review a

MULTIPLE CHOICE

Questions in

GENERAL ENGINEERING CERTII-CONSOLIDATED ENGINEERING REVIEW & TRAINING INSTITUTE, INC.

Encoded by:

VILLAMAYOR, DON RYAN M.

ECE-4/2006103613

ECE003/C12

GENERAL ENGINEERING I

1. A man borrows P6, 400 from a loan association. In repaying this dept, he has to pay P400 at the end of every 3 months on the principal and a simple interest of 16% on the principal outstanding at that time. Determine the total amount he has paid after paying all his debt.

a. P 7490b. P 8576c. P12 400d. P6850

2. If the sum of P12 000 is deposited in an account earning interest at a rate of 9% compounded quarterly, what will it become at the end of 8 years?

a. P24, 457.24b. P57, 420.42c. P42, 516.12d. P30, 632.50

3. When one of the factors of production is fixed in quantity or is difficult to increase, increasing the other factors of production will result in a less than proportionate increase in output. This law is _________.

a. Law of diminishing Returnb. Law of Diminishing Utilityc. Law of Supplyd. Law of Demand

4. It occurs when the mathematical product of price and volume of sales remains constant regardless of any change in price.

a. Elastic demandb. Inelastic demandc. Unitary demandd. Utility

5. It exists when a certain product or service is offered by many suppliers and there is no restriction against other suppliers from entering the market. This is _________.

a. Monopolyb. Competitionc. Oligopolyd. Anomaly

6. It is an annuity where the payment period extends forever or in which the periodic payment continue indefinitely.

a. Annuity dueb. Deferred annuity

c. Ordinary annuityd. Perpetuity

7. A jeepney worth P 318 650 cash could also be purchased with a down payment of P 127 460 and 24 monthly installments of P11, 320 at the end of each month. Determine the nominal rate of interest.

a. 36.3% compounded monthlyb. 30.5% compounded monthlyc. 25.15% compounded monthlyd. 32.5% compounded monthly

8. A businessman bought a communication equipment costing P25000 payable in 10 semi-annual payments, each installment payable at the beginning of each period. If rate of interest is 26% compounded semi-annually, what is the amount of each installment?

a. P 4277.70b. P 4770.20c. P 4777.20d. P 4077.20

9. It is the span of life of an equipment during which it produces the product it is designed to produce a profit.

a. Write off periodb. Physical lifec. Economic lifed. Perpetual life

10. It includes the original purchase price, freight and transportation charges, installation expenses, initial taxes and permits to operate and all other expenses needed to put the equipment into operation.

a. Depreciation costb. First costc. Salvage costd. Scrap cost

11. It is a depreciation method whereby the decrease in value of the unit is constant each year.

a. Matheson Formulab. Straight Line methodc. SYD Methodd. Sinking Fund Method

12. A certain company makes it a policy that for any pieces of equipment, the annual depreciation cost should not exceed 10% of the original cost at any time with no salvage value. Determine the length of the service life necessary if the depreciation method is straight line.

a. 8 yrsb. 12 yrs

c. 10 yrsd. 6 yrs

13. A contractor imported an equipment paying P 2 500 000 to manufacturer. Freight and insurance charges amounted to P180, 000; custom’s brokers fee and arrastre services, P 85, 000; taxes, permits and installation expenses, P250, 000. The life of the unit is 10 years. Determine the book value of the unit at the end of years using sinking fund method at 8% interest. Salvage value is 10% of the first cost.

a. P 1,589,496.90b. P 1,165,430.50c. P 1,805,460.50d. None of these

14. A certain annuity pays P100 at the end of each interest per period. If the present value of the annuity is P 2, 000, and the accumulated amount is P3500. Find the nominal rate of interest if it compounds quarterly.

a. 6.45%b. 12.5%c. 10.5%d. 8.56%

15. A loan of P30000 was to be amortized by a series of 10 equal semi-annual payments, the 1st payment being made 6 months after the loan was granted. The debtor continued paying the semi-annual installments but immediately after the sixth payments he was in the position to pay the remaining balance. What single amount must be paid if the interest is 14% compounded semi-annually?

a. P 14,467.84b. P 16,750,50c. P 18,120.50d. P 12,845.60

16. It is a distinct legal entity separate from the individual who own it which can engage in practically any business transacti0on which a real person can do.

a. Sole proprietorshipb. Partnershipc. Corporationd. None of these

17. A 100 kg block of ice is released at the top of a 30 degrees incline plane 10 m above the ground. If the slight melting of the ice renders the surface frictionless, calculate the velocity at the foot of the incline plane.

a. 14.1 m/sb. 16.5 m/sc. 9.64 m/sd. 12.8 m/s

18. It is the study of the changes in the motion of rigid bodies produced by an unbalanced force system, and of the means of determining the forces required to produce any desired change in its motion.

a. Kinematicsb. Staticsc. Kineticsd. Robotics

19. A branch of mechanics which deals with the study of motion without consideration of the forces causing the motion.

a. Kinematicsb. Staticsc. Kineticsd. Robotics

20. This law states that in every action there is an opposite and equal reaction.a. Newton’s 2nd lawb. Newton’s 3rd lawc. Varignon’s theoremd. D’Alembert’s Principles

21. These are system of forces whereby all forces don’t meet even of they are extended along their line of axes.

a. Concurrent forcesb. Parallel forcesc. Forces in spaced. Non-concurrent forces

22. These are two or more forces which has the same effect as that of a single force.a. Resultantb. Equilibrantc. Componentd. Parallel

23. It is the temperature reading whereby it is the same in the Fahrenheit and Celsius scale.a. 40oCb. -50oCc. -40oCd. -10oC

24. Which of the following is not a characteristic of a force couple:a. The resultant force of a couple is zerob. The moment of a couple is independent of its distance from the moment axisc. The force couple must always be parallel with one anotherd. The force couple must be going on the same direction

25. A car staring from rest pick-up at a uniform rate and passes three electric post in succession. The post is spaced 360 cm apart along a street road. The car takes 10 seconds

to travel from the first post to the second post and takes 6 seconds to go from the 2nd to the 3rd post. Where did the car started from the first post?

a. 73.5 mb. 75.3 cmc. 57.3d. 35.7 m

26. It is the product of the mass of a body and its instantaneous velocitya. Impulseb. Momentumc. Centroidd. Moment

27. When the force is divided by the resisting area parallel to it.a. Shearing stressb. Normal stressc. Axial stressd. Bearing stress

28. A body was fired vertically upward with an initial velocity of 500 m/s from the ground. How long will it take the body to return to the ground?

a. 7.85 secondsb. 12.5 secondsc. 5.1 secondsd. 10.2 seconds

29. It is a beam where one end is fixed or restrained and the other end is simply supporteda. Simple beamb. Cantilever beamc. Propped beamd. Overhanging beam

30. The point on the beam where the shear is zeroa. Point of inflectionb. Maximum shearc. Maximum moment reactiond. Reaction

31. The shear stress of a solid circular shaft has the formula _________.a. 16T/(pi)d^2b. 16T/(pi)d^4c. 16T/(pi)d^3d. 16T/(pi)d

32. A simply supported beam carries a concentrated load of 120 kN. If the span is 8 m, the maximum moment developed is ________.

a. 240 kN-mb. 160 kN-m

c. 204 kN-md. 402 kN-m

33. A solid circular shaft is subjected to a torsion of 4775 N-m when transmitting power at 200 rpm. The transmitted power is _______.

a. 20 kWb. 200 kWc. 10 kWd. 100 kW

34. Within elastic limit, stress is directly proportional to the strain. This law is _______.a. Guy Lussac’s Lawb. Hooke’s Lawc. Van der Wall’s Lawd. Charles’ Law

35. The deformation due to the applied axial load resisted by constant area is _______.a. PL/2AEb. PL/AEc. PL2/AEd. PA/EL

36. A load consists of a triangle placed on a beam. The area of the moment diagram is ______________.

a. Rectangleb. Trianglec. 2nd degreed. 3rd degree

37. At what rpm is the ferris wheel turning when the rider feels weightless or zero gravity every time each rider is at the topmost part of the wheel 9 m in radius.

a. 8 rpmb. 12 rpmc. 10.6 rpmd. 9.97 rpm

38. A car must attain a speed of 65 kph for zero side thrust. If coefficient of friction is 0.60, what maximum safe speed at which the car can go without sliding up the curvature of the 100 m radius?

a. 100 kphb. 90 kphc. 122 kphd. 130 kph

39. It is a quantity whereby it has a magnitude and sense of direction.a. Scalar quantityb. Vector quantityc. Product

d. Difference40. A cable has its ends at the same level which are 100m away. It weighs 5 kg/m and with a

sag of 8 m at its center. The tension at the sag is ______.a. 708.25 kgb. 615.7 kgc. 781.25 kgd. 812.8 kg

41. A ball was dropped into a hard court from a height of 10 m. if coefficient of restitution is 0.95, what height will it attain on its 5th bounce?

a. 3 mb. 8 mc. 4 md. 6 m

42. Turbines are driven by water from a dam through a 60 cm diameter penstock at a total head of 100m. The available power from each tribune is _______.

a. 12.286 mWb. 18.62 mWc. 16.82 mWd. 20.56 mW

43. An object was fired at an initial velocity of 50 m/s at an inclination of 60o with the horizontal. How long did it take the object to strike the ground if it was fired at the same level with its range?

a. 12.83 secb. 10.25 secc. 8.83 secd. 9.58 sec

44. How long will it take for a 2 Hp pump to fill a cylindrical tank with water if the radius of the tank is 4 m and height is 6 m. water is pumped thru the bottom from a source 12 from the base of the tank.

a. 5.5 hrsb. 6.45 hrsc. 8.26 hrsd. 7.6 hrs

45. The moment of inertia of a triangle whose base is b and a height of h with respect to the base is ________.

a. bh3/3b. bh3/12c. bh3/36d. bh3/4

46. The force required to pull a body resting on a horizontal surface whose coefficient of friction is f is minimum when force is applied.

a. Horizontallyb. 30o

c. 45o

d. arctan f47. The energy involved due to the motion of the body is _____.

a. Potential energyb. Kinetic energyc. Work energyd. Power

48. A 2 m long uniform rod whose diameter is 4 cm is subjected to an axial tensile force of 200 kN. The young Modulus of elasticity is 100 GPa. The rod is elongated by _______.

a. 2.56 mmb. 1.38 mmc. 3.18 mmd. 3.81 mm

49. A beam of negligible weight carries a concentrated load of 60 kN applied at center in a span of 6 m. The maximum moment developed is _______.

a. 90 kN-mb. 120 kN-mc. 180 kN-md. 100 kN-m

50. The frictional force on a body is dependent on the following except:a. Degree of roughness of contract surfaceb. Area of contract surfacec. Normal forced. Weight of body

51. It represents the ownership of stockholder who has residual claim on the assets of the corporation after all the claims have been settled.

a. Preferred stockb. Common stockc. Bondd. Capital

52. This bond is without security behind it except a promise to pay by the issuing corporation.

a. Debenture bondb. Joint bondc. Lien bondd. Mortgage bond

53. These are costs which remain relatively constant regardless of any changes in operation or policy which is made.

a. Increment cost

b. Differential costc. Fixed costd. Variable cost

54. When free competition exists the price of a product will be that value where supply is equal to the demand this is __________.

a. Law of supplyb. Law of diminishing returnc. Law of supply and demandd. Law of demand

55. It occurs when there are few suppliers of the product pr service and any action taken by anyone of them will definitely affect the course of action of the others

a. Monopolyb. Competitionc. Utilityd. Oligopoly

56. It is that element of value which a business has earned through the favorable consideration and the patronage of its customers arising from its well known and well conducted policies and operations.

a. Good-will valueb. Salvage valuec. Fair valued. Book value

57. It is the sum of its cost and present worth of all costs for the replacement, operating and maintenance for a long time or forever.

a. First costb. Capitalized costc. Original costd. None of these

58. It is an annuity where the payment periods extend forever or in which the periodic payments continue indefinitely.

a. Ordinary annuityb. Annuity duec. Deferred annuityd. Perpetuity

59. The basic assumption for this method of depreciation is that the annual cost of depreciation is constant percentage of the salvage value at the beginning of the year.

a. Straight Line Methodb. Sinking Fund methodc. SYD Methodd. Matheson Formula

60. The rate of time at which the original cost or capital used to purchase a unit have already been recovered is _____.

a. Economic lifeb. Write-off periodc. Physical lifed. Salvage life

61. It is a legal distinct entity, separate from the individuals who own it, and which can engage in practically any business transaction which a real person can do.

a. Corporationb. Partnershipc. Conglomerated. Proprietorship

62. This is the level of production whereby the total income is just equal to the total expenses resulting in no profit.

a. Kelvin’s lawb. Break-even pointc. Unhealthy pointd. Minimum cost Analysis

63. Determine the exact simple interest on P 5, 000.00 from the period January 15 to June 20, 1996 if the rate of simple interest is 14%.

a. P299.18b. P303.33c. P279.82d. P309.18

64. If the sum of P12000 is deposited in an account earning interest at a rate of 9% compounded quarterly, what will it become at the end of 8 years?

a. P 20,642.50b. P 32,120.30c. P 26,132.32d. P 24,457.24

65. Find the nominal rate compounded monthly which is equivalent to 12% compounded quarterly.

a. 11.882%b. 12.6%c. 10.5%d. 12.3%

66. A certain annuity pays P80 at the end of every quarter. If the resent value of the annuity is P1200 and the accumulated amount is P2000, determine the nominal rate of interest.

a. 11.35 percentb. 9.37 percentc. 10.67 percent

d. 12.6 percent67. For its plant expansion, a company sets aside P 200,000 at the end of each year. It interest

is 8% compounded annually, how long before P 2,500,000 can be accumulated?a. 8 yrsb. 9 yrsc. 10 yrsd. 11 yrs

68. A machine has a first cost of P 130,000 and an estimated life of 15 years with a salvage value of P10, 000. Using the straight line method, find the annual depreciation charge.

a. P 8,000b. P 9,000c. P 7,000d. P 6,000

69. A telephone switchboard cable can be made up of either enameled wire or tinned wire. There are 400 soldered connections. The cost of soldering a connection on the enameled wire is P33; on tinned wire is P23. A cable made of enameled wire coast P11 per linear meter and tinned wire P15.20 per linear meter. Calculate the length of cable used so that the cost of each installation will be the same.

a. 892 mb. 726 mc. 846 md. 953 m

70. A man borrows P 10,000 from a loan association. The rate of simple interest is 15%. But the interest is to be deducted from the load at the time the money is borrowed. At the end of one year, he has to pay back P10, 000. What is the actual rate of interest?

a. 15%b. 16.5%c. 17.65%d. 18%

71. An employee obtained a loan P 100,000 at a rate of 6% compounded annually in order to build a house. How much must he pay monthly to amortize the loan within a period of 10 years?

a. P 2,040.30b. P 1,102.40c. P 1,200.50d. P 1,350.60

72. How many years will it take a unit deposit to triple if interest is 18% compounded daily.a. 6.5 yrsb. 5.8 yrsc. 6.1 yrsd. 7.2 yrs

73. It is a decrease in value due to some factors, like new models have been manufactured and shift of population.

a. Physical depreciationb. Depletionc. Functional depreciationd. Deflation

74. It is the distance from its moment of inertia axis at which the entire area can be considered as being concentrated without changing its moment of inertia.

a. Centroidb. Radius of gyrationc. Center of gravityd. Neutral axis

75. The maximum moment of simply supported beam carrying a uniform load throughout its length L and carrying a uniform load whose intensity is W/L is ____.

a. wL2/8b. wL2/12c. wL2/4d. wL2/2

76. A process of joining two or more parts by depositing fused metal from a slender rod along the joint between them and allowing it to cool, the heat of fusion being applied either by an electric arc or by an oxyacetylene torch.

a. Weldingb. Rivetingc. Solderingd. None of these

77. The shearing stress developed on a soled circular shaft whose diameter is d and subjected to a torsion T is _________.

a. 16T/d2

b. 16T/dc. 16T/d3

d. 16T/d4

78. It is the stress developed on a body when the force acting it os divided by the resisting area parallel to it.

a. Axial stressb. Shearing stressc. Bearing stressd. Compressive stress

79. A laterally supported beam 6 m long is carrying a concentrated load 30 kN applied at the middle of the beam. The maximum moment caused by this load with the weight of the beam is neglected is ________.

a. 150 kN-m

b. 280 kN-mc. 120 kN-md. 180 kN-m

80. A solid circular shaft 6 cm in diameter was stressed to 40 MPa when transmitting power at 1200 rpm. What horsepower is transmitted? G= 100 GPa.

a. 245.85 hpb. 285.75 hpc. 320.50 hpd. 296.45 hp

81. A beam carrier a 20 kN/m uniform load throughout its length. It is 30 cm wide and 40 cm deep. If it is 8 m long and neglecting its own weight, the maximum flexural stress developed is ______.

a. 25 MPab. 30 MPac. 18 MPad. 20 MPa

82. A rod tapers from a diameter of 5 cm to 2 cm in a length of 2 m. What axial tensile load can elongate the rod by 0.1mm if E=100 GPa.

a. 1309 kNb. 2050 kNc. 1200 kNd. 1500 kN

83. The moment of inertia of a triangle whose base b and height h with respect to its centroid is _____.

a. bh3/12b. bh3/30c. bh3/36d. bh3/3

84. An object was fired at an inclination of 60o with the horizontal with an initial velocity of 100 m/s/ the total time it will be in air is _______.

a. 17.66 sb. 18.5 sc. 16.4 sd. 19.2 s

85. A 6 m long beam carries a 60 kN concentrated load applied at its midspan. If bam is simply supported the maximum moment is _______.

a. 80 kN-mb. 90 kN-mc. 120 kN-md. 70 kN-m

86. It is a physical quantity that possesses both the magnitude and direction.

a. Scalar quantityb. Vector quantityc. Resultantd. Displacement

87. The product of a force and moment which tends to produce rotational motiona. Torqueb. Resultantc. Equilibrantd. Couple

88. The velocity which an object needs to overcome the gravitational force of a planet.a. Orbiting velocityb. Angular velocityc. Escape velocityd. Linear velocity

89. It is the force that opposes the relative motion of body at rest or in motion.a. Centrifugal forceb. Frictional forcec. Centripetal forced. Resultant force

90. It is a thermodynamic process where there is no change in temperaturea. Isobaric processb. Isothermal processc. Adiabatic processd. Isentropic process

91. It is the product of the force and the time during which it acts on a body.a. Impulseb. Momentumc. Workd. Power

92. The force between point charges is proportional to the product of the charges and inversely proportional with the square of the distance between them.

a. Ohm’s Lawb. Avogadro’s Lawc. Coulombs’ Lawd. Faraday’s Law

93. Which of the following is a vector quantity:a. Entropyb. Electric field intensityc. Kinetic energyd. Charge

94. Evaluate (2i-3j)(i+j-k)(3i-k)

a. 6b. 3c. 4d. 5

95. A ping pong ball was dropped from a height of 10 m into a cement slab. If coefficient of restitution is 0.95, what height does the ball attain on its 5th bounce.

a. 6.88 mb. 5.99 mc. 8 m d. 7.5 m

96. A 100 g bullet was fired into a 5 kg block suspended at the end of a 3 m long sting. Due to impact caused by bullet, the block was thrown, thus the string subtended 50o with the vertical. If the bullet was embedded on the block, find the muzzle velocity of the bullet.

a. 200.6 m/sb. 252.6 m/sc. 213.5 m/sd. 233.85 m/s

97. A block was made to slide down a 30o incline plane. If coefficient of friction between the block and the plane is 0.30, how long will it take the block to travel 20 m from the rest?

a. 5.65 sb. 4.12 sc. 3.55 sd. 6.55 s

GENERAL ENGINEERING II

1. Refers to the continuous emission of energy from the surface of all bodies.a. Convectionb. Radiationc. Conductiond. Emission

2. It is the ratio of the change in velocity that occurs within the time interval to that time interval

a. Instantaneous accelerationb. Constant accelerationc. Average accelerationd. Speed

3. It is a single force whose magnitude is equal to the resultant but oppositely directed.a. Equivalent forceb. Co-planarc. Concurrent forced. Equilibrant force

4. The discount of one unit of principal for one unit of time.a. Rate discountb. Nominal discountc. Actual discountd. Sales discount

5. An annuity whereby the payment is postponed for a certain period of time is?a. Ordinary annuityb. Suspended annuityc. Deferred annuityd. Annuity due

6. The actual interest earned by a given principal is known as?a. Compounded interestb. Nominal interestc. Simple interestd. Effective interest

7. A bond where the security behind it are the equipment of the issuing corporation.a. Debentureb. Mortgagec. Collaterald. Lien

8. Characterized by a few supplies of a product/services that the action by one will almost inevitably result in the similar action by the other.

a. Monopoly

b. Oligopolyc. Competitiond. Necessity

9. It is the worth of a property as shown on the accounting records.a. Resale valueb. Face valuec. Book valued. Written value

10. The decrease in the value of a property due to gradual extraction of its contents.a. Depreciationb. Depletionc. Devaluationd. Deviation

11. It is usually determined by a disinterested third party to establish a price good enough to both the seller and the buyer.

a. Fair valueb. Market valuec. Common valued. Safe value

12. The exclusive right of a company to provide a specific product or services in a given region of the country.

a. Outletb. Branchc. Extensiond. Franchise

13. It is the sum of the first cost and the present worth of all costs or replacement, operation and maintenance.

a. Total costb. Capitalized costc. Initial costd. Variable cost

14. A certificate of indebtedness of a corporation usually for a period not less than 10 years and guaranteed by a mortgage on certain assets of the corporation or its subsidiaries.

a. Collateralb. Bondc. Mortgaged. Contract

15. What the property is worth to the owner as an operating unit.a. Utility valueb. Present valuec. Salvage value

d. Resale value16. Occurs when a commodity or service is supplied by a number of vendors and there is

nothing to prevent additional vendors entering the market.a. Free marketb. Perfect competitionc. Open marketd. Law of supply and demand

17. In making economy studies a minimum required profit on the invested capital is included as a cost. A method called as __________.

a. Rate of returnb. Annual cost patternc. Present worth patternd. Capital cost

18. Annuity is required over 10 years to equate to a future amount of P 15, 000 with i=5%a. P 1, 192.57b. P 1, 912.75c. P 1, 219.60d. P 1, 921.65

19. A debt of P 1000 is to be paid off in 5 equal yearly payments, each combining an amortization installment and interest at 4% on the previously unpaid balance of the debt. What should be the amount of each payment?

a. P 220.50b. P 224.62c. P 242.61d. P 222.50

20. P 1000 is deposited in a bank at 7% interest. What is the value of the money after 25 years, assuming that nothing was deposited after the initial deposit?

a. P 5, 247.63b. P 5, 437.34c. P 5, 427.43d. P 5, 720.51

21. What is the interest due on a P 1500 note for 4 years and 3 month, if it bears 12% ordinary simple interest?

a. P 756b. P 765c. P 675d. P 576

22. A P 1000-bond which will mature in 10 years and with a bond rate of 10% payable annually is to be redeemed at P 1040 at the end of this period. If it is sold now at P 1,120. Determine the yield at this price.

a. 4.68%

b. 6.48%c. 8.64%d. 8.46%

23. A company sets aside P 300,000 each year as a fund for expansion. If the fund earns 9% compounded annually, determine how long will it take before a building costing P 3, 000, 000 can be built?

a. 7.34 yearsb. 7.44 yearsc. 7.20 yearsd. 7.54 years

24. A man sold 7 more than 5/8 of his load of apple, after which he had 9 less than 2/5 of his original load left. What was the original load?

a. 80b. 70c. 60d. 90

25. The sum of the digit of the 3-digit number is 11. If we interchange the first and the last digits, the new number is greater than the original number by 594. If we interchange the last two digits of the new number, the resulting number is greater than the original by 576. Find the original number.

a. 137b. 147c. 127d. 157

26. In how many minutes after 2 o’clock will the hands a clock first be at right angle to each other?

a. 27 3/11b. 23 7/11c. 11 3/7d. 3 11/27

27. A train an hour after starting, meets an accident which delayed the trip for one hour, after which it proceeds at 3/5 of its former rate and arrives 3 hrs after time. Had the incident happened 50 km further out the line, it would have arrived 3/2 hrs sooner. Find the length of the journey?

a. 98.88 kmb. 88.88 kmc. 78 kmd. 68.88 km

28. A boat can go 12 kph in still water. Going full sped it goes 25 km upstream in the same time it takes it to go 35 km downstream. What is the rate of the current?

a. 1.5 kph

b. 2.5 kphc. 2 kphd. 2.75 kph

29. Which of the following is NOT a measure of central tendency?a. Arithmetic meanb. Medianc. Root mean squared. Range

30. If Jun is 10% taller than Rene and Rene is 10% taller than Daf, then Jun is taller than Daf by __ %

a. 18%b. 19%c. 23%d. 21%

31. Find the standard deviation of 11, 13, 16, 18, 20 and 22a. 3.82b. 3.72c. 3.52d. 3.62

32. If ¾ = 1 + x + x^2 + x^3…., find the value of x?a. -1/2b. ½c. -1/3d. 1/3

33. In statistics, the standard deviation means?a. Central tendencyb. Dispersionc. Distributiond. Frequency

34. If the supplement of an angle is 5/2 of its compliment, find the angle.a. 25 degreesb. 30 degreesc. 20 degreesd. 15 degrees

35. A place on the terrestrial sphere has an altitude of 25o15’N. how many nautical miles is that place from the north?

a. 5, 883b. 5, 838c. 3, 885d. 5, 883

36. The point of concurrency of the perpendicular bisector of the sides of a triangle is called the _______.

a. Incenterb. Circumcenterc. Centroidd. Orthocenter

37. What is the apothem of a regular polygon having an area of 225 and perimeter of 60.a. 5.5b. 6.5c. 8.5d. 7.5

38. The deformation due to an applied axial load resisted by constant area is _______.a. PL/2AEb. PL/AEc. PL2/AEd. PA/EL

39. At what rpm is the ferris wheel turning when the rider feels weightless or zero gravity every time each rider is at the topmost part of the wheel 9 m in radius.

a. 7.99 rpmb. 9.97 rpmc. 10.97 rpmd. 8.99 rpm

40. A body was fired vertically upward with an initial velocity of 500 m/s from the ground. How long will it take the body to return to the ground?

a. 10.2 secb. 5.1 secc. 7.8 secd. 12.2 sec

41. Which of the following cannot be a probability value?a. (0.99)^4b. 88/100c. (0.59)^(1/3)d. (0.50)^-1

42. If the eccentricity of a conic is less than 1, then it is _______.a. A circle b. An ellipsec. A parabolad. A hyperbola

43. The degree of y^3 + x = (y-xy’)^-3 is a. 1b. 2

c. 3d. 4

44. Find the Area bounded by y^2 = 4 – x ad y^2=4-4x.a. 8b. 10c. 6d. 12

45. Find the equation of the family of curves for which the slope at any point is equal to the reciprocal of the product of the coordinates of the point.

a. y^2=lnx + 2Cb. y^2=ln2x + Cc. y^2=2(lnx + C)d. y^2=2lnx + Cx

46. Given 4x^2 + 8y^2 = 32, find y”.a. -8/y^3b. -6/y^3c. -2/y^3d. -4/y^3

47. Within elastic limit, stress is directly proportional to the strain. This is otherwise known as _________.

a. Guy Lussac’s Lawb. Hooke’s Lawc. Charles’ Lawd. L.A. Law

48. A load consists of a triangle placed on a beam. The area of the moment diagram is ______.

a. Rectangleb. Trianglec. 2nd degreed. 3rd degree

49. It is a beam where one end is fixed and the other end is simply supported.a. Simple beamb. Cantilever beamc. Propped beamd. Overhanging beam

50. A ball was dropped into a hard court from a height of 10 m. If the coefficient of restitution is 0.95, what height it will attain on its 5th bounce?

a. 4 mb. 5 mc. 6 md. 7 m