PREBOARD NO.
1 - MESL
1. Traffic travels at 65 mi/hr around a banked highway curve with a radius of 3000 ft. What banking angle is necessary
such that friction will not be required to resist centrifugal force?
a. 2.5 1/2
b. 5.4 1/2
c. 18 1/2
d. 3.2 1/2
2. The work done in pushing a fluid across a boundary is known as .
a. Potential energy
b. Internal energy
c. Kinetic energy
d. Flow energy
3. Determine the rationalized value of the complex number (6+2.5i)/(3+4i)
a. -1.12 + 0.66i
b. 1.12 - 0.66i
c. 0.32 - 0.66i
d. 32 + 0.66i
4. If the pressure at a point in the ocean is 60 kPa, what is the pressure 27 meters below the point?
a. 521.3 kPa
b. 256.3 kPa
c. 332.82 kPa
d. 185.4 kPa
5. The equation y = a1 + a2x is an algebraic expression for which of the following choices?*
a. A circle in polar form
b. Projectile motion
c. A straight line
d. A cosine expansion series
6. Determine the equation of the line whose slope is -3 and the x-intercept is 5.*
a. 3x-y=5
b. y-3x=15
c. 3x+y=5
d. y-(-3x)=15
7. If a Mining Engineer borrowed money with simple interest of 12%, calculate the present worth of P75,000.00 which is
due at the end of 7 months.*
a. P70,093.50
b. P73,900.50
c. P72,200.20
d. P70,200.20
8. At the end of its estimated life, how do you call an estimate of assets’ net market value?*
a. Depreciation
b. Salvage Value
c. Book Value
d. Cash Flow
9. As x increases uniformly at the rate of 0.001 ft. per sec, at what rate is the expression (1+x)² increasing when x=4 ft?*
a. 1.01
b. 0.01
c. 0.001
d. 0.10
10. A spring whose normal length is 10 inches has a modulus of 12 pounds per inch. How much work is done in stretching
the spring from 12 inches to a total length of 15 inches.*
a. 180 in-lb
b. 109 in-lb
c. 126 in-lb
d. 200 in-lb
11. What do you call the replacement of the original cost of an investment?
a. Pay off
b. Return on investment
c. Breakeven
d. Capital recovery
12. An open steel chamber rests on the ocean floor in 160 ft of seawater (SG=1.03). What air pressure psig must be
maintained inside to exude water?*
a. 93.2
b. 45.6
c. 60.9
d. 71.4
13. Solve for x: 2x»-y»-14=0 but y=x-1*
a. X = 5 and x = -3
b. X = -5 and x=3
c. X=-6 and x=2
d. X=6 and x=-2
14. How do you call the actual interest earned by a given principal?
a. Simple Interest
b. Effective interest
c. Compound interest
d. Nominal interest
15. Jen borrowed P2 ,000.00 from a local bank and agreed to pay the loan at the end of one year. The local bank
discounted the loan and gave her Php 1,950.00 in cash, Find the rate of discount.
a. 3.12%
b. 2.5%
c. 1.2%
d. 3.75%
16. A highgrade metal specimen 36-mm in diameter has a length of 360 mm. A force of 300 kN elongates the length by
1.20 mm. Find the modulus of elasticity.*
a. 92.658 Gpa
b. 92.564 Gpa
c. 95.635 Gpa
d. 88.419 Gpa
17. What is the relationship between ethical requirements and legal requirements?*
a. Both cover none of the same actions
b. Legal actions are ethical actions
c. Ethical requirements add restrictions not required by the law
d. Both place restrictions on the same actions
18. An open topped steel cylindrical water tank has a horizontal circular base 10 ft in diameter, when filled to a height of 8
feet, the force in lbs exerted on its base is nearest to :*
a. 7,800
b. 10,000
c. 3,900
d. 39,200
19. A stock certificate of a mining company guarantees a dividend of P100 at the end of each year for 10 years and a final
additional payment at the end of 10 years of P 1,200. If money is worth 12% effective, what is the certificate worth now?*
a. 951.39
b. 897.54
c. 789.45
d. 1095.54
20. In molecules of the same composition, what are variations of atomic arrangements known as?*
a. Isomers
b. Polymers
c. Monomers
d. Crystal systems
21. The product of two numbers is increased by 4 is P. If one number is D, find the other number.*
a. P/D-4
b. (P-4)/D
c. (P+4)/D
d. D/P-4
22. Given the following simultaneous differential equation:
2 dx/dt – 3 dy/dt + x -y =k
3 dx/dt + 2 dy/dt – x + cos t = 0
Determine dy/dt
a. (-1/6) [sin t + (1/9)x - y² - (3/2)k]
b. (2/13) [cos t + (5/2)x - (3/2)y - (3/2)k]
c. (2/9) [cos t + (3/2)x - (5/2)y - (3/2)k]
d. (1/13) (5x - 3y - 3k - 2 cos t)
23. Which of the following statement is true regarding the minimum attractive rate of return used in judging proposed
investments?
a. It is frequently a policy decision made by an organization's management
b. It is much smaller than the interest rate used to discount expected cash flows from investments
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
24. Louie's sash factory has 60 workers. If 4 out of 5 workers are married, how many workers are not married?*
a. 24 workers
b. 60 workers
c. 12 workers
d. 48 workers
25. Compute for the outside diameter of a hollow steel tube that will carry a tensile load of 500 kN at a stress of 140 Mpa.
Assume the wall thickness to be One-tenth (1/10) of the outside diameter.*
a. 103 mm
b. 93 mm
c. 113 mm
d. 123 mm
26. Professional Mechanical Engineer is the equivalent of in CA 294.*
a. Mechanical Engineer 4
b. Mechanical Plant Engineer
c. Master Mechanical Engineer
d. Senior Mechanical Engineer
27. A club has 21 members. In how many ways can a president, a vice president and a secretary be selected from the
group if no member may hold more than one position?*
a. 7890
b. 8790
c. 8970
d. 7980
28. A body weighing 1000 lbs fall 6 inches and strikes a 2000 lbs (per inch); spring. Determine the deformation of the
spring?*
a. 2 inches
b. 6 inches
c. 3 inches
d. 100 mm
29. Which of the following is NOT a property of magnetic field lines?*
a. The lines cross themselves only at right angles
b. The field is stronger where the lines are closer together
c. Magnetic field lines have no beginnings and no ends
d. The line intersect surfaces of equal intensity at right angles
30. Find the density of a stone in kg/m^3 that weighs 90 N in air and 50 N in water.*
a. 2205
b. 2502
c. 2250
d. 2270
31. A coin is tossed so that a head is twice as likely to occur as a tail. If the coin is tossed 3 times, what is the probability
of getting 2 tails and 1 head?*
a. 1/5
b. 2/9
c. 3/7
d. 2/5
32. Define acid test ratio.
a. The ratio of gross margin to operating, sales, and administrative expenses
b. The ratio of owner’s equity to total current liabilities
c. The ratio of current assets (exclusive of inventory) to the total current liabilities
d. The ratio of all assets to actual current liabilities
33. Integrate: ((t» + 4)dt)/(t raised to (3) + 12t + 2)*
a. (1/3) in (t raised to (3) + 12t + 2)+c
b. (1/2) in (t raised to (3) + 12t+2)»+c
c. (1/2) (t raised to (3)+12t+2)»+c
d. (1/2) (t raised to (3)+12t+2)+c
34. What force is required to punch 20-mm diameter hole through a 10-mm thick steel plate, if the ultimate strength of the
plate material is 450 MPa?
a. 241 kN
b. 252 kN
c. 283 kN
d. 386 kN
35. How do you call a cylinder with elliptical cross section?*
a. Parabola
b. Ellipsoidal
c. Hyperbola
d. Cylindroid
36. Find the area under the curve y = x3 +3x2 and the x-axis between x=1 and x=3.*
a. 46 sq units
b. 28 sq units
c. 36 sq units
d. 54 sq units
37. If a right circular cone has a base radius Of 35 cm and an altitude of 45 cm, solve for the total surface area
in cmPP raised to (2PP) and volume in cmPP raised to (3PP), of the cone.*
a. 10,116.89 ; 57,726.77
b. none of these
c. 9,857.67 ; 45,034.44
d. 6,268.44 ; 57726.77
38. What do you think is the provision in the contract that indicates the possible adjustment of material cost and labor
cost?*
a. Secondary clause
b. Specification
c. Escalatory clause
d. General provision
39. Find the area enclosed by the curve 9x» +18x +25y» - 100y = 116.*
a. 31Ð sq. units
b. 15Ð sq. units
c. 20Ð sq. units
d. 24Ð sq. units
40. How many degrees are there in 4800 mils?*
a. 90°
b. 315°
c. 180°
d. 270°
41. What is the index that gives the rate earned per share based on current price?*
a. Price-earning ratio
b. Dividend yield
c. Equity ratio
d. Operating expense ratio
42. How many permutations can be made out of the letters in the word MARNI taken 3 at a time?*
a. 80 ways
b. 50 ways
c. 60 ways
d. 120 ways
43. In the non-degenerate conic 3x² + 6xy + 5y² - x + y = 0, classify what kind.*
a. Ellipse
b. Hyperbola
c. Parabola
d. Circle
44. What are Van der Waals forces called?*
a. Weak secondary bonds between atoms
b. Primary bonds between atoms
c. Forces not present in liquids
d. Forces present only in gases
45. What is the entering temperature in degrees F if 55,000 gallons of water passes through a heat exchanger absorbing
28,000,000 BTU with exit temperature of 110 deg F?*
a. 47
b. 55
c. 49
d. 45
46. An air conditioner is purchased for P150,000. Its estimated life is 10 years, after which it will be sold of P20,000. Find
the depreciation for the second year using the sum-of-the-years digit method.*
a. P20,732
b. P21,723
c. P21,273
d. P21,836
47. What is the actual geometric shape of the methane molecule?*
a. Tetrahedral
b. Pyramidal
c. Square planar
d. Linear
48. What is the power required to transfer 110,000 coulombs through a potential rise of 24V in 30 minutes?*
a. 1.86 kW
b. 2.2 kW
c. 1.46 kW
d. 1.2 kW
49. Determine the distance traveled by a particle between a time interval of 0.2 second to 0.3 second if its velocity is
v=12t4 + 7/t
Where V is in cm/s and t is in seconds.*
a. 2.84 cm
b. 2.75 cm
c. 3.75 cm
d. 3.84 cm
50. What is the law in electrical circuits that states, “The algebraic sum of currents entering a node (or closed boundary) is
zero”.*
a. Ohm’s voltage law
b. Ohm’s current law
c. Kirchhoff’s current law
d. Kirchhoff’s voltage law
51. A 3000 cu ft storage tank is fabricated with cylindrical body and hemispherical ends. The cost of fabricating the
hemispherical ends is double than that of the cylinder. Calculate the length that will minimize the cost.
a. 22.5 ft
b. 25 ft
c. 20 ft
d. 30 ft
52. An open steel chamber rests on the ocean floor in 160 ft of seawater (SG = 1.03). What air pressure in psig must be
maintained inside to exude water?
a. 71.4
b. 60.9
c. 93.2
d. 45.6
53. What do you call an energy required to move 1 Coulomb of charge through an element*
a. Power
b. Current
c. Resonance
d. Voltage
54. A car starts from rest and has a constant acceleration of 3 fps^2. Determine the average velocity during the first 10
seconds of motion.*
a. 20 fps
b. 18 fps
c. 15 fps
d. 12 fps
55. In a class of 40 students, 27 like to play basketball while 25 like to play baseball. How many like both?
a. 11
b. 13
c. 10
d. 12
56. What is the process called when one substance mixing with another because of molecular motion?*
a. Cohesion
b. Diffusion
c. Adhesion
d. Confusion
57. How long is each side of a regular hexagon inscribed in a circle of radius 15 cm?*
a. 20 cm
b. 10 cm
c. 12 cm
d. 15 cm
58. A perfect cone was formed by rolling a gage 24 sheet of metal in the form of a sector of a circle 72cm in diameter
with a central angle of 150 degrees. Find the volume of the cone in cc.*
a. 7743
b. 7722
c. 7744
d. 7711
59. Determine the area of a triangle with sides of 5, 7 and 10.*
a. 16.248
b. 30.248
c. 18.248
d. 25.248
60. are usually used to produced consumer goods and services.*
a. Necessity products and services
b. Producer goods and services
c. Consumer goods and services
d. Luxury product and services
61. It takes Alfredo twice as it takes Efren to do a piece of work. Working together, they can do it in 6 days. How long
would it take Efren to do it alone?*
a. 9 days
b. 12 days
c. 10 days
d. 8 days
62. An open box is to be constructed from a 12 x 12 inch piece of board by cutting away squares of equal size from the
four corners and folding up the sides. Determine the size of the cut-out that maximizes the volume of the box?*
a. 350
b. 274
c. 231
d. 128
63. From a wooden box containing 8 red balls, 10 white balls and 12 blue balls. If two balls is drawn at random, what is
the probability that one is red and other is blue?*
a. 0.110
b. 0.440
c. 0.220
d. 0.330
64. Determine the expected head loss per mile of closed circular steel pipe (24-in inside diameter, friction factor of 0.03)
when 5000 gal/min of water flow under pressure?*
a. 31 ft
b. 14.5 ft
c. 15.5 ft
d. 32 ft
65. At the point of inflection where x = a:*
a. f’ (a) = 0
b. f’ (a) > 0
c. f’ (a) < 0
d. f’ (a) = is not equal to
66. What is output over input?*
a. Efficiency c. deficiency
b. depreciation d. rate of return
67. An individual wishes to deposit a certain quantity of money now so that at the end of five years he will have P500.
With interest at 4% per year, compounded semi-annually, how much must be deposited now?*
a. P340.30
b. P400.00
c. P410.17
d. P416.95
68. A gas bubble rising from the sea floor is 1 inch in diameter at a depth of 50 feet. Given that specific gravity of sea
water is 1.03, the buoyant force in lbs being exerted on the bubble at this instant is nearest to .
a. 0.020
b. 0.076
c. 0.14
d. 0.014
69. An MRT travels between two terminals 1 km apart at a minimum time of 1 minute. If the MRT cart accelerates and
decelerates at 3.4 m/sec² starting from rest at the first terminal and coming to stop at the second terminal. What is the
minimum speed?*
a. 55 kph
b. 40 kph
c. 20 kph
d. 66 kph
70. How much of a 40% solution of denatured alcohol should be mixed with an 80% to give 150 liters of a 50%
solution?*
a. 112.5 liters
b. 37.5 liters
c. 122.5 liters
d. 127.5 liters
71. Determine the first derivative with respect to x of the function: g(x) = 5v10 – 35.*
a. 35
b. 0
c. 4 (9) 3
d. ¾
72. The amount of P15,000.00, was deposited in a fund which earns 4% per annum compounded quarterly, will become
P18,302.85. Find the effective rate of interest per year.*
a. 5.06%
b. 3.06%
c. 4.06%
d. 6.06%
73. A Toyota MR2 is travelling on a horizontal unbanked circular track of radius r. Coefficient of friction between the
tires and the track is 0.30. Determine the cars velocity while travelling at a radius of 34 m, without skidding.*
a. 15 m/s
b. 12 m/s
c. 14 m/
d. 10 m/s
74. What is the speed of a truck after 4 seconds if it starts from rest and moves with a constant acceleration of 6 m/s2?*
a. 24 m/s
b. 18 m/s
c. 35 m/s
d. 28 m/s
75. What is the net force that will give to a mass of one (1) gram and an acceleration of one (1) cm/s²?*
a. Newton
b. Dyne
c. Ergs
d. Kilogram force
76. The ratio of two numbers is 5:6. If the smaller number is 70, what is the larger number?*
a. 68
b. 58
c. 80
d. 84
77. How long is each side of a regular pentagon with perimeter of 90 inches?*
a. 18 inches
b. 20 inches
c. 24 inches
d. 12 inches
78. The velocity of an FI racing car starting from rest is given by: ds/dt = 90t/ (t+10) ft/sec what is its acceleration after an
interval of 10 seconds in (ft/sec²)?*
a. 2.75
b. 2.25
c. 1.71
d. 2.10
79. A perfect gas is expanded polytropically with an initial volume and temperature of 0.06 cum and 147 deg C
respectively. If the final volume and temperature are 0.21 cum and 21 deg C respectively, what is the index expansion?*
a. 1.212
b. 1.285
c. 1.400
d. 1.333
80. Water having kinematic viscosity v = 1.3 x 10 raised to -6 m²/s flows in a 100-mm diameter steel pipe at a velocity of
4.5 m/s. Find the Reynolds Number.*
a. 387,454
b. 258,254
c. 298,754
d. 346,154
81. A car was bought at P549,492.13 with 14% down payment and the remaining balance will be paid on installment basis
with a monthly payment of P12,000 for 60 months. Determine the interest rate compounded annually.*
a. 19.56%
b. 18.00%
c. 16.45%
d. 14.35%
82. The volume of an enclosed gas varies inversely as the pressure. If a tank contains 10,000 cumtr of gas under 20 lb/in²
pressure, what is the volume of gas under a pressure of 40 lb/in²?*
a. 4,000 cumtr
b. 9,000 cumtr
c. 5,000 cumtr
d. 6,000 cumtr
83. A plastic made cubical container that measures 50.8 mm on a side is tightly packed with eight marbles and is filled
with water. All eight marbles are in contact with the walls of the container and the adjacent marbles. All of the marbles
are of the same size. Determine the volume of water in the container.*
a. 62 454.54 cu mm
b. 960.51 cu mm
c. 68 641.97 cu mm
d. 66 096.51 cu mm
84. Find the rate of change of the area of a square with respect to its side when x = 5.*
a. 12
b. 10
c. 20
d. 15
a. 4
b. 1000
c. 2
d. 0.50
86. If 12% is compounded quarterly, how much is the effective
rate?*a. 13 %
b. 12.55 %
c. 11.55 %
d. 12.98 %
87. From a wooden box containing 8 red balls, 10 white balls and 12 blue balls, one ball is drawn at random, What is the
probability that it is white?*
a. 1/3
b. 2/5
c. 1/2
d. ¼
88. There are 6 geometric means between 4 and 8748. Find the sum of all terms.*
a. 13,210
b. 13,120
c. 12,310
d. 12,130
89. The cost C of a product is a function of the quantity x of the product is given by the relation: C(x)=x²-4000x+50. What
is the quantity for which the cost is minimum?*
a. 1000
b. 2000
c. 1500
d. 3000
90. Determine the diameter of a circle, x² + y² - 6x + 4y - 12 = 0.*
a. 11 units
b. 10 units
c. 12 units
d. 9 units
91. If Joanne borrowed money from his friend with simple interest of 12%, what is the present worth of P75,000.00,
which is due at the end of 7 months.*
a. P72, 200.20
b. P73, 900.50
c. P70, 200.20
d. P70, 093.50
92. A man at point A on the shores of a circular lake of radius 1 mile wants to reach point B on the shore diametrically
opposite A. If he can row a boat 3 mi/hr and jog 6 mi/hr, at What angle with the diameter should he row in order to reach
B in the shortest possible time?*
a. 73.23
b. 23.45
c. 45.12
d. 35.12
93. What is the maximum thermal efficiency that can be obtained in an ideal reversible heat engine operating between
1540 deg F and 340 deg F?*
a. 40%
b. 60%
c. 78%
d. 100%
94. The charge in coulombs that passes through a wire after t seconds is given by the function Q(t) = t^3 - 2t» + 5t +2.
Determine the average current during the first two seconds.*
a. 2 A
b. 3 A
c. 5 A
d. 10 A
95. A series of year end payments extending over ten years are as follows: P5000 for the first year, P10,000 for the second
year, and P20,000 for each year from the third to the tenth. Find the equivalent annual worth of these payments if the
annual interest is 8%.*
a. P16,634
b. P16,365
c. P16,652
d. P16,562
96. Tesla is a unit of which of the following?*
a. Capacitance
b. Magnetic flux
c. Inductance
d. Magnetic induction
97. A 100 kN block slides down a plane inclined at an angle of 30 with the horizontal. Neglecting friction, what is the
force that causes the block to slide?*
a. 80 kN
b. 50 kN
c. 86.6 kN
d. 20 kN
98. A boy tied an 80-gram stone to a string which he rotated to form a circular motion with a diameter of 1000 mm.
Compute for the pull exerted on the string by the stone if it got loose leaving at a velocity of 25 m/s.*
a. 50 N
b. 80 N
c. 100 N
d. 250 N
99. The rotation or twist in degrees of a mild steel shaft, 300 mm long subjected to a torque of 800 N-m, 50 mm diameter
and shear modulus G of 80,000 Mpa is:*
a. 2.8
b. 0.28
c. 1.28
d. 28
100. If a block is pushed 2 ft horizontally by a force 200 lbs at an angle of 28° with respect to horizontal. What is the work
done by this force?*
a. 480 J
b. 840 J
c. 408 J
d. 804 J
