.

Initial working capital Regular working capital Equity Annuity

168. How do you call the amount needed at the beginning of operations and permits the enterprise to begin functioning before it receives any income from the sales of its product and service. a. b. c. d.

Initial working capital Regular working capital Equity Annuity

169. In the problem of writing the equation of a certain curve with respect to another axes in which the new axes are parallel to the original axes and similarly directed is known as: a. b. c. d.

Translation of axes Reversal of axes Notation of axes Darsho’s axes

169. In the problem of writing the equation of a certain curve with respect to another axes in which the new axes are parallel to the original axes and similarly directed is known as: a. b. c. d.

Translation of axes Reversal of axes Notation of axes Darsho’s axes

170. How do you call a ring shaped surface or solid obtained by rotating a circle about a coplanar line that does not intersect? a. b. c. d.

Torus Annulus Circoloid Darsho’s annular

170. How do you call a ring shaped surface or solid obtained by rotating a circle about a coplanar line that does not intersect? a. b. c. d.

Torus Annulus Circoloid Darsho’s annular

171. If the eccentricity is less than one, the curve is known as: a. b. c. d.

Ellipse Hyperbola Parabola Circle

171. If the eccentricity is less than one, the curve is known as: a. b. c. d.

Ellipse Hyperbola Parabola Circle

172. What can you say to the following statement: “the volume of a circular cylinder is equal to the product of its base and altitude”? a. b. c. d.

Postulate Corollary Theorem Axiom

172. What can you say to the following statement: “the volume of a circular cylinder is equal to the product of its base and altitude”? a. b. c. d.

Postulate Corollary Theorem Axiom

173. What is the study of the properties of figures of three dimensions? a. b. c. d.

Physics Solid geometry Plane geometry Trigonometry

173. What is the study of the properties of figures of three dimensions? a. b. c. d.

Physics Solid geometry Plane geometry Trigonometry

174. A type of bond, without any security behind them except a promise to pay by the issuing corporation is known as: a. b. c. d.

Collateral trust bond Mortgage bond Debenture bond Joint bond

174. A type of bond, without any security behind them except a promise to pay by the issuing corporation is known as: a. b. c. d.

Collateral trust bond Mortgage bond Debenture bond Joint bond

175. A situation whereby payment is made for work not done. The term also applies to the case where more workers are used than a reasonable requirement for efficient operation. a. b. c. d.

Downtime pay Check-in-pay Feather bidding Moon lighting

175. A situation whereby payment is made for work not done. The term also applies to the case where more workers are used than a reasonable requirement for efficient operation. a. b. c. d.

Downtime pay Check-in-pay Feather bidding Moon lighting

176. The difference between what a negotiable paper is worth in the future and its present worth is known as: a. b. c. d.

Book value Salvage value Sunk value Discount

176. The difference between what a negotiable paper is worth in the future and its present worth is known as: a. b. c. d.

Book value Salvage value Sunk value Discount

177. The temperature to which the air must be cooled at constant temperature to produce saturation. a. b. c. d.

Absolute temperature 273 K Dew point Critical temperature

177. The temperature to which the air must be cooled at constant temperature to produce saturation. a. b. c. d.

Absolute temperature 273 K Dew point Critical temperature

178. A net force that will give to a mass of one gram an acceleration of 1 cm/s^2 is said to be: a. b. c. d.

Newton Darsho Ergs Dyne

178. A net force that will give to a mass of one gram an acceleration of 1 cm/s^2 is said to be: a. b. c. d.

Newton Darsho Ergs Dyne

179. A change in position, specified by a length and a direction is said to be: a. b. c. d.

Displacement Acceleration Velocity Dynamic equilibrium

179. A change in position, specified by a length and a direction is said to be: a. b. c. d.

Displacement Acceleration Velocity Dynamic equilibrium

180. The process of one substance mixing with another because of molecular motion is known as: a. b. c. d.

Adhesion Diffusion Cohesion Confusion

180. The process of one substance mixing with another because of molecular motion is known as: a. b. c. d.

Adhesion Diffusion Cohesion Confusion

181. Those cost that arise at the result of a change in operation or policy or it is the ratio of a small increment cost and a small increment of output. a. b. c. d.

Increment cost Differential cost Marginal cost Promotion cost

181. Those cost that arise at the result of a change in operation or policy or it is the ratio of a small increment cost and a small increment of output. a. b. c. d.

Increment cost Differential cost Marginal cost Promotion cost

182. The index that gives the rate earned per share based on current price per share is called as: a. b. c. d.

Price-earning ratio Operating expense ratio Dividend yield Equity ratio

182. The index that gives the rate earned per share based on current price per share is called as: a. b. c. d.

Price-earning ratio Operating expense ratio Dividend yield Equity ratio

183. A regular polyhedron having 12 regular pentagons is called as: a. b. c. d.

Octahedron Dodecahedron Tetrahedron Darshohedron

183. A regular polyhedron having 12 regular pentagons is called as: a. b. c. d.

Octahedron Dodecahedron Tetrahedron Darshohedron

184. Two angles whose sum is 360 deg. is called: a. b. c. d.

Explementary angles Complimentary angles Supplementary angles Elementary angles

184. Two angles whose sum is 360 deg. is called: a. b. c. d.

Explementary angles Complimentary angles Supplementary angles Elementary angles

185. What is an annuity? a. b. c. d.

The future worth of a present amount A series of uniform amounts over a period of time The present worth of a future amount. An annual repayment of a loan.

185. What is an annuity? a. b. c. d.

The future worth of a present amount A series of uniform amounts over a period of time The present worth of a future amount. An annual repayment of a loan.

186. When using net present worth calculations to compare two projects, which of the following could invalidate the calculation? a. b. c. d.

Use of the same discount rate for each period. Differences in the magnitude of the projects. Evaluating over different time periods. Mutually exclusive projects.

186. When using net present worth calculations to compare two projects, which of the following could invalidate the calculation? a. b. c. d.

Use of the same discount rate for each period. Differences in the magnitude of the projects. Evaluating over different time periods. Mutually exclusive projects.

187. Which of the following is true regarding the minimum attractive rate of return used in judging proposed investments? a. It is smaller than the interest rate used to discount expected cash flows from investments. b. It is frequent a policy decision made by an organization’s management. c. It is larger than the interest rate used to discount expected cash flow from investments. d. It is not relevant in engineering economy studies.

187. Which of the following is true regarding the minimum attractive rate of return used in judging proposed investments? a. It is smaller than the interest rate used to discount expected cash flows from investments. b. It is frequent a policy decision made by an organization’s management. c. It is larger than the interest rate used to discount expected cash flow from investments. d. It is not relevant in engineering economy studies.

188. How do you classify work-in process? a. b. c. d.

A liability An expense A revenue An asset

188. How do you classify work-in process? a. b. c. d.

A liability An expense A revenue An asset

189. A leak from a faucet comes out in separate drops. Which of the following is the main cause of this phenomenon? a. b. c. d.

Air resistance Gravity Surface tension Viscosity of the fluid

189. A leak from a faucet comes out in separate drops. Which of the following is the main cause of this phenomenon? a. b. c. d.

Air resistance Gravity Surface tension Viscosity of the fluid

190. Which of the following elements and compounds is unstable in its pure form? a. b. c. d.

Hydrochloric acid Carbon dioxide Sodium Helium

190. Which of the following elements and compounds is unstable in its pure form? a. b. c. d.

Hydrochloric acid Carbon dioxide Sodium Helium

191. What is the actual geometric shape of the methane molecule? a. b. c. d.

Tetrahedral Pyramidal Square planar Linear

191. What is the actual geometric shape of the methane molecule? a. b. c. d.

Tetrahedral Pyramidal Square planar Linear

192. A substance is oxidized when which of the following occurs? a. b. c. d.

It losses electrons. It becomes more negative. It gives off heat. It absorbs energy.

192. A substance is oxidized when which of the following occurs? a. b. c. d.

It losses electrons. It becomes more negative. It gives off heat. It absorbs energy.

193. Reactions generally proceed faster at higher temperatures because of which of the following? a. b. c. d.

The molecules are less energetic. The activation energy is less. The molecules collide more frequently. Both b and c.

193. Reactions generally proceed faster at higher temperatures because of which of the following? a. b. c. d.

The molecules are less energetic. The activation energy is less. The molecules collide more frequently. Both b and c.

194. What are the valence electrons? a. b. c. d.

The electrons of complete quantum shells. Electrons with positive charge. The outer-shell electrons. The k-quantum shell electrons.

194. What are the valence electrons? a. b. c. d.

The electrons of complete quantum shells. Electrons with positive charge. The outer-shell electrons. The k-quantum shell electrons.

195. How do you call the strong bond between hydrogen atoms? a. b. c. d.

Ionic and metallic bonds The covalent bond The ionic bond The metallic bond.

195. How do you call the strong bond between hydrogen atoms? a. b. c. d.

Ionic and metallic bonds The covalent bond The ionic bond The metallic bond.

196. What are Van der Waals forces? a. b. c. d.

Forces present only in gases. Forces not present in liquids. Primary bonds between atoms. Weak secondary bonds between atoms.

196. What are Van der Waals forces? a. b. c. d.

Forces present only in gases. Forces not present in liquids. Primary bonds between atoms. Weak secondary bonds between atoms.

197. What do you call the replacement of the original cost of an investment? a. b. c. d.

Pay off Return on investment Breakeven Capital recovery

197. What do you call the replacement of the original cost of an investment? a. b. c. d.

Pay off Return on investment Breakeven Capital recovery

198. If f” (x1) = 0, then the point (x1, y1) is called: a. b. c. d.

Minimum point Maximum point Inflection point Critical point

198. If f” (x1) = 0, then the point (x1, y1) is called: a. b. c. d.

Minimum point Maximum point Inflection point Critical point

199. Adding more solute to an already saturated solution will cause the excess solute to settle to the bottom of the container. What is this process called? a. b. c. d.

Precipitation Hydration Dehydration Saturation

199. Adding more solute to an already saturated solution will cause the excess solute to settle to the bottom of the container. What is this process called? a. b. c. d.

Precipitation Hydration Dehydration Saturation

200. The length of time at which the original cost of capital used to purchase a unit has already been recovered. a. b. c. d.

Economic life Write off period Physical life Salvage life

200. The length of time at which the original cost of capital used to purchase a unit has already been recovered. a. b. c. d.

Economic life Write off period Physical life Salvage life

201. The actual interest earned by a given principal is known as: a. b. c. d.

Compound interest Simple interest Effective interest Nominal interest

201. The actual interest earned by a given principal is known as: a. b. c. d.

Compound interest Simple interest Effective interest Nominal interest

202. A book is at rest on top of a table. Which of the following is correct? a. b. c. d.

There is no force acting on the book. The book has no inertia. There is no force acting on the table. The book is in equilibrium.

202. A book is at rest on top of a table. Which of the following is correct? a. b. c. d.

There is no force acting on the book. The book has no inertia. There is no force acting on the table. The book is in equilibrium.

203. The property of a moving object to continue moving is what Galileo called: a. b. c. d. e.

Velocity Speed Acceleration Inertia Direction

203. The property of a moving object to continue moving is what Galileo called: a. b. c. d. e.

Velocity Speed Acceleration Inertia Direction

204. According to Newton’s First Law of Motion, a. An object at rest eventually begins to move b. An object in motion moves in a parabolic trajectory unless acted upon by a net force. c. An object at rest always remain at rest. d. An object at rest remains at rest unless acted upon by a net force.

204. According to Newton’s First Law of Motion, a. An object at rest eventually begins to move b. An object in motion moves in a parabolic trajectory unless acted upon by a net force. c. An object at rest always remain at rest. d. An object at rest remains at rest unless acted upon by a net force.

205. If an object is moving, then the magnitude of its ____ cannot be zero. a. b. c. d.

Velocity Speed Acceleration A and B

205. If an object is moving, then the magnitude of its ____ cannot be zero. a. b. c. d.

Velocity Speed Acceleration A and B

206. A body drop in free fall a vacuum, a. Will drop the same distance during each second of its fall. b. Will have the same average speed during each second of its fall. c. Will have a constant velocity during each second of its fall. d. Will not be accelerated during its fall. e. Will have the same acceleration during second of it fall.

206. A body drop in free fall a vacuum, a. Will drop the same distance during each second of its fall. b. Will have the same average speed during each second of its fall. c. Will have a constant velocity during each second of its fall. d. Will not be accelerated during its fall. e. Will have the same acceleration during second of it fall.

207. A bowling ball at a height of 36 meters above the ground is falling vertically at a rate of 12 meters per second. Which of these best describes its fate? a. It will hit the ground in exactly three seconds at a speed of 12 m/s. b. It will hit the ground in less than three seconds at a speed greater than 12 m/s. c. It will hit the ground in more than three seconds at a speed less than 12 m/s. d. It will hit the ground in less than three seconds at a speed less than 12 m/s.

207. A bowling ball at a height of 36 meters above the ground is falling vertically at a rate of 12 meters per second. Which of these best describes its fate? a. It will hit the ground in exactly three seconds at a speed of 12 m/s. b. It will hit the ground in less than three seconds at a speed greater than 12 m/s. c. It will hit the ground in more than three seconds at a speed less than 12 m/s. d. It will hit the ground in less than three seconds at a speed less than 12 m/s.

208. The speedometer in your car tells you the ____ of your car. a. b. c. d. e.

Velocity Average speed Acceleration Inertia Instantaneous speed

208. The speedometer in your car tells you the ____ of your car. a. b. c. d. e.

Velocity Average speed Acceleration Inertia Instantaneous speed

209. To report the ____ of an object, we must specify both its speed and its direction. a. b. c. d. e.

Velocity Speed Acceleration Inertia Direction

209. To report the ____ of an object, we must specify both its speed and its direction. a. b. c. d. e.

Velocity Speed Acceleration Inertia Direction

210. The ____ of an object on the Earth’s surface are directly proportional to each other. a. b. c. d. e.

Velocity and force Speed and velocity Acceleration and mass Mass and weight Direction and weight

210. The ____ of an object on the Earth’s surface are directly proportional to each other. a. b. c. d. e.

Velocity and force Speed and velocity Acceleration and mass Mass and weight Direction and weight

211. The moon’s gravity is 1/6 of the Earth’s gravity. The weight of a bowling ball on the Earth would be ____ its weight on the moon. a. b. c. d.

Equal to 1/6 of 6 times 36 times

211. The moon’s gravity is 1/6 of the Earth’s gravity. The weight of a bowling ball on the Earth would be ____ its weight on the moon. a. b. c. d.

Equal to 1/6 of 6 times 36 times

212. A falling object is said to reach terminal speed, a. b. c. d.

When it lands on the ground. When its air resistance equals the force of gravity on it. When there is no air resistance acting on it. When there is no gravitational force acting on it.

212. A falling object is said to reach terminal speed, a. b. c. d.

When it lands on the ground. When its air resistance equals the force of gravity on it. When there is no air resistance acting on it. When there is no gravitational force acting on it.

213. For every action there is an equal and opposite reaction. This is a statement of, a. b. c. d.

Newton’s First Law of Motion Newton’s Second Law of Motion Newton’s Third Law of Motion Newton’s Law of Action

213. For every action there is an equal and opposite reaction. This is a statement of, a. b. c. d.

Newton’s First Law of Motion Newton’s Second Law of Motion Newton’s Third Law of Motion Newton’s Law of Action

214. _____ are examples of vector quantities. a. b. c. d.

Velocity and acceleration Volume and velocity Acceleration and mass Mass and volume

214. _____ are examples of vector quantities. a. b. c. d.

Velocity and acceleration Volume and velocity Acceleration and mass Mass and volume

215. A green ball moving to the right at 3 m/s strikes a yellow ball moving to the left at 2 m/s. if the balls are equally massive and the collision is elastic, a. The green ball will move to the left at 3 m/s while the yellow ball moves right at 2 m/s. b. The green ball will move to the left at 2 m/s while the yellow ball moves right at 3 m/s. c. The green ball will stop while the yellow ball moves left at 2 m/s. d. Both balls will stick together and move to the right at 1 m/s.

215. A green ball moving to the right at 3 m/s strikes a yellow ball moving to the left at 2 m/s. if the balls are equally massive and the collision is elastic, a. The green ball will move to the left at 3 m/s while the yellow ball moves right at 2 m/s. b. The green ball will move to the left at 2 m/s while the yellow ball moves right at 3 m/s. c. The green ball will stop while the yellow ball moves left at 2 m/s. d. Both balls will stick together and move to the right at 1 m/s.

216. The buoyant force on a block of wood floating in water, a. Is equal to the weight of a volume of water with the same volume as the wood. b. Is equal to the weight of the wood. c. Is greater than the weight of the wood. d. Is less than the weight of the wood.

216. The buoyant force on a block of wood floating in water, a. Is equal to the weight of a volume of water with the same volume as the wood. b. Is equal to the weight of the wood. c. Is greater than the weight of the wood. d. Is less than the weight of the wood.

217. An object with a mass of 1 kg displaces 700 ml of water. Which of the following is true? a. b. c. d.

The weight of this object is 10 N. The weight of this object is 7 N. The weight of this object is 3 N. The weight of this object is 17 N.

217. An object with a mass of 1 kg displaces 700 ml of water. Which of the following is true? a. b. c. d.

The weight of this object is 10 N. The weight of this object is 7 N. The weight of this object is 3 N. The weight of this object is 17 N.

218. An object with a mass of 1 kg displaces 0.6 kg of water. Which of the following is true? a. b. c. d.

The buoyant force on this object is 10 N. The buoyant force on this object is 6 N. The density of this object is 3 N. The weight of this object is 17 N.

218. An object with a mass of 1 kg displaces 0.6 kg of water. Which of the following is true? a. b. c. d.

The buoyant force on this object is 10 N. The buoyant force on this object is 6 N. The density of this object is 3 N. The weight of this object is 17 N.

219. The water pressure in a lake behind a dam depends on, a. The volume of lake water behind the dam. b. The surface area of the lake. c. The distance from the dam at which the pressure is measured. d. The depth below the surface at which the pressure is measured.

219. The water pressure in a lake behind a dam depends on, a. The volume of lake water behind the dam. b. The surface area of the lake. c. The distance from the dam at which the pressure is measured. d. The depth below the surface at which the pressure is measured.

220. When air is removed from a metal can be vacuum, the can buckles inwards and is crushed. This occurs because a. The air pressure on the inside of the can is greater than the air pressure on the outside of the can. b. The air pressure on the outside of the can is greater than air pressure on the inside of the can. c. The loss air molecules from inside the can weakens the metal. d. The opposite sides of the empty can strongly attract each other.

220. When air is removed from a metal can be vacuum, the can buckles inwards and is crushed. This occurs because a. The air pressure on the inside of the can is greater than the air pressure on the outside of the can. b. The air pressure on the outside of the can is greater than air pressure on the inside of the can. c. The loss air molecules from inside the can weakens the metal. d. The opposite sides of the empty can strongly attract each other.

221. Bernoulli’s principle explains why, a. b. c. d.

A hot air balloon rises. Liquid rises in a drinking straw Airplanes fly Dead fish float

221. Bernoulli’s principle explains why, a. b. c. d.

A hot air balloon rises. Liquid rises in a drinking straw Airplanes fly Dead fish float

222. In order to decrease the pressure in an automobile tire, one normally a. b. c. d.

Decrease the temperature of the tire. Increases the volume of the tire. Increases the density of air in the tire. Decreases the number of air molecules in the tire.

222. In order to decrease the pressure in an automobile tire, one normally a. b. c. d.

Decrease the temperature of the tire. Increases the volume of the tire. Increases the density of air in the tire. Decreases the number of air molecules in the tire.

223. It is the branch of mathematics which deals with the study of formal manipulations of equations involving symbols and numbers. a. b. c. d.

Arithmetic Algebra Plane geometry Trigonometry

223. It is the branch of mathematics which deals with the study of formal manipulations of equations involving symbols and numbers. a. b. c. d.

Arithmetic Algebra Plane geometry Trigonometry

224. Is an entity describing the quantity or position of a mathematical object or extensions of these concepts. a. b. c. d.

Exponent Number Cardinal number Ordinal number

224. Is an entity describing the quantity or position of a mathematical object or extensions of these concepts. a. b. c. d.

Exponent Number Cardinal number Ordinal number

225. It describes the size or quantity of the collections of objects like 1,2,3….1000 and so on & so forth. a. b. c. d.

Exponent Number Cardinal number Ordinal number

225. It describes the size or quantity of the collections of objects like 1,2,3….1000 and so on & so forth. a. b. c. d.

Exponent Number Cardinal number Ordinal number

226. It refer to the position relative to an ordering such as first, second, third etc. a. b. c. d.

Exponent Number Cardinal number Ordinal number

226. It refer to the position relative to an ordering such as first, second, third etc. a. b. c. d.

Exponent Number Cardinal number Ordinal number

227. It is the sum of real and imaginary numbers which expressed in “x+yi”. a. b. c. d.

Real number Irrational number Rational number Complex number

227. It is the sum of real and imaginary numbers which expressed in “x+yi”. a. b. c. d.

Real number Irrational number Rational number Complex number

228. Is the number that cannot be expressed into ratio of two integers. a. b. c. d.

Real number Irrational number Rational number Complex number

228. Is the number that cannot be expressed into ratio of two integers. a. b. c. d.

Real number Irrational number Rational number Complex number

229. Is any positive integer (excluding 1) having no integral factors other than itself and unity. a. b. c. d.

Imaginary number Real number Ordinal number Prime number

229. Is any positive integer (excluding 1) having no integral factors other than itself and unity. a. b. c. d.

Imaginary number Real number Ordinal number Prime number

230. What do you call this laws or properties of equality in algebra, xy = yx ? a. b. c. d.

Commutative Law of Multiplication Associative Law of Multiplication Left Distributive Law Right Distributive law

230. What do you call this laws or properties of equality in algebra, xy = yx ? a. b. c. d.

Commutative Law of Multiplication Associative Law of Multiplication Left Distributive Law Right Distributive law

231. What do you call this laws or properties of equality in algebra, x + y = y + x ? a. b. c. d.

Commutative Law of Addition Associative Law of Addition Left Distributive Law Right Distributive law

231. What do you call this laws or properties of equality in algebra, x + y = y + x ? a. b. c. d.

Commutative Law of Addition Associative Law of Addition Left Distributive Law Right Distributive law

232. What do you call this laws or properties of equality in algebra, (x+y) + z = x + (y+z) ? a. b. c. d.

Commutative Law of Multiplication Associative Law of Addition Left Distributive Law Commutative Law of Addition

232. What do you call this laws or properties of equality in algebra, (x+y) + z = x + (y+z) ? a. b. c. d.

Commutative Law of Multiplication Associative Law of Addition Left Distributive Law Commutative Law of Addition

233. What do you call this laws or properties of equality in algebra, (xy)z = x(yz) ? a. b. c. d.

Commutative Law of Multiplication Associative Law of Multiplication Left Distributive Law Right Distributive law

233. What do you call this laws or properties of equality in algebra, (xy)z = x(yz) ? a. b. c. d.

Commutative Law of Multiplication Associative Law of Multiplication Left Distributive Law Right Distributive law

234. What do you call this laws or properties of equality in algebra, x + 0 = x ? a. b. c. d.

Additive Inverse Property Additive Identity Property Reflexive Property Symmetric Property

234. What do you call this laws or properties of equality in algebra, x + 0 = x ? a. b. c. d.

Additive Inverse Property Additive Identity Property Reflexive Property Symmetric Property

235. What do you call this laws or properties of equality in algebra, x + (-x) = 0 ? a. b. c. d.

Additive Inverse Property Additive Identity Property Reflexive Property Symmetric Property

235. What do you call this laws or properties of equality in algebra, x + (-x) = 0 ? a. b. c. d.

Additive Inverse Property Additive Identity Property Reflexive Property Symmetric Property

236. What do you call this laws or properties of equality in algebra, x = x ? a. b. c. d.

Additive Inverse Property Additive Identity Property Reflexive Property Symmetric Property

236. What do you call this laws or properties of equality in algebra, x = x ? a. b. c. d.

Additive Inverse Property Additive Identity Property Reflexive Property Symmetric Property

237. What do you call this laws or properties of equality in algebra, x = y and y = x ? a. b. c. d.

Additive Inverse Property Additive Identity Property Reflexive Property Symmetric Property

237. What do you call this laws or properties of equality in algebra, x = y and y = x ? a. b. c. d.

Additive Inverse Property Additive Identity Property Reflexive Property Symmetric Property

238. It is a sequence of numbers or quantities in which there is always the same relation between each quantity and the one succeeding it. a. b. c. d.

Geometry Progression Probability Rational number

238. It is a sequence of numbers or quantities in which there is always the same relation between each quantity and the one succeeding it. a. b. c. d.

Geometry Progression Probability Rational number

239. It is a sequence of numbers in which each term (except the first term is obtained from the previous by adding a constant known as the common difference. a. b. c. d.

Geometric progression Arithmetic progression Harmonic progression Permutation

239. It is a sequence of numbers in which each term (except the first term is obtained from the previous by adding a constant known as the common difference. a. b. c. d.

Geometric progression Arithmetic progression Harmonic progression Permutation

240. It is a sequence of numbers, each of which each, after the first is obtained by multiplying the preceding term by a fixed number called the common ratio. known as the common difference. a. b. c. d.

Geometric progression Arithmetic progression Harmonic progression Permutation

240. It is a sequence of numbers, each of which each, after the first is obtained by multiplying the preceding term by a fixed number called the common ratio. known as the common difference. a. b. c. d.

Geometric progression Arithmetic progression Harmonic progression Permutation

241. It is a sequence of numbers in which the reciprocals form an arithmetic progression. a. b. c. d.

Geometric progression Arithmetic progression Harmonic progression Permutation

241. It is a sequence of numbers in which the reciprocals form an arithmetic progression. a. b. c. d.

Geometric progression Arithmetic progression Harmonic progression Permutation

242. It is an ordered arrangement of any element in a set. a. b. c. d.

Probability Arithmetic progression Combination Permutation

242. It is an ordered arrangement of any element in a set. a. b. c. d.

Probability Arithmetic progression Combination Permutation

243. It is an equation when the number of equations is less than the number of unknown. a. b. c. d.

Deophantine Equation Quadratic Equation Darsho’s Equation Theory of Sets

243. It is an equation when the number of equations is less than the number of unknown. a. b. c. d.

Deophantine Equation Quadratic Equation Darsho’s Equation Theory of Sets

244. Who was the first person of whose systematic use of trigonometry which have documentary evidence. a. b. c. d.

Euclid Hipparchus Galileo Aristotle

244. Who was the first person of whose systematic use of trigonometry which have documentary evidence. a. b. c. d.

Euclid Hipparchus Galileo Aristotle

245. It is the space between intersecting rays or lines. a. b. c. d.

Line Revolution Angle Side

245. It is the space between intersecting rays or lines. a. b. c. d.

Line Revolution Angle Side

246. Are angles which are non-right and nonstraight such as acute angles and obtuse angles. a. b. c. d.

Right angle Oblique angles Reflex angles Darsho’s angle

246. Are angles which are non-right and nonstraight such as acute angles and obtuse angles. a. b. c. d.

Right angle Oblique angles Reflex angles Darsho’s angle

247. It is a triangle with two sides equal. a. b. c. d.

Scalene triangle Oblique triangle Isosceles triangle Equilateral triangle

247. It is a triangle with two sides equal. a. b. c. d.

Scalene triangle Oblique triangle Isosceles triangle Equilateral triangle

248. It is a triangle with no equal sides. a. b. c. d.

Scalene triangle Oblique triangle Isosceles triangle Equilateral triangle

248. It is a triangle with no equal sides. a. b. c. d.

Scalene triangle Oblique triangle Isosceles triangle Equilateral triangle

249. It is a triangle without a 90 deg. angle. a. b. c. d.

Scalene triangle Oblique triangle Isosceles triangle Equilateral triangle

249. It is a triangle without a 90 deg. angle. a. b. c. d.

Scalene triangle Oblique triangle Isosceles triangle Equilateral triangle

250. It is a triangle that all sides are equal. a. b. c. d.

Scalene triangle Oblique triangle Isosceles triangle Equilateral triangle

250. It is a triangle that all sides are equal. a. b. c. d.

Scalene triangle Oblique triangle Isosceles triangle Equilateral triangle