MESL ME Board Exam January 2011 PDF

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Republic of the Philippines PROFESSIONAL REGULATION COMMISSION ManilaBOARD OF MECHANICAL ENGINEERINGRegistered Mechanical Engineer Licensure Examination Saturday, January 29, 2011 07:30 a. – 12:30 p. MATHEMATICS,ENG’G ECONOMICS & ENG’G SCIENCES SET AINSTRUCTION: Select the correct answer for eac...

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Republic of the Philippines PROFESSIONAL REGULATION COMMISSION Manila BOARD OF MECHANICAL ENGINEERING Registered Mechanical Engineer Licensure Examination Saturday, January 29, 2011 07:30 a.m. – 12:30 p.m. ---------------------------------------------------------------MATHEMATICS,ENG’G ECONOMICS & ENG’G SCIENCES

SET A

INSTRUCTION: Select the correct answer for each of the following questions. Mark only one answer for each item by marking the box corresponding to the letter of your choice on the answer sheet provided. STRICTLY NO ERASURES ALLOWED. Use pencil No.2 only. MULTIPLE CHOICE 1. A type of bond where the corporation pledges securities which it owns (I,e, stocks, bonds of its subsidiaries). A. Mortgage C. Coupon bond B. Registered bond D. Collateral trust bond * 2. The place where buyers and sellers come together. A. Market * C. Recreation center B. Business D. Buy and sell section 3. An evil wrong committed by a person damaged another person’s property or reputation is A. tort * C. negligence B. material breach D. fraud 4. What is the probability of not getting a red ball from a bag containing 3 white balls, 5 blue balls , and 4 red balls? A. 2/3 * C. 1/3 B. 5/12 D. 1/4 5. In how many ways can 7 persons be seated on a round table if a certain couple is in the group and must be seated together? A. 240 * C. 120 B. 360 D. 720 6. A 100 liter mixture with 85% alcohol is placed in a container. How much water should be added to produce a mixture with 65% alcohol? A. 25.6 C. 30.8 * B. 20.6 D. 35.8 7. What is the highest position in the corporation? A. President C. Chairman of the Board * B. Board of Directors D. Stockholders

8. An association of two or more individuals for the purpose of operating a business as co-owners for profit. A. Sole proprietorship C. Partnership * B. Company D. Corporation 9. Liquid assets such as cash and other assets that can be converted quickly into cash, such as accounts receivable and merchandise are called A. total assets C. current assets * B. fixed assets D. none of the above 10. The length of time which the property may be operated at a profit. A. Physical life C. Operating life B. Economic life * D. All of the above 11. The provision in the contract that indicates the possible adjustment of material cost and labor cost. A. Secondary clause C. Contingency clause B. Escalatory clause * D. Main clause 12. Gross profit, sales less cost of good sold, as a percentage of a sales is called A. profit margin C. net income B. gross margin * D. rate of return 13. Those funds that are required to make the project a going concern. A. Initial investment C. Working capital * B. Current accounts D. Subscribed capital

enterprise

or

14. The payment for the use of borrowed money is called A. loan C. interest * B. maturity value C. principal 15. Sometimes called second hand value. A. Scrap value C. Book value B. Salvage value * D. Going value 16. If John gives $5 to Allen and Allen gives $2 to Eduard, and they have the same money thereafter, how much is Johns money higher than Allen? A. $7 C. $8 * B. $5 D. $3 17. Transform the polar equation r2cos(theta)sin(theta)= 4 to rectangular coordinates. A. xy = 4 * C. x + y = 4 B. x2y = 4 D. x2 + y2 = 4 18. Given of f(x) A. 0, B. 0, 19.

f(x)= (x – 1)/(x3 – 3x2 + 2x), find x when the value is undefined. -1 and -2 C. 0 and 2 1 and 2 * D. 1 and 2

Given f(x)= 3x – 5, g(f(x))= x , find g(x). A. (2x + 5)/3 C. (x + 5)/3 * B. (3x – 5)/4 D. (x – 5)/3

20. The value which has a disinterested third party, different from the buyer and seller, will determine in order to establish a price acceptable to both parties. A. Market value C. Fair value * B. Goodwill value D. Franchise value 21. 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. A. Deferred annuity * C. Progressive annuity B. Delayed annuity D. Simple annuity 22. A method of computing depreciation in which the annual charge is a fixed percentage of the depreciation book value at the beginning of the year to which the depreciation applies. A. Straight lime method C. SYD method B. Sinking fund method D. Declining balance method * 23. A method of depreciation where a fixed sum of money is regularly deposited at compound interest in a real or imaginary fund in order to accumulate an amount equal to the total depreciation of an asset at the end of the asset’s estimated life. A. Straight line method C. Declining balance method B. Sinking fund method * D. SYD method 24. The lessening of the value of an asset due to the decrease in the quantity available (referring to the natural resources, coal, oil, etc.) A. Depreciation C. inflation B. depletion * D. incremental cost 25. An association of two or more persons for a purpose of engaging in a profitable business. A. Sole proprietorship C. Partnership * B. Enterprise D. Corporation 26. A distinct legal entity which can practically transact any business transaction which a real person could do. A. Sole of proprietorship C. Partnership B. Enterprise D. Corporation * 27. A type of bind where the corporation pledges securities which it owns (I,e, stocks, bonds of its subsidiaries). A. Mortgage C. Coupon bond B. Registered bond D. Collateral trust bond * 28. A type of bond which does not have security except a promise to pay by the issuing corporation. A. Mortgage bond C. Collateral trust bond B. Registered bond D. Debenture bond * 29. The residual value of a company’s assets after all outside liabilities (shareholders excluded) has been allowed for. A. Dividend C. Return B. Equity * D. Per value

30. The quantity of a certain commodity that is bought at a certain price at a given time and place. A. Demand * C. Market B. Supply D. Utility 31. Solve for N if log of 3 top the base 6 equals N. A. 0.613 * C. 0.316 B. 0.218 D. 0.816 32. A man bought a $20 book and wishes to sell it. At what price should he mark it if he wishes to give a 40 percent discount and make 50 percent profit on the cost? A. $40 C. $ 50 * B. $55 D. $30 33. A steel plate 6 cm square is to be formed into an open box by cutting equal squares out of the corners and bending up the edges to form a box. What is the side of the square removed so that the box formed will have a maximum volume? A. 1.0 cm * C. 0.5 cm B. 1.5 cm D. 2.0 cm 34. The greatest unit pressure the soil can continuously stand is called A. bearing strength * C. ultimate strength B. yield strength D. fatigue strength 35. Refers to the highest ordinate on the stress-strain diagram. A. Rapture strength C. Yield strength B. Ultimate strength * D. Allowable strength 36. A kind of stress that is caused by forces acting along or parallel to the area resisting the force. A. Tensile stress C. Shearing stress * B. Bearing stress D. Tangential stress 37. The ratio of the unit deformation or strains in a transverse direction is constant for stresses within the proportional limit. This is known as A. Hooke’s Law C. Poisson ratio * B. Mohr’s circle D. Slenderness ratio 38. What is the constant term in the expansion of (2x2 + 1/x)9 ? A. 672 * C. 748 B. 724 D. 860 29. Solve for x: 23x = 64 A. 4 B. 6

C. D.

2 * 1

39. Find x in the expression log 3 to the base 6 equals x times log 3 to the base 2. A. 1/3 * C. 2/3 B. 1/2 D. 3/4

40.

If ln x = 3 and ln y = 5, find ln(x2 /y1/2)

A. B.

1.5 2.5

C. D.

3.5 * 4.5

41. A river is 580 ft wide. The bridge constructed across the river is banked 1/7 of its length in the east and 1/6 in the west. What is the length of the bridge? A. 840 ft * C. 910 ft B. 760 ft D. 1000 ft 42. What is the probability of getting two faces in a deck of cards if drawing of cards is to be done twice? A. 0.02 C. 0.04 B. 0.05 * D. 0.03 43. A plane with a velocity of 300 mph din still air, is travelling against the wind and travels a distance of 900 miles in 4 hours. Find the headwind velocity. A. 75 mph * C. 150 mph B. 100 mph D. 200 mph 44. A, B and C are points on a circle. AC bisects the circle and AB = BC. The area of triangle ABC is most clearly what percent of the circles area? A. 44 C. 32 * B. 36 D. 24 45. Find the value of x for which f(x) is minimum given f(x) = x2 + 5x + 2 = 0 A. 0 C. -2 B. -5/2 * D. -3/2 46. Solve for x: x – 3 = 3(1 – x) A. 0.67 C. B. 0.33 D.

1.50 * 1.67

47. Find the equation of the family of lines in which the slope and the y- intercept are equal. A. y’ = x/y C. y’ = y/x B. y’ = y/(x + 1) * D. y’ = x + y 48. Find the radius of the circle circumscribing pentagon with area 560 square units. A. 15.347 * C. 11.254 B. 16.879 D. 10.543

a

regular

49. Find the equation of the circle circumscribing a triangle with vertices (-1,-3), (-2, 4), (2, 1). A. x2 + 3x + y2 – 7y – 10 = 0 B. x2 + 3x + y2 + 7y – 10 = 0 C. x2 + 3x + y2 – y – 10 = 0 * D. x2 + 3x + y2 – 7y + 10 = 0 50. The upper and lower bases of a trapezoid measures 12 in and 16 in respectively. If the base angles are 55 deg and 65 deg. What is the length of the shorter leg? A. 3.78 * C. 5.24 B. 2.18 D. 4.29...