PinoyBIX Engineering Problem Solving and Reference: GEAS MCQs

General Engineering and Applied Sciences Mastery Test 1: ECE Pre-Board

This is 100 items set of Practice Examination 1 in General Engineering and Applied Sciences (GEAS) composed of previous Board Exams Questions and/or from related books and resources. Read each questions and choices carefully! Choose the best answer. In the actual board, you have to answer 100 items in General Engineering and Applied Sciences within 5 hours. You have to get at least 70% to pass the subject. General Engineering and Applied Sciences is 20% of the total 100% Board Rating along with Mathematics (20%), Communications Engineering (30%) and Electronics Engineering (30%). Familiarize each and every questions to increase the chance of passing the ECE Board Examination.

Start the Test Yourself Exam 1

Choose the letter of the best answer in each questions.

1. A hunter takes an aim at a monkey sitting on a tree and fires a bullet. Just when the bullet leaves the barrel of the gun, it so happens that the monkey begins to fall freely. The bullet will

A. go above the monkey
B. go below the monkey
C. may or may not hit the monkey. It will depend upon the velocity of the bullet
D. hit the monkey

ANS: D

2. Two anti-aircraft guns fire two shells, one at an angle of 20° with the horizontal and the other at an angle of 70° with the horizontal. If muzzle velocity is same in both the cases, then

A. the first shell has a smaller horizontal range
B. the second shell has a smaller horizontal range
C. both the shells have the same vertical range
D. both the shells have the same horizontal range

ANS: D

3. Particles that most affects material properties.

A. Neutrons
B. Protons
C. Electrons
D. Valence electrons

ANS: D

4. A heavy uniform chain lies on a horizontal table top. If the coefficient of friction between the chain and the table is 0.25, then the maximum percentage of the length of the chain that can hang over one edge of the table is

A. 20%
B. 25%
C. 35%
D. 15%

ANS: A

5. The figure below shows system of three masses being pulled with a force F. The masses are connected to each other by strings. The horizontal surface is frictionless. The tension T₁in the first string is 16 N. The acceleration of the system is

A. m
B. 2 / m
C. 3 / m
D. 4 / m

ANS: B

6. There are atomic clocks capable of measuring time with an accuracy of 1 part in 10¹¹. If two such clocks are operated with precision, then after running for 5000 years, these will record

A. a difference of nearly 1 s
B. a difference of 1 day
C. a difference of 10¹¹
D. a difference of 1 year

ANS: A

7. Which one of the following is not a strong bond?

A. van der Waals bond
B. Covalent bond
C. Metallic bond
D. Ionic bond

ANS: A

8. A projectile is projected with kinetic energy of 800 J. If it has the maximum possible horizontal range, then its kinetic energy at the highest point will be

A. 800 J
B. 400 J
C. 200 J
D. 100 J

ANS: B

9. If the air resistance causes a vertical retardation of 10% of value of acceleration due to gravity, then the time of flight of an oblique projectile will be decreased by nearly

A. 6%
B. 7%
C. 8%
D. 9%

ANS: D

10. A projectile A is thrown at an angle of 30° to the horizontal from point P. At the same time, another projectile B is thrown with velocity v₂ upwards from the point Q vertically below the highest point. For B to collide with A, v₂/v₁ should be

A. 1
B. 2
C. ½
D. 4

ANS: C

11. If a material is subjected to two incremental true strains namely ε₁and ε₂, then the total true strain is

A. ε₁ x ε₂
B. ε₁ - ε₂
C. ε₁ + ε₂
D. ε₁/ε₂

ANS: C

12. The boundary line between (liquid) and (liquid + solid) regions must be part of

A. Solvus
B. Solidus
C. Liquidus
D. Tie-line

ANS: C

13. A perfectly reversible heat pump with a coefficient of performance of 14 supplies energy to a building as heat to maintain its temperature at 27°C. If the pump motor does work at the rate of 1 kW, at what rate does the pump supply energy to the building as heat?

A. 15 kW
B. 3.85 kW
C. 1.35 kW
D. 1.07 Kw

ANS: A

14. A machine gun mounted on a 2000 kg car on a horizontal frictionless surface fire 10 bullets per second. If 10 g be the mass of each bullet and 500 m/s the velocity of each bullet, then the acceleration of the car will be

A. 1/10 ms^-2
B. 1/20 ms^-2
C. 1/40 ms^-2
D. 1/60 ms^-2

ANS: C

15. A heat engine operates between 200 K and 100 K. In each cycle it takes 100 J from the hot reservoir, loses 25 J to the cold reservoir, and does 75 J of work. This heat engine violates

A. both the first and second laws of thermodynamics
B. the first law but not the second law of thermodynamics
C. the second law but not the first law of thermodynamics
D. neither the first law nor the second law of thermodynamics

ANS: C

16. Mean distance between atoms in the range of

A. 25 nm
B. 2.5 nm
C. 0.25 nm
D. 0.025 nm

ANS: C

17. Octane, a component of gasoline, has eight carbon atoms and eighteen hydrogen atoms per molecule. Its formula is written as

A. C₁₈H₈
B. C₈H₁₈
C. C₈H₁₈
D. C₄H₉

ANS: C

18. The boundary line between (alpha) and (alpha + beta) regions must be part of

A. Solvus
B. Solidus
C. Liquidus
D. Tie-line

ANS: A

19. A method of computing depreciation in which the annual charge is a fixed percentage of the depreciated book value at the beginning of the year to which the depreciation applies.

A. straight
B. sinking fund
C. sum of-the year’s digit
D. declining balance

ANS: D

20. The approximate value of g at an altitude above Earth equal to one Earth diameter is

A. 9.8 m/s²
B. 4.9 m/s²
C. 2.5 m/s²
D. 1.1 m/s²

ANS: D

21. Bromine, with atomic mass 79.942 u, is composed of nearly equal amounts of two isotopes, one of which contains 79 nucleons per atom. The mass number of the other isotope is

A. 78
B. 79
C. 80
D. 81

ANS: D

22. Water flows through a cylindrical pipe of varying cross section. The velocity is 3.0 m/s at a point where the pipe diameter is 1.0 cm. At a point where the pipe diameter is 3.0 cm, the velocity is

A. 9 m/s
B. 3 m/s
C. 1 m/s
D. 0.33 m/s

ANS: D

23. A 5.0-kg crate is on an incline that makes an angle of 30° with the horizontal. If the coefficient of static friction is 0.5, the maximum force that can be applied parallel to the plane without moving the crate is

A. 0
B. 3.3 N
C. 30 N
D. 46 N

ANS: D

24. The profit derived from a project or business enterprise without consideration of obligations to financial contributors or claims of other based on profit.

A. economic return
B. yield
C. earning value
D. expected yield

ANS: A

25. A cube with edges exactly 2 cm long is made of material with a bulk modulus of 3.5 × 10⁹ N/m². When it is subjected to a pressure of 3.0 × 10⁵ Pa its volume is

A. 7.31 cm³
B. 7.99931 cm³
C. 8.00069 cm³
D. 8.69 cm³

ANS: B

26. Block A, with mass m_A, is initially at rest on a horizontal floor. Block B, with mass m_B, is initially at rest on the horizontal top surface of A. The coefficient of static friction between the two blocks is µ_s. Block A is pulled with a horizontal force. It begins to slide out from under B if the force is greater than:

A. m_Ag
B. m_Bg
C. µ_sm_Ag
D. µ_s (m_A +m_B)g

ANS: D

27. A distinct legal entity which can practically transact any business transaction which a real person could do.

A. sole proprietorship
B. enterprise
C. partnership
D. corporation

ANS: D

28. An example of an inertial reference frame is

A. any reference frame that is not accelerating
B. a frame attached to a particle on which there are no forces
C. any reference frame that is at rest
D. a reference frame attached to the center of the universe

ANS: B

29. An object moving in a circle at constant speed

A. must have only one force acting on it
B. is not accelerating
C. is held to its path by centrifugal force
D. has an acceleration of constant magnitude

ANS: D

30. The boundary line between (liquid + solid) and (solid) regions must be part of

A. Solvus
B. Solidus
C. Liquidus
D. Tie-line

ANS: B

31. A 50-N force is the only force on a 2-kg object that starts from rest. When the force has been acting for 2-s the rate at which it is doing work is

A. 75 W
B. 100 W
C. 1000 W
D. 2500 W

ANS: D

32. A disk is free to rotate on a fixed axis. A force of given magnitude F, in the plane of the disk, is to be applied. Of the following alternatives the greatest angular acceleration is obtained if the force is

A. applied tangentially halfway between the axis and the rim
B. applied tangentially at the rim
C. applied radially halfway between the axis and the rim
D. applied radially at the rim

ANS: B

33. A cylinder is 0.10 m in radius and 0.20 m in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 0.020 kg · m². A string is wound around the cylinder and pulled with a force of 1.0 N. The angular acceleration of the cylinder is

A. 2.5 rad/s²
B. 5.0 rad/s²
C. 10 rad/s²
D. 15 rad/s²

ANS: B

34. Figure-out the odd point in the following

A. Proportional limit
B. Elastic limit
C. Yield point
D. Fracture point

ANS: D

35. Two supports, made of the same material and initially of equal length, are 2.0 m apart. A stiff board with a length of 4.0 m and a mass of 10 kg is placed on the supports, with one support at the left end and the other at the midpoint. A block is placed on the board a distance of 0.50 m from the left end. As a result the board is horizontal. The mass of the block is

A. zero
B. 2.3 kg
C. 6.6 kg
D. 20 kg

ANS: D

36. The bulk modulus is a proportionality constant that relates the pressure acting on an object to

A. the shear
B. the fractional change in volume
C. the fractional change in length
D. Young’s modulus

ANS: B

37. Fahrenheit and Kelvin scales agree numerically at a reading of

A. -40
B. 0
C. 273
D. 574

ANS: D

38. If the molecules in a tank of hydrogen have the same rms speed as the molecules in a tank of oxygen, we may be sure that

A. the pressures are the same
B. the hydrogen is at the higher temperature
C. the hydrogen is at the greater pressure
D. the oxygen is at the higher temperature

ANS: D

39. Capitalized cost of any structure or property is equal to

A. first cost + interest
B. annual cost of the first cost
C. first cost + cost of perpetual maintenance, operation and replacement
D. first cost + salvage value

ANS: C

40. A 40-cm long string, with one end clamped and the other free to move transversely, is vibrating in its fundamental standing wave mode. The wavelength of the constituent travelling waves is

A. 10 cm
B. 20 cm
C. 40 cm
D. 160 cm

ANS: D

41. A sample of argon gas (molar mass 40 g) is at four times the absolute temperature of a sample of hydrogen gas (molar mass 2 g). The ratio of the rms speed of the argon molecules to that of the hydrogen is

A. 1
B. 5
C. 1/5
D. √5

ANS: D

42. The rotational inertia of a solid uniform sphere about a diameter is 2/5 MR², where M is its mass and R is its radius. If the sphere is pivoted about an axis that is tangent to its surface, its rotational inertia is:

A. MR²
B. 2/5 MR²
C. 3/5 MR²
D. 7/5 MR²

ANS: D

43. Young’s modulus is a proportionality constant that relates the force per unit area applied perpendicularly at the surface of an object to

A. the shear
B. the fractional change in volume
C. the fractional change in length
D. the pressure

ANS: C

44. One piston in a hydraulic lift has an area that is twice the area of the other. When the pressure at the smaller piston is increased by Δp the pressure at the larger piston

A. increases by 2Δp
B. increases by Δp/2
C. increases by Δp
D. increases by 4Δp

ANS: C

45. An insulated container, filled with water, contains a thermometer and a paddle wheel. The paddle wheel can be rotated by an external source. This apparatus can be used to determine

A. specific heat of water
B. relation between kinetic energy and absolute temperature
C. efficiency of changing work into heat
D. mechanical equivalent of heat

ANS: D

46. If two objects are in thermal equilibrium with each other:

A. they cannot be moving
B. they cannot be undergoing an elastic collision
C. they cannot have different pressures
D. they cannot be at different temperatures

ANS: D

47. Take the mechanical equivalent of heat as 4 J/cal. A 10-g bullet moving at 2000 m/s plunges into 1 kg of paraffin wax (specific heat 0.7 cal/g·C°). The wax was initially at 20° C. Assuming that all the bullet’s energy heats the wax, its final temperature (in °C) is

A. 20.14
B. 23.5
C. 20.006
D. 27.1

ANS: D

48. The flow back of profit plus depreciation from a given project is called

A. capital recovery
B. cash flow
C. economic return
D. earning value

ANS: B

49. A stone is tied to a string and whirled at constant speed in a horizontal circle. The speed is then doubled without changing the length of the string. Afterward the magnitude of the acceleration of the stone is:

A. the same
B. twice as great
C. four times as great
D. half as great

ANS: C

50. A disk with a rotational inertia of 5.0 kg·m² and a radius of 0.25 m rotates on a fixed axis perpendicular to the disk and through its center. A force of 2.0 N is applied tangentially to the rim. As the disk turns through half a revolution the work done by the force is

A. 1.6 J
B. 2.5 J
C. 6.3 J
D. 10 J

ANS: A

51. Ideal monatomic gas A is composed of molecules with mass m while ideal monatomic gas B is composed of molecules with mass 4 m. The average translational kinetic energies are the same if the ratio of the temperatures T_A/T_B is:

A. ¼
B. ½
C. 1
D. 2

ANS: C

52. A projectile is fired from ground level over level ground with an initial velocity that has a vertical component of 20 m/s and a horizontal component of 30 m/s. Using g = 10 m/s², the distance from launching to landing points is

A. 40 m
B. 60 m
C. 80 m
D. 120 m

ANS: D

53. The recorded current value of an asset is known as

A. scrap value
B. salvage value
C. book value
D. present worth

ANS: C

54. A ball with a weight of 1.5 N is thrown at an angle of 30° above the horizontal with an initial speed of 12 m/s. At its highest point, the net force on the ball is

A. 9.8 N, 30° below horizontal
B. zero
C. 9.8 N, up
D. 1.5 N, down

ANS: D

55. String is wrapped around the periphery of a 5.0-cm radius cylinder, free to rotate on its axis. The string is pulled straight out at a constant rate of 10 cm/s and does not slip on the cylinder. As each small segment of string leaves the cylinder, its acceleration changes by:

A. 0
B. 0.010 m/s²
C. 0.020 m/s²
D. 0.20 m/s²

ANS: D

56. A flywheel of diameter 1.2 m has a constant angular acceleration of 5.0 rad/s². The tangential acceleration of a point on its rim is:

A. 5.0 rad/s²
B. 3.0 m/s²
C. 5.0 m/s²
D. 3.0 rad/s²

ANS: B

57. A playground merry-go-round has a radius of 3.0 m and a rotational inertia of 600 kg·m². It is initially spinning at 0.80 rad/s when a 20-kg child crawls from the center to the rim. When the child reaches the rim the angular velocity of the merry-go-round is:

A. 0.62 rad/s
B. 0.73 rad/s
C. 0.80 rad/s
D. 0.89 rad/s

ANS: A

58. When two gases separated by a diathermal wall are in thermal equilibrium with each other:

A. only their pressures must be the same
B. only their volumes must be the same
C. they must have the same number of particles
D. only their temperatures must be the same

ANS: D

59. A balloon is filled with cold air and placed in a warm room. It is NOT in thermal equilibrium with the air of the room until:

A. it rises to the ceiling
B. it sinks to the floor
C. it stops expanding
D. it starts to contract

ANS: C

60. During a slow adiabatic expansion of a gas:

A. the pressure remains constant
B. energy is added as heat
C. work is done on the gas
D. no energy enters or leaves as heat

ANS: D

61. Two objects with masses of m₁ and m₂ have the same kinetic energy and are both moving to the right. The same constant force F is applied to the left to both masses. If m₁ = 4m₂, the ratio of the stopping distance of m₁ to that of m₂ is:

A. 1:4
B. 4:1
C. 1:2
D. 1:1

ANS: D

62. A stone is released from rest from the edge of a building roof 190 m above the ground. Neglecting air resistance, the speed of the stone, just before striking the ground, is

A. 43 m/s
B. 61 m/s
C. 120 m/s
D. 190 m/s

ANS: B

63. A man weighing 700 Nb is in an elevator that is accelerating upward at 4 m/s². The force exerted on him by the elevator floor is

A. 71 N
B. 290 N
C. 410 N
D. 990 N

ANS: D

64. The lessening of the value of an asset due to the decrease in the quantity available (referring to the natural resources, coal, etc.)

A. depreciation
B. depletion
C. inflation
D. incremental cost

ANS: B

65. A cube of aluminum has an edge length of 20 cm. Aluminum has a density 2.7 times that of water (1 g/cm³) and a specific heat 0.217 times that of water (1 cal/g·C°). When the internal energy of the cube increases by 47000 cal its temperature increases by

A. 5 C°
B. 10 C°
C. 20 C°
D. 100 C°

ANS: B

66. A Carnot heat engine and an irreversible heat engine both operate between the same high temperature and low temperature reservoirs. They absorb the same energy from the high temperature reservoir as heat. The irreversible engine

A. does more work
B. transfers more energy to the low temperature reservoir as heat
C. has the greater efficiency
D. has the same efficiency as the reversible engine

ANS: B

67. Glycine, one of the essential amino acids, has two carbon atoms, five hydrogen atoms, two oxygen atoms, and one nitrogen atom per molecule. Its formula is written as

A. C₂H₅NO₂
B. Ca₂H₅NO₂
C. C₂H₅NeO₂
D. CHNO₂

ANS: A

68. Some common ions based on Group 1A or alkali metal elements are

A. Na⁺, Ca²⁺, Fe³⁺
B. Na⁺, Li⁺, Cs⁺
C. Li⁺, Ag⁺, Au⁺
D. Ca²⁺, Ba²⁺, Sr²⁺

ANS: B

69. The molar mass of hydrazine, N₂H₄, is

A. 4.08 g/mol
B. 28.00 g/mol
C. 16.03 g/mol
D. 32.05 g/mol

ANS: D

70. An association of two or more persons for a purpose of engaging in a profitable business.

A. sole proprietorship
B. enterprise
C. partnership
D. corporation

ANS: C

71. Transition metals can combine with carbon monoxide (CO) to form compounds such as Fe(CO)₅ and CO₂(CO)₈. Assume that you combine 0.125 g of nickel with CO and isolate 0.364 g of Ni(CO)_x. What is the value of x?

A. 1
B. 2
C. 3
D. 4

ANS: D

72. A real gas undergoes a process that can be represented as a curve on a p-V diagram. The work done by the gas during this process is:

A. pV
B. p(V₂– V₁)
C. (p₂– p₁)V
D. ∫pdV

ANS: D

73. An inventor claims to have a heat engine that has an efficiency of 40% when it operates between a high temperature reservoir of 150° C and a low temperature reservoir of 30° C. This engine:

A. must violate the zeroth law of thermodynamics
B. must violate the first law of thermodynamics
C. must violate the second law of thermodynamics
D. must violate the third law of thermodynamics

ANS: C

74. How many grams are there in 1.36 mol of ethyl alcohol, C₂H₆O?

A. 0.0160 g
B. 123 g
C. 62.7 g
D. 6.27 g

ANS: C

75. What is the name given to the type of a chemical reaction characterized by the release of heat energy?

A. endothermic
B. nonspontaneous
C. exothermic
D. adiabatic

ANS: C

76. A quantity of an ideal gas is compressed to half its initial volume. The process may be adiabatic, isothermal, or isobaric. Rank those three processes in order of the work required of an external agent, least to greatest.

A. adiabatic, isothermal, isobaric
B. adiabatic, isobaric, isothermal
C. isothermal, adiabatic, isobaric
D. isobaric, isothermal, adiabatic

ANS: D

77. During a reversible adiabatic expansion of an ideal gas, which of the following is NOT true?

A. pV^γ = constant
B. pV = nRT
C. TV^γ-1= constant
D. pV = constant

ANS: D

78. In order that a single process be both isothermal and isobaric:

A. one must use an ideal gas
B. such a process is impossible
C. a change of phase is essential
D. one may use any real gas such as N₂

ANS: C

79. A condition where only few individual produce a certain product that action of one will lead to almost the same action by the other.

A. monopoly
B. oligopoly
C. semi-monopoly
D. perfect competition

ANS: B

80. If R is the range for an angle of projection of 15° with the horizontal, then the other angle of projection for which the range is R, is

A. 75°
B. 60°
C. 45°
D. 30°

ANS: A

81. An object is thrown along a direction inclined at an angle of 45° with the horizontal direction. The horizontal range of the particle is

A. four times the vertical height
B. thrice the vertical height
C. twice the vertical height
D. equal to vertical height

ANS: A

82. A ball is projected with kinetic energy K at an angle of 45° to the horizontal. At the highest point during its flight, its kinetic energy will be

A. K
B. K/√2
C. K/2
D. zero

ANS: C

83. Is the simplest form of business organization?

A. sole proprietorship
B. partnership
C. partnership
D. corporation

ANS: A

84. The enthalpy change is the heat absorbed or given off during a chemical reaction that occurs at constant.

A. temperature
B. reaction rate
C. volume
D. pressure

ANS: D

85. Two balls are projected from the same point in directions at 30° and 60° with the horizontal. Both the balls attain the same height. The ratio of their velocities of projection is

A. √3 : 2
B. √3 : 3
C. √3 : 5
D. √3 : 1

ANS: D

86. Citric acid, C₆H₈O₇, is found in many fruits. What is the weight percent of carbon in the compound?

A. 37.5%
B. 4.2%
C. 58.3%
D. 18.8%

ANS: A

87. A bomb is dropped on an enemy post by an airplane flying horizontally with a velocity of 60 km/h and at a height of 490 m. At the time of dropping the bomb, how far the airplane should be from the enemy post so that the bomb may directly hit the target?

A. 400/3 m
B. 500/3 m
C. 1700/3 m
D. 250/3 m

ANS: B

88. An airplane flying horizontally with a velocity of 216 km/hr drops a food packet while flying at a height of 490 m. The total horizontal distance travelled by the packet is

A. 600 m
B. 490 m
C. 216 m
D. 500 m

ANS: A

89. Two bodies of masses m₁ and m₂ are connected by a light, inextensible string which passes over a frictionless pulley. If the pulley is moving upward with uniform acceleration g, then the tension in the string is

A. (4m₁m₂) / (m₁ + m₂) g
B. (m₁ + m₂) / (4m₁m₂) g
C. (m₁m₂) / (m₁ + m₂) g
D. (m₁ – m₂) / (4m₁+ m₂) g

ANS: A

90. Young’s Modulus is the

A. ratio of stress to strain
B. ratio of strain to stress
C. force per unit area
D. force per unit elongation

ANS: A

91. The molar mass of vitamin C, C₆H₈O₆, is

A. 29.02 g/mol
B. 230.13 g/mol
C. 176.13 g/mol
D. 72.00 g/mol

ANS: C

92. Based on everyday experience, which of the following substances has the smallest specific heat capacity, that is, which one heats up most readily?

A. water
B. copper
C. wood
D. cement

ANS: B

93. A block of mass 1 kg is at rest on a horizontal table. The coefficient of static friction between the block and table is 0.5. If g = 10 m/s², then the magnitude of the force acting upward at an angle of 60° from the horizontal that will just start the block moving is

A. 5 N
B. 5.36 N
C. 74.6 N
D. 10 N

ANS: B

94. Potassium metal (3.91 g) is allowed to react with excess oxygen (O₂). The reaction yields 7.11 g of an explosive, yellow solid called a “superoxide.” What is the empirical formula of the compound?

A. KO
B. KO₂
C. K₂O
D. K₂O₃

ANS: B

95. How many moles are contained in 0.206 g of potassium sulfate?

A. 1.63 x 10^-3 mol
B. 846 mol
C. 1.52 x 10^-3 mol
D. 1.18 x 10^-3 mol

ANS: D

96. If there is a positive error of 50% in the measurement of speed of a body, then the error in the measurement of kinetic energy is

A. 25%
B. 50%
C. 100%
D. 125%

ANS: D

97. A particle is moving on a circular path with constant speed v. What is the change in its velocity after it has described an angle of 60°?

A. v√2
B. v√3
C. v
D. 2v

ANS: C

98. A car with a vertical wind shield moves along in a rain storm at speed of 40 km/h. The rain drops fall vertically with a terminal speed of 20 m/s. The angle at which the rain drops strike the wind shield is

A. tan^-1 (2/3)
B. tan^-1 (3/2)
C. tan^-1 (5/9)
D. tan^-1 (9/5)

ANS: C

99. The center of gravity of a body

A. must be within the body
B. may be near but not necessarily within the body
C. can never be precisely located
D. changes its position from time to time

ANS: B

100. The acceleration of a body revolving in a circle at uniform speed is

A. Zero
B. Directed tangentially
C. directed toward the center
D. directed away from the center

ANS: C

Complete List of General Engineering and Applied Sciences Exams: ECE Pre-Board

Series of General Engineering and Applied Sciences Exams: ECE Pre-Board

MCQs in Engineering Economics Part XXVII

This is the Multiples Choice Questions Part 27 of the Series in Engineering Economics as one of the General Engineering and Applied Sciences (GEAS) topic. In Preparation for the ECE Board Exam make sure to expose yourself and familiarize in each and every questions compiled here taken from various sources including past Board Questions in General Engineering and Applied Sciences (GEAS), Engineering Economy Books, Journals and other Engineering Economy References.

Online Questions and Answers in Engineering Economics Series

Following is the list of multiple choice questions in this brand new series:

Engineering Economics MCQs

PART 1: MCQs from Number 1 – 50 Answer key: PART I

PART 2: MCQs from Number 51 – 100 Answer key: PART II

PART 3: MCQs from Number 101 – 150 Answer key: PART III

PART 4: MCQs from Number 151 – 200 Answer key: PART IV

PART 5: MCQs from Number 201 – 250 Answer key: PART V

PART 6: MCQs from Number 251 – 300 Answer key: PART VI

PART 7: MCQs from Number 301 – 350 Answer key: PART VII

PART 8: MCQs from Number 351 – 400 Answer key: PART VIII

PART 9: MCQs from Number 401 – 450 Answer key: PART IX

SEE: More Questions and Answers in Engineering Economics

PART 27: MCQs from Number 1301 – 1350 Answer key: PART XXVII

Continue Practice Exam Test Questions Part XXVII of the Series

Choose the letter of the best answer in each questions.

1301. A fixed capital investment of P10,000,000 is required for a proposed manufacturing plant and an estimated working capital of P2,000,000. Annual depreciation is estimated to be 10% of the fixed capital investment. Determine the rate of return on the total investment and the minimum pay out period if the annual profit is P2,500,000.

a. 20.38% ; 2.68
b. 20.83% ; 2.86
c. 23.80% ; 6.28
d. 23.08% ; 6.66

1302. A 500kw electric lighting plant cost P95 per kw installed. Fixed charges is 14%, operating cost is P0.013 per kw-hr. The plant averages 150kw for 5000 hour of the year, 420 kw for 1000 hour and 20kw for the remainder. What is the unit cost of production of electric energy?

a. P0.0184
b. P0.1084
c. P0.1840
d. P0.8104

1303. A mechanical engineer who was awarded a P450,000 contract to install the machineries of an oil mill failed to finish the work on time. As provided for in the contract, he has to pay a daily penalty equivalent to one fourth of one percent per day for the next ten days and one percent per day for every day thereafter. If the total penalty was P60750, how many days was the completion of the contract delayed?

a. 30 days
b. 22 days
c. 26 days
d. 24 days

1304. By selling balut at P5 per dozen, a vendor gains 20%. The cost of the eggs rises by 12.5%. If he sells at the same price as before, find his new gain %.

a. 5.5%
b. 6.6%
c. 7.7%
d. 7.6%

1305. In a certain department store, the monthly salary of a saleslady is partly constant and partly varies as the value of her sales for the month. When the value of her sales for the month is P10,000, her salary for that month is P900, when her monthly sales goes up to P12,000, her monthly salary goes up to P1,000. What must be the value of her sales for the month so that her salary for that month would be P2,000?

a. P32,000
b. P35,000
c. P30,000
d. P40,000

1306. An equipment installation job in the completion stage can be completed in 50 days of 8 hour day work, with 50 men working. With the contract expiring in 40 days, the mechanical engineer contractor decided to add 15 men on the job, overtime not being permitted. If the liquidated damages is P5,00 per day of delay, and the men are paid P150 per day, how much money would he save with the additional workers?

a. P44570
b. P44750
c. P47540
d. P45407

1307. Jojo bought a second hand Betamax VCR and then sold it to Rudy at a profit of 40%; Rudy then sold the VCR to Noel at a profit of 20%. If Noel paid P2,856 more than it cost Jojo, how much did Jojo pay for the unit?

a. P2200
b. P4400
c. P2400
d. P4200

1308. Dalisay Corporation’s gross margin is 45% of sales. Operating expenses such as sales and administration are 15% of sales. Dalisay is in 40% tax bracket. What percent of sales is their profit after taxes?

a. 18%
b. 5%
c. 24%
d. 0%

1309. A manufacturer of sports equipment produces tennis rackets for which there is a demand of 200 per month. The production setup cost for each lot of racket is O300. IN addition, the inventory carrying cost for each racket is P24 per year. Using the Economic Order Quantity (EQQ) model, which is the best production batch size fro the rackets?

a. 71 units
b. 173 units
c. 245 units
d. 346 units

1310. A manufacturing firm maintains one product assembly line to produce signal generators. Weekly demand for the generators is 35 units. The line operates for 7 hours per day, 5 days per week. What is the maximum production time per unit in hours required of the line to meet the demand?

a. 1 hour
b. 0.75 hours
c. 3 hours
d. 2.25 hours

1311. A businessman wishes to earn 7% on his capital after payment of taxes. If the income from an available investment will be taxed at an average of 42%, what minimum rate or return, before payment of taxes, must the investment offer to be justified?

a. 12.1%
b. 10.7%
c. 11.1%
d. 12.7%

1312. A 200 hp generator is being considered for purchase. The generator will cost P320,000 with a life expectancy of 10 years, with an efficiency of 82%. The maintenance cost per year is P5,000. This generator is used for 300 hours per year and the cost of fuel, oil is P0.12 per kilowatt-hour. (1hp = 0.746kw). Assuming the generator will have no salvage value, what will be the monthly cost of maintaining the generator?

a. P842.40
b. P962.52
c. P786.40
d. P695.40

1313. An engineer buys a machine costing P500,000. Compute the capitalized cost if the machine has a life of 5 years and a salvage value of P80,000. Rate of interest is 12% per annum.

a. P2,424,732
b. P1,050,934
c. P2,431,643
d. P5,124,153

1314. A project costing P250,000 yields a yearly benefit of P80,000 for a period of 10 years with no salvage value at an interest rate of 6%. What is the benefit cost ratio?

a. 4.24
b. 3.85
c. 2.36
d. 4.30

1315. A company constructed its factory with a fixed capital investment of P120M. The net income after the tax and depreciation is expected to be P23m per year. Annual depreciation cost is 10 % of fixed capital investment. Determine the payout period in years.

a. 3.04 years
b. 2.54 years
c. 3.43 years
d. 4.85 years

1316. A machinery costing P720,000 is estimated to have a book value of P40,545.73 when retired at the end of 10 years. Depreciation cost is computed using a constant percentage of the declining book value. What is the annual rate of depreciation?

a. 20%
b. 25%
c. 30%
d. 35%

1317. An asset is purchased for P9,000. Its estimated economic life is 10 years after which it will be sold for P1,000. Find the depreciation in the first three years using straight line method.

a. P2,400.00
b. P2,412.34
c. P2,250.00
d. P2,450.00

1318. An engineer bought an equipment for P500,000. He spent an additional amount of P30,000 for installation and other expenses. The estimated useful life of the equipment is 10 years. The salvage value is x% of the first cost. Using the straight line method of depreciation, the book value at the end of 5 years will be P291,500. What is the value of x?

a. 20%
b. 40%
c. 30%
d. 10%

1319. The initial cost of a paint sand mill, including its installation is P800,000. The BIR approved life of this machine is 10 years for depreciation. The estimated salvage value of the mill is P50,000 and the cost of dismantling is estimated to be P15,000. Using straight line depreciation, what is the annual depreciation charge?

a. P75,500
b. P76,000
c. P76,500
d. P77,000

1320. The initial cost of a paint sand mill, including its installation is P800,000. The BIR approved life of this machine is 10 years for depreciation. The estimated salvage value of the mill is P50,000 and the cost of dismantling is estimated to be P15,000. Using straight line depreciation, what is book value of the machine at the end of 6 years?

a. P341,000
b. P343,000
c. P340,000
d. P342,000

1321. A unit of welding machine cost P45,000 with an estimated life of 5 years. Its salvage value is P2,500. Find its depreciation rate by straight line method.

a. 18.89%
b. 19.21%
c. 19.58%
d. 19.89%

1322. A tax and duty free importation of a 30hp sand mill for painting manufacturing cost P360,000. Bank charges and brokerage cost P5,000. Foundation and installation costs were P25,000. Other incidental expenses amount to P20,000. Salvage value of the mills estimated to be P60,000 after 20 years. Find the appraisal value of the mill using straight line depreciation at the end of 10 years.

a. P234,000
b. P235,000
c. P234,500
d. P235,500

1323. An equipment costs P10,000 with a salvage value of P500 at the end of 10 years. Calculate the annual depreciation cost by sinking fund method at 4% interest.

a. P721.54
b. P724.56
c. P791.26
d. P721.76

1324. An equipment costs P50,000 with a salvage value of P250 at the end of 10 years. Calculate the annual depreciation cost by sinking fund method at 8% interest.

a. P3123.53
b. P3223.75
c. P3434.22
d. P3241.24

1325. An asset is purchased for P12,000. Its estimated economic life is 20 years after which it will be sold for P5,000. Find the depreciation in the first five years using straight line method.

a. P1,450
b. P1,412
c. P1,250
d. P1,750

1326. What is the difference of the amount 5 years from now for a 12% simple interest and 12% compound interest per year?(P8,000 accumulated)

a. P1298.73
b. P1281.24
c. P1224.97
d. P1862.76

1327. Find the discount if P5,500 is discounted for 9 months at 15% compounded quarterly.

a. P2442.09
b. P1248.24
c. P1883.66
d. P2451.99

1328. Find the ordinary simple interest at 7.5% on P5000 and the corresponding amount at the end of 59 days.

a. P2145.24
b. P2241.12
c. P5061.45
d. P5123.24

1329. Find the exact simple interest at 7.5% on P5000 and the corresponding amount at the end of 59 days.

a. P5187.24
b. P5221.12
c. P5021.45
d. P5060.60

1330.) If P1050 accumulate P1275 when invested at a simple interest for 3 years. What is the rate of interest?

a. 4.21%
b. 5.85%
c. 6.73%
d. 7.14%

1331. Determine the exact simple interest on P5,000 investment for the period from January 15, 1996 to October 12, 1996 of the rate of interest in 18%.

a. P666.39
b. P621.22
c. P632.40
d. P636.29

1332. The exact simple interest of P5000, invested from June 21, 1995 to December 25, 1995, is P100. What is the rate of interest?

a. 2.4%
b. 3.2%
c. 2.7%
d. 3.9%

1333. The amount of P50,000 was deposited in the bank earning at 7.5% per annum. Determine the total amount at the end of 5 years if the principle and interest were not withdrawn during the period.

a. P24,257.75
b. P71,781.47
c. P70,024.29
d. P29,240.99

1334. Determine the future amount of P100 for 10.25 years at a rate of 5% compounded monthly.

a. P166.77
b. P224.09
c. P163.12
d. P214.12

1335. Determine the future amount of P100 for 10.25 years at a rate of 5% compounded quarterly.

a. P124.02
b. P166.42
c. P182.42
d. P175.10

1336. Determine the future amount of P100 for 10.25 years at a rate of 5% compounded semi-annually.

a. P153.29
b. P165.90
c. P169.22
d. P173.24

1337. Determine the future amount of P100 for 10.25 years at a rate of 5% compounded daily.

a. P129.24
b. P166.94
c. P195.32
d. P128.87

1338. What is the present worth of a P500 annuity starting at the end of the third year and continuing to the end of the fourth year, if the annual interest rate is 10%?

a. P717.17
b. P252.91
c. P720.24
d. P287.09

1339. Today a businessman borrowed money to be paid in 10 equal payments for 10 quarters. If the interest rate is 10% compounded quarterly and the quarterly payment is P2,000, how much did he borrow?

a. P24214.23
b. P24311.53
c. P15125.24
d. P17504.13

1340. What annuity is required over 12 years to equate with a future amount of P20,000? Assume i=6% annually.

a. P1121.24
b. P1244.22
c. P2314.12
d. P1185.54

1341. Find the annual payment to extinguish a debt of P10,000 payable for 6 years at 12% interest annually.

a. P2214.42
b. P2432.26
c. P2525.24
d. P2044.83

1342. A bond issue of P50,000 in 10 years, bonds in P1000 units paying 10% interest in annual payments, must be retired by the use of sinking fund which earns 8% compounded annually. What is the total cost for the interest ad retirement of the entire bond issue.

a. P82,241
b. P84,150
c. P82,214
d. P84,510

1343. Determine the amount of interest you would receive per period if you purchase a 6%, P5000 bond which matures in 10 years with interest payable quarterly.

a. P24
b. P98
c. P75
d. P52

1344. A corporation floats callable bonds amounting to P100,000 each having a par value of P500, the bond rate is 7.5% and the bonds are to be retired in 5 years, the annual payments being as nearly equal as possible. What is the total payment for the whole period of 5 years?

a. P123,625
b. P124,241
c. P214,124
d. P923,124

1345. A book store purchased the best selling book at P200. At what price should this book be sold so that by giving a 20% discount, the profit is 30%.

a. P200
b. P300
c. P400
d. P500

1246. The selling price of a tv set is double that of its net cost. If the tv set is sold to a customer at a profit of 25% of the net cost, how much discount was given to the customer?

a. 35.8%
b. 37.5%
c. 34.5%
d. 44.5%

1347. A manufacturing firm maintains one product assembly line to produce signal generators. Weekly demand for the generators is 35 units. The line operates for 7 hours per day, 5 days per week. What is the maximum production time per unit in hours required of the line to meet the demand?

a. 1 hour
b. 2 hours
c. 3 hours
d. 4 hours

1348. Mahusay Corporation’s gross margin is 55% of sales. Operating expenses such as sales and administration are 5% of sales. Mahusay is in 40% tax bracket. What percent of sales is their profit after taxes?

a. 20%
b. 30%
c. 40%
d. 50%

1349. How much money must you invest in order to withdraw P5000 annually for 20 years if the interest rate is 12%?

a. P37,347.22
b. P23,325.23
c. P38,243.29
d. P27,124.09

1350. If interest is at rate of 10% compounded semi-annually, what sum must be invested at the end of each 6 months to accumulate a fund of P12,000 at the end of 8 years?

a. P507.24
b. P451.24
c. P247.24
d. P694.92

Complete List of MCQs in General Engineering and Applied Science per topic

Series of MCQs in General Engineering and Applied Science

MCQs in Engineering Economics Part XXVI

This is the Multiples Choice Questions Part 26 of the Series in Engineering Economics as one of the General Engineering and Applied Sciences (GEAS) topic. In Preparation for the ECE Board Exam make sure to expose yourself and familiarize in each and every questions compiled here taken from various sources including past Board Questions in General Engineering and Applied Sciences (GEAS), Engineering Economy Books, Journals and other Engineering Economy References.