Mechanical Engineering Review Online

1. If tan A = 2, find sec A in quadrant III.

a. -3.25

b. -2.23

c. 4.29

d. -1.31

2. The interior angles of triangle are in the ratio 4:6:8 express the smallest angle in mils.

a. 730.1 mils

b. 711.1 mils

c. 751.3 mils

d. 720.8 mils

3. _____ is the ratio by which the denominator is 100

a. Percentage

b. Decimal

c. Factorial

d. Scientific notation

4. The angle or inclinations of ascend of a road having a 9.25% grade is ____.

a. 5.28 deg

b. 5.55 deg

c. 4.76 deg

d. 6.32 deg

5. The areas of two squares differ by 8 sq ft, and their perimeters differ by 5 ft, find the sum of their areas.

a. 20.21 ft²

b. 22.31 ft²

c. 21.26 ft²

d. 24.01 ft²

6. Supplementary angles are two angles, the sum of whose measure is _____.

a. 45 deg

b. 90 deg

c. less than 90 deg

d. 180 deg

7. A part of a circle bounded by the radii and an arc

a. Chord

b. Sector

c. Radius

d. Circumference

8. The fixed reference line used in a coordinate system

a. Binary

b. Axis

c. Space

d. Directrix

9. In a certain community of 1500 people, 55% are literate. Of the males, 60% are literate, and of the female 75% are literate. How many is the male population?

a. 2000

b. 2500

c. 1800

d. 2300

10. A dam was constructed for P300,000. The annual maintenance cost is P8,000. If the interest rate is 8%, the capitalized cost of the dam including maintenance is ____.

a. P400,000

b. P400,500

c. P500,00

d. P380,000

11. Study of operation and relation among numbers through the use of variables or literal symbols instead of just constant

a. Trigonometry

b. Algebra

c. Calculus

d. Geometry

12. A curve in space which lies on a cylinder and crosses its elements at a constant angle

a. Flank

b. Helix

c. Root

d. Spiral

13. During brazing in air-conditioning system, fill the tubing with inert gases like dry nitrogen to prevent:

a. Corrosion

b. Softening of metal

c. Expansion

d. Discoloration of metal

14. P30,000 is deposited in a savings account that has 6% interest, compounded semiannually. Equal annual withdrawals are to be made from the account, beginning one year from now and continuing forever. The maximum amount of the equal annual withdrawal is closest to ____.

a. P1,652

b. P1,545

c. P1,827

d. P1,409

15. An employee obtained a loan of P120,000 at the rate of 5% compounded annually in order to build a warehouse. How much must he pay monthly to amortize the loan with a period of 9 years?

a. P1,278.2

b. P1,375.6

c. P1,651.7

d. P1,440.0

16. You have used your credit card to purchase automobile tires for P9000. Unable to make payments for 7 months, you then wrote a letter of apology and enclosed a check to pay your bill in full. The credit card Company’s nominal rate is 17% compound monthly. For what amount should you write the check?

a. P9,931.3

b. P9,681.0

c. P9,220.7

d. 9,543.0

17. The type of vibration which is caused by fluctuating vertical couples which tend to make the ends of the engine rise and fall.

a. Blanking

b. Bleaching

c. Pitching

d. Splitting

18. The air above the ice in a pond is -10 deg C. What is the possible temperature of the water at the bottom of the pond.

a. 100 deg C

b. 0 deg C

c. -20 deg C

d. 4 deg C

19. The specific heat of wood is 0.42. What does this statement mean?

a. It needs 0.42 joules to heat it by 1 deg C

b. It needs 0.42 calorie to warm it by 1 deg

c. It needs 0.42 deg to absorb 1 calorie

d. It expands 0.42 m per deg C

20. The effective annual interest rate has been determined to be 27.54% compounded monthly. Calculate how much can be spent now to avoid future computer software maintenance expenses of P26,000 per quarter for the next 5 years.

a. P401,871.9

b. P406,991.5

c. P405,912.5

d. P403,881.9

21. What is the amount of interest for P1200 loan at 9% annual interest if it is repaid by a single payment after 17 years?

a. P3,993.2

b. P3,220.0

c. P3,541.9

d. P3,810.8

22. A 1.142% monthly interest, a 30 year mortgage loan (360 monthly payments) has payments of P530.22. Find the amount of the loan.

a. P45,301.5

b. P45,650.3

c. P47,918.2

d. P46,561.1

23. Under a licensing agreement, Pentagon Products will receive a P12,000 royalty check at the end of every year for 18 years. What is the present worth of the series of payments at 8.3% annual interest?

a. P110,159.9

b. P120,178.1

c. P110,397.1

d. P120,881.6

24. An auto loan is to have a 36 equal-of-monthly payments. The amount borrowed is P632,000. The interest rate is 0.95% per month. Find the monthly payment amount.

a. P22,871.0

b. P23,981.7

c. P21,562.1

d. P20,810.8

25. States that pressure applied to a confined fluid acts equally in all directions

a. Boyle’s Law

b. Archimedes Principle

c. Dalton’s Law

d. Pascal’s Principle

26. What is the relationship between ethical and legal requirements?

a. Not same move action 

b. Ethical and legal are not the same action

c. Ethical and legal are the same action

d. Same move action

27. How many years would it take at a 11% interest rate for a series of year-end payments of P1,300 to build up to P20,000?

a. 9.5 years

b. 10 years

c. 8 years

d. 7.5 years

28. Determine the monthly interest rate charged by a lender who requires an interest payment of 6% of the principal loan along with repayment of the principal when the length of the loan is 6 months.

a. 0.976%

b. 1.011%

c. 0.651%

d. 0.761%

29. A charity wants to purchase a van six years from now that cost P700,000. What monthly pledge from contributors would be enough to finance this expenditure if contributions are invested at 0.96% monthly interest?

a. P6,297.8

b. P6,310.5

c. P7,817.5

d. P7,551.0

30. A truck costs P1,200,000 and had an estimated useful life of 7 years and estimated salvage value of P110,000. What is the undepreciated value of the truck at the end of the fifth year, assuming the use of straight-line-depreciation?

a. P420,761.8

b. P421,428.6

c. P433,091.1

d. P444,901.6

31. A machine acquired in 1997 at cost of P900,000 had an estimated life of 5 years. Residual salvage value was estimated to be P92,400. Find the depreciation charge during the 3rd year of the machine under the sum-of-the-year’s-digit method of depreciation.

a. P172,817

b. P166,918

c. P152,981

d. P161,520

32. A marketing company established a program to replace cars of its sales representatives at end of every 5-years. If the present price of the approved type of the car is P550,000 with a resale value at the end of 5 years of 35% of its original present value, how much money must the company accumulate for 5 years if inflation annually is 12%. Resale value will also appreciate at 12% yearly.

a. P620,000.0

b. P610,000.0

c. P630,000.0

d. P600,000.0

33. A P290,000 was invested in a lot in December 31, 2000. It was sold on December 31, 2005 for P500,000. What is the rate of return earned in this investment?

a. 12.5%

b. 18.2%

c. 11.5%

d. 10.0%

34. Republic act 8495 known as the Philippine Mechanical Engineering Act of 1998 was approved last:

a. Feb 3, 1998

b. Feb 28, 1998

c. Feb 24, 1998

d. Feb 12, 1998

35. Which of the following is not considered

a. Manufacturing cost

b. Schedule expenses

c. Profit and loss statement

d. Balance sheet

36. What is that factor of safety in industrial and commercial buildings for stairs, platforms and landings holding a weight of not less than 500 kgs?

a. 3

b. 5

c. 4

d. 2

37. What are the contents in Article 3?

a. Examination, registration and license

b. Practice of the profession

c. Term of office

d. Board of Mechanical Engineering

38. Chemical plant facilities, estimated to have a life of 20 years, are to be constructed. The facilities will require no maintenance for the first 10 years, but will require P32,000 for the second ten years. How much must be invested annually at 4.5% during the life of facilities to pay for the maintenance costs?

a. P12,534.4

b. P13,201.7

c. P14,111.8

d. P11,921.9

39. A man, now 20 years of age, will receive a legacy of P600,000 at the age of 30 years. He wishes to study for the next seven years and estimated will require P30,000 per year. He will borrow this sum at the beginning of each year and repay it out of his legacy with interest compounded at 7%. How much will be left of the legacy when he receives it?

a. P259,690.3

b. P250,010.8

c. P276,018.9

d. P232,981.1

40. The R.A 8495 is a consolidation of the Senate Bill and House Bill Nos.

a. 1792 and 8806

b. 1793 and 9806

c. 1893 and 9912

d. 1993 and 9907

41. Which of the following rules does not apply to parallel circuits?

a. The applied voltage is the same across each path
b. There is more than one path for circuit flow
c. The total resistance is the sum of the individual resistors
d. Total current flow is the sum of the current in each path

42. In order to have funds available to replace equipment purchased on January 1, 1992, a company estimates that it will need P2,500,000 in the first day of January in each of the years 2010 through 2013. Funds are to be built up by investing a fixed sum on January 1993, and yearly thereafter to 2009 inclusive at an annual rate of 4%. What amount must be invested annually?

a. P380,129.6

b. P398,018.6

c. P385,901.1

d. P382,940.5

43. A loan of P180,000 was to be amortized by a series of 10 uniform semiannual payments, the first payment being made 6 month subsequent to consummation of the loan. Immediately after the fourth payment was made, however, the debtor was in a financial position to discharge the entire debt by a single payment on that date. If the interest rate of the loan is 9% compounded semi-annually, what was the amount of this payment?

a. P117,332.25

b. P119,716.01

c. P116,651.99

d. P115,918.12

44. A contractor recognizes that he must replace a bulldozer in 5 years time, and wishes to set funds aside for this purpose. If the replacement cost of the bulldozer is estimated to be P6,432,000, how much must he set aside each year, if he starts one year now, and the interest rate is 9%.

a. P1,074,738.7

b. P1,671,837.0

c. P1,872,878.1

d. P1,561,981.6

45. An internally fired boiler which is self-contained and primarily intended for temporary location and the construction and usage is obviously not permanent.

a. Low pressure boiler

b. Miniature boiler

c. Hot water supply boiler

d. Portable boiler

46. An insulation material made of fibrous mineral and used as a mixture with magnesium, as a felt, or as a paper.

a. Magnesium carbonate

b. Asbestos

c. Cork

d. Diatomaceous earth

47. In a conventional reciprocating compressor, the lubrication is accomplished by:

a. Splash system

b. Forced circulation system

c. Gravity circulation system

d. None of the above

48. Maximum plant capacity in which a CPM is allowed to operate and or maintain.

a. 200 kW

b. 300 kW

c. 500 kW

d. 100 kW

49. To be qualified to become a member of the Board of Mechanical Engineering, the minimum age is:

a. 45

b. 35

c. 40

d. 32

50. Each period, two types of financial statements are typically generated. These are:

a. Common size financial statement 

b. Statement of changes in financial position

c. Balance sheet and the profit and loss statements

d. Cost of sales statement

51. A machine costs P22,000 today and has an estimated scrap value of P1,800 after 8 years. Inflation is 7% per year. The effective annual interest rate earned on money invested is 8%. How much money needs to be set aside each year to replace the machine with an identical model 8 years from now?

a. P3,384.5

b. P3,671.1

c. P3,551.0

d. P3,887.1

52. A local firm is establishing a sinking fund for the purpose of accumulating a sufficient capital to retire its outstanding bonds at maturity. The bonds are redeemable in 10 years, and their maturity value is P130,000. How much should be deposited each year if the fund pays interest at the rate of 2.5%?

a. P11,603.6

b. P12,812.1

c. P10,716.6

d. P13,331.9

53. The hire of any person to do whatever work he is skilled in doing

a. Salary cost

b. Material cost

c. Promotion cost

d. Labor cost

54. Turbojet engine thrust is produced by:

a. The additional weight of the injected fuel 

b. The thrust reaction of the turbine blading

c. The acceleration of the gases through the engine

d. The “ram” effect of the intake air.

55. Where ground water or surface water are used for feedwater, water hardness of 0-10 ppm shall be considered and alkalinity of ____:

a. pH 9 to pH 10

b. pH 10 to pH 11

c. pH 8 to pH 9

d. pH 8 to pH 10

56. An engineer is faced with the prospect of a fluctuating future budget for the maintenance of a particular machine. During each year of the first five years, P12,000 per year will be budgeted. During the second five years, the annual budget will be P17,000 per year. In addition, P37,000 will be budgeted for an overhaul at the machine at the end of the fourth year, and another P37,000 for an overhaul at the end of the eight year. The engineer wonders what uniform annual expenditure would be equivalent to these fluctuating amounts, assuming compounded interest at 7% per year. The equivalent uniform annual expenditures for the 10 year period is closest to ____.

a. P20,817.0

b. P23,019.1

c. P21,166.0

d. P22,761.9

57. A new building is being considered to house some equipment. The new building will reduce maintenance cost by P65,000 per year for the first ten years, and P40,000 per year thereafter. Based on a 50 year analysis period, what building construction cost can be justified? Money is worth 10%. The justified construction cost is closest to ____.

a. P550,206.8

b. P560,917.1

c. P580,881.6

d. P576,817.2

58. A manufacturing company buys a machine for P520,300. It estimates the machine’s useful life is 20 years and that it can be sold P60,000. Using straight-line depreciation, what is the annual depreciation to charge?

a. P25,912.0

b. P26,912.1

c. P24,018.9

d. P23,015.0

59. Each miniature boiler shall be provided with a blow-off connection, not less than 12.7 mm iron size, in direct connection with the

a. Lowest water space

b. 6 mm above the lowest water space

c. side of the lowest water space

d. none

60. When a thin-bore, hollow glass tube is inserted into a container of mercury, the surface of the mercury in the tube

a. Is below the container surface due to cohesion 

b. Is below the container surface due to adhesion

c. Is above the container due to cohesion

d. Is level with the surface of the mercury in the container

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

a. Air resistance

b. Surface tension

c. Gravity

d. Viscosity

62. Given a sum of money Q that will be received six years from now. At 6% annual interest the present worth of Q is P65,000. At this same interest rate, what would be the value of Q ten years from now?

a. P116,405.1

b. P120,917.1

c. P118,981.2

d. P114,817.7

63. A company deposits P1,300 every year for ten years in bank. The company makes no deposits during the subsequent five years. If the bank pays 7% interest, the amount in the account at the end of 15 years is nearest to ____.

a. P26,291.1

b. P27,199.0

c. P25,191.8

d. P24,981.5

64. How many months at an interest rate of 1 percent per month does money have to be invested before it doubles its value?

a. 62 months

b. 70 months

c. 73 months

d. 68 months

65. A Company purchases an asset for P12,000 and plans to keep it for 20 years. If the salvage value is zero at the end of the 20th year, what is the depreciation in the eleventh year? Use sum-of-the-year’s-digits depreciation.

a. P432.0

b. P644.2

c. P721.3

d. P571.0

66. A company issued 60 bonds of P1200 face value each, redeemable at par at the end of 15 years. To accumulate the funds required for redemption, the firm established a sinking fund consisting of annual deposits, the interest rate of the fund being 5%. What was the principal in the fund at the end of the 12th year?

a. P50,281.1

b. P55,917.1

c. P52,823.8

d. P53,109.8

67. An asset is purchased for P8,000. Its estimated life is 10 years after which it will be sold for P1,000. Find the book value during the 7th year if sum-of-the-year’s-digit method of depreciation is used?

a. P1,763.6

b. P1,891.2

c. P1,500.0

d. P1,222.9

68. A safe weighing 700 lbs is to be lowered at a constant speed down a skid, 9 ft long from a truck that is 5 ft high. If the friction by the safe surface and the skid is 0.40, what will you do with the safe?

a. Lift

b. push down

c. Hold back

d. Nothing

69. Find the 98th term of an AP is 1.03, 1.02, 1.01,…

a. 0.05

b. 0.06

c. 0.07

d. 0.08

70. Reynolds number may be calculated from

a. Characteristic length, mass flow rate per unit area, and absolute viscosity
b. Diameter, velocity and surface tension
c. Diameter, density and absolute viscosity
d. Diameter, velocity, and kinematic viscosity

71. Consists of the actual counting or determination of the actual quantity of the materials on hand as of given date:

a. Material update

b. Material count

c. Physical inventory

d. Technological assessment

72. Direct labor cost incurred in the factory and direct material costs are the costs of all materials that go into production. The sum of these two direct costs are known as:

a. Operation and maintenance costs 

b. O and M costs

c. GS and A expenses

d. Prime cost

73. The center of gravity of an isosceles triangle whose height H is on the median line

a. ¾ H from the vertex

b. 2/3 H from the vertex

c. 2/3 H from the base

d. 1/3 H from the vertex

74. A gas has a density of 0.095 lb/cu.ft at 105 deg F and 2 atm, what pressure is needed to change the density to 0.281 lb/cu.ft at 260 deg F?

a. 8.6 atm

b. 9.0 atm

c. 6.3 atm

d. 7.5 atm

75. Determine the radius of the sphere whose equation is: x² + y² + z² -3x + 9y + 18z + 68 = 0.

a. 6 units

b. 7 units

c. 5 units

d. 8 units

76. A pump operating at 1800 rpm delivers 600 gpm against a total head of 250 ft. Change in the piping system have increased the total head to 380 ft. At what rpm should this pump operated to achieve this new head at the same efficiency.

a. 2,019.2 rpm

b. 2,761.8 rpm

c. 2,219.2 rpm

d. 2,380.1 rpm

77. If tan (2D - 3) = 1/tan (5D – 9), determine D in degrees.

a. 14.57 deg

b. 16.21 deg

c. 13.11 deg

d. 15.22 deg

78. The percent of total solids in most domestic sewage is approximately

a. 1.0

b. 0.001

c. 0.01

d. 0.1

79. What do you call a welding process using oxyacetylene or hydrogen flame or by electric arc?

a. Fusion welding

b. MIG welding

c. TIG welding

d. All of the above

80. A chemical method of feedwater treatment which uses calcium hydroxide and sodium carbonate as reagents

a. Lime soda treatment 

b. Ion exchange treatment

c. Thermal treatment

d. Demineralization process

81. Which of the following is not true regarding the blasius boundary layer solution?

a. It is valid for laminar flow

b. It is an approximate solution

c. It is valid only for potential flow

d. It permits one to calculate the skin friction on a flat plate

82. In a business environment, balancing books means reconciling checkbooks and bank statements and posting all accounting entries in such a way as to maintain the equality of the basic accounting equation:

a. Plant, property and equipment and other assets 

b. Owner’s and stockholders equity and liability

c. Assets = liabilities + owner’s equity

d. Assets = current liabilities + owner’s equity

83. Determine the length of the shortest 3mm diameter bronze wire which can be twisted through two complete turns without exceeding a shearing stress of 80 MPa and using a Modulus of rigidity of 38 GPa.

a. 7.8 m

b. 6.1 m

c. 5.9 m

d. 9.0 m

84. Gravity causes a body to fall 18.1 ft in the 1st second, 50.3 ft in the 2nd second, 82.5 ft in the 3rd second and so on. How far did the body fall during the 10th second?

a. 291.9 ft

b. 320.7 ft

c. 310.7 ft

d. 307.9 ft

85. The probability of getting at least two heads when a fair coin is tossed four times is ____.

a. 15/16

b. 14/16

c. 11/16

d. 9/16

86. A PSME member from abroad donated P63,052 to the Junior PSME Manila Chapter for the purpose of granting scholarship. The scholarship is P11,000 a year. If interest rate is 12% per annum, how many years from today should the scholarship be grated so that will be forever.

a. 3.5 years

b. 4 years

c. 4.5 years

d. 3 years

87. To be binding and enforceable written contract documents must satisfy the basic requirements, thus there must be clear, specific and definite offer with no room for misunderstanding; there must be some form of conditional future consideration, (i.e. payment) and

a. There must be a bond 

b. There must be an arbitrator

c. There must be a third party

d. There must be an acceptance of the offer

88. The gap between the two railroad tracks 35 ft long laid at 65 deg F is 0.2 in. On hot day, after the train has passed, the temperature rises to 145 deg F. The coefficient of expansion is 6.8 x 10^-6 per deg F and E=32 x 10⁶ psi. If the rails do not bend or buckle, the approximate stress is ___.

a. 3121.9 psi

b. 2061.1 psi

c. 2170.0 psi

d. 2671.1 psi

89. A gasoline engine is available on installment basis with a down payment of P7900 and P1200 at the end of each month for one year. What is the cash price of the engine if the interest is set at 7% compounded monthly?

a. P22,817.3

b. P23,199.0

c. P21,768.5

d. P20,182.1

90. All proposed installations, additions or alterations involving machinery, mechanical equipment or processes shall be covered by plans and specification prepared by or under the supervision of a

a. Registered Mechanical Engineer (RME) 

b. Certified Plant Mechanic (CPM)

c. Mechanical Plant Engineer (MPE)

d. Professional Mechanical Engineer (PME)

91. A 220-volt, 4 hp motor has an efficiency of 80%. If power cost P6.0 per kW-hr for the first 100 kW-hr, P5.0 per kW-hr for the second 100 kW-hr and P4.0 for the remaining kW-hr. How much does it cost to run this motor in 12 days continuous operation?

a. P4,680.8

b. P4,201.6

c. P4,871.1

d. P4,100.0

92. A debt is to paid uniformly varying monthly payments for 10 years. The first payment is P6,000, the second being P7,000, the third being P8,000 etc. What is the amount of the debt if the money is worth 10% compounded monthly?

a. P4,331,918.2

b. P4,712,817.1

c. P4,219,995.2

d. P4,500,210.1

93. Which is not a qualification of an applicant for ME board Examination

a. He must be a holder of BSME degree 

b. He must be Certified Plant Mechanic

c. He must be at least 18 years old

d. HE must be a citizen of the Philippines

94. A provision in the contract that indicates the possible adjustment of material cost and labor cost.

a. Escalatory clause 

b. General provision

c. Specification

d. Secondary clause

From the matrix shown:

Cash P60,000
Accounts receivable P120,000
Merchandise Inventory P210,000
Notes receivable P150,000
Note payable P70,000
Account payable P140,000
Salaries payable P30,000

95. The total asset

a. P540,000

b. P550,000

c. P560,000

d. P530,000

96. Total current liabilities

a. P200,000

b. P220,000

c. P230,000

d. P240,000

97. The current ratio

a. 2.25

b. 1.25

c. 3.25

d. 3.5

98. When vane control is used for mechanical draft fans and where a wide load range is required, it is advisable to use a:

a. Single speed drive motor 

b. Triple speed drive motor

c. Two speed drive motor

d. Four speed drive motor

99. Profit margin ratio is the percentage of each peso of sales that is net income and the profit margin is equal to:

a. Price earnings 

b. ROR

c. Net income owner’s equity

d. Net income before taxes/net sales

100. One of the two types of nonmaterial nuclear radiation is:

a. Gamma radiation

b. Rutherford radiation

c. Betatron radiation

d. Transmutation radiation

Answer Key (Handwritten)