1. 1. Which of the following methods is most suited in evaluating or comparing alternatives with different (finite) lives?
a. Uniform annual cost method c. Urgency rating method
b. Rate of return method d. Present worth method
2. A thermodynamic system which undergoes a cyclic process during a positive amount of work is done by the system:
a. Reversed Rankine cycle c. Reversible-irreversible process
b. Heat engine d. Heat pump
3. If the anti-freeze at a certain temperature has a concentration of a known value, what will be its behavior as it progressively cools?
a. Its stoppage in cooling will result in water and ice mixture
b. Cooling the solution below the limit liquefies the entire mixture
c. It freezes out most of water into ice
d. It remains a liquid until the temperature drops to a certain point
4. Air is used for comfort cooling shall maintain a movement of from:
a. 4570 to 7620 mm/min c. 8 to 10 mm/min
b. 8500 to 10000 mm/min d. 7800 to 9200 mm/min
5. A type of boiler which incorporates furnace water cooling in the circulatory system is otherwise known as:
a. Integral-furnace boiler c. Integral-cogeneration boiler
b. Integral-grate boiler d. None of the above
6. The age limit of a horizontal return tubular flue or cylinder boiler having a longitudinal lap joint and operating at a pressure in excess
of 0.345 MPa or 3.45 Bar gage shall be:
a. 20 years c. 30 years
b. 35 years d. 18 years
7. A specimen is subjected to a load. When the load is removed the strain disappears. From this information, which of the following can
be deduced about this material?
a. It is plastic c. It is elastic
b. It is ductile d. It has high modulus of elasticity
8. In a quadratic equation, if the quantity under the radical is equal to “0” the roots are:
a. Imaginary numbers c. Real and unequal
b. Complex and unequal d. Real and equal
9. Which statement below is not correct?
a. d(en
)=en
du c. d(u/v)=(v du-u dv)/v2
b. d(cos u)=-sin u du d. d(sin u)=-cos u du
10. The measure of the fluid’s resistance when acted upon an external force is called:
a. Density c. Viscosity
b. Flash point d. Tackiness
11. The difference between the sum of the absolute dynamic head at the outlet of the pump and the sum of the absolute dynamic head
at the inlet, corrected to the centerline of the pump is:
a. Total dynamic head c. Developed head
b. Net positive suction head d. Total dynamic lift
12. Larger pumps usually are driven by three-phase induction motors. The synchronous speed of such a motor is the speed of the
rotating field:
a. N=[(120)(60)]/PF c. N=[(120)(f)]/2*no. of poles
b. N=[(120)(f)]/no. of poles d. N=[(120)(50)(2)]/no. of poles
13. The amount of heat needed to raise the temperature one lb of that substance one degree Fahrenheit is:
a. Specific heat c. Relative heat
b. Btu d. Latent heat
14. A process has a pressure range of 0.001 – 1 atmosphere. A pressure measuring instrument to register the pressure at all times, the
instrument needed for the job is:
a. Metallic diaphragm c. Water manometer
b. Mercury manometer d. Bourdon pressure gage
15. The heat transfer process in a cooling tower consists of a transfer of heat from water to
a. Vapor c. Unsaturated air
b. Ice d. None of the above
16. The system of refrigeration which uses heat energy to change the condition required in the refrigeration cycle:
a. ICE refrigeration c. Absorption refrigeration
b. Vapor compression d. Steam-jet refrigeration
17. Worth of property as shown on the accounting records of an enterprise
a. Book value c. Use value
b. Market value d. Fair value
18. What is the work-in-process classified as
a. An asset c. An expense
b. A liability d. A revenue
19. Association of two or more individuals for the purpose of operating a business as co-owners of a profit
a. Corporation c. Organization
b. Company d. Partnership
20. Financial statement which compare the revenues of the period with the expenses incurred to gain those revenues:
a. Liquidated damages c. Statement of assets and liabilities
b. Profit and loss d. Book value
21. The property of a circuit or circuit element to impede current flow
a. Conductivity c. Capacitance
b. Inductance d. Resistance
22. The general equation of a conic section is given by the following equation: Ax2
+ Bxy + Cy2
+ Dx + Ey + F = 0. A curve may be
identified as an ellipse by which of the following conditions?
a. B2
– 4AC = 1 c. B2
– 4AC < 0
b. B2
– 4AC > 0 d. B2
– 4AC = 0

2. 23. Linear momentum is a product of mass and velocity and this can be expressed also as a function of:
a. Force, acceleration, time c. Force, velocity, time
b. Force, time d. Force, displacement
24. The transmission of heat from one place to another by fluid circulation between the spots of different temperature is called:
a. Convection c. Conservation
b. Radiation d. Conduction
25. A civil wrong committed by a person damaged another person’s property or reputation is:
a. Fraud c. Negligence
b. Tort d. Material breach
26. One-fourth of a great circle:
a. Sphere c. Circle
b. Cone d. Quadrant
27. Points that lie in the same plane:
a. Collinear c. Parallel
b. Coplanar d. Oblique
28. The total income equals the total operating cost:
a. Check and balance c. Break-even-no-gain-no-loss
b. In-place value d. Balance sheet
29. 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 adhesion
b. Is the above the container surface due to cohesion
c. Is below the container surface due to cohesion
d. Is level with the surface of the mercury in the container
30. The sum of the pressure head, elevation head and the velocity head remains constant, this is known as:
a. Boyle’s law c. Archimedes principle
b. Torricelli’s theorem d. Bernoulli’s theorem
31. 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. Side of the lowest water space c. 5 mm above the lowest water space
b. Lowest water space d. None
32. To be qualified to become a member of Board of Mechanical Engineering, the minimum age is:
a. 40 c. 35
b. 32 d. 45
33. Section 22 of Republic Act No. 8496 “The Philippine Mechanical Engineering Act of 1998” is about
a. Seal of a Professional Mechanical Engineer
b. Issuance of Certificates of Registration and Professional License
c. Oath
d. Re-examination
34. The path of a projectile is a/an:
a. Ellipse c. Hyperbola
b. Part of a circle d. Parabola
35. This has been defined as the spontaneous disintegration of atoms accompanied by emissions of rays
a. Radioactivity c. Oxidation
b. Laser effect d. Fission
36. The decrease in value of a certain property due to the gradual extraction of its contents:
a. Diminishing returns c. Depletion
b. Depression d. Depreciation
37. The trigonometric function (1 + tan2
x) is also equal to:
a. Sec2
x c. Sin x
b. Csc2
x d. Cos2
x
38. What is the factor of safety in industrial and commercial buildings for stairs, platforms and landings holding a weight of not less than
500 kg?
a. 4 c. 5
b. 2 d. 3
39. Resistance to motion, caused by one surface rubbing against another
a. Inertia c. Gravity
b. Friction d. Resistance
40. What happens to the acceleration if the mass is tripled and the force remains the same?
a. It will be tripled c. It will be 1/3 of the original
b. It will be 3 times the original d. It will remain the same
41. The axis of the hyperbola through its foci is known as:
a. Transverse axis c. Conjugate axis
b. Major axis d. Minor axis
42. The ____ of a line is the positive angle (counterclockwise) measured from the positive horizontal axis:
a. Slope c. Grade
b. Inclination d. Elevation
43. The point of the curve y=f(x) at which y’=0
a. Inflection point c. Maximum point
b. Minimum point d. Critical point
44. In the first derivative test, if f’(x) changes from negative to positive as x increases through the critical value, then the critical value is
a ____.
a. Critical c. Minimum
b. Maximum d. Inflection
45. If the roots of an equation are zero, then they are classified as ____
a. Extraneous roots c. Conditional solutions
b. Trivial solution d. Hypergolic solutions

3. 46. In proportion of four quantities, the first and the fourth terms are referred to as the
a. Numerators c. LCM
b. Extremes d. Means
47. An algebraic term is a/an ____ term in certain letters representing number if it consist of the product of possible integral powers of
these numbers and a factor not containing them.
a. Integral c. Irrational
b. Integral rational d. Rational
48. A relation in which every ordered pair (x, y) has one and only one value of y corresponds the value of x is called:
a. Function c. Coordinates
b. Domain d. Range
49. The angle formed by two intersecting planes is called ___ angle.
a. Face c. Central
b. Dihedral d. Vertical
50. The angle which the line of sight to the object, makes with the horizontal which is above the eye of the observer.
a. Angle of elevation c. Look angle
b. Angle of depression d. Acute angle