BME 601/ME 601: Mathematics, General Sciences, Economy and ME Laws and Ethics
ALGEBRA
1. For all x >2, (2x2 + 2x - 12) / (x - 2) simplifies to
a. 2(x + 3) b. 2(x - 2)
c. x + 3
d. 2(x + 3)(x - 2)
2. Solve for x: x = logb a ×logc d × logd c
a. logb a
b. loga c
c. logb c
d. logd a
3. Solve for x in the following equation: x + 3x + 5x + 7x + … + 49x = 625
a. 2
b. 1 c. ½
d. 1/3
4. z varies directly as x and inversely as y^2. If x = 1 and y = 2, then z = 2. Find z when x =
3 and y = 4.
a. 1.5
b. 0.5
c. 2.5
d. 3.5
5. Given that w varies directly as the product of x and y and inversely as the square of z
and that w=4 when x=2, y=6, and z=3. Find w when x=1, y=4 and z=2.
a. 4
b. 2
c. 1
d. 3
TRIGONOMETRY
6. ABC is an equilateral triangle. AH is perpendicular to BC and has a length of 2√3 inches.
What is the area, in square inches, of triangle Δ ABC.
a. 3√3
b. 2√3
c. 4√3
d. 8√3
7. In a triangle ABC with segment BD, B is on AD, ∠ BAC and ∠ ACB measure 26° and
131° respectively. What is the measure of ∠CBD?
a. 26°
b. 157°
c. 23°
d. 154°
8. Solve the trigonometric equation: (3cosx + 7) (-2sinx – 1) = 0
a. 7Pi / 6 + 2n Pi , 11Pi / 6 + 2n Pi
b. Pi / 3 + 2n Pi , 2Pi / 3 + 2n Pi
c. 7Pi / 6 + n Pi , 11Pi / 6 + n Pi
d. -7 / 3 , -1 / 2
9.
If cos ϴ = √3 / 2, find 1 – tan2Ө.
a. -1
b. -1/2
c. 2/3
d. 2
2
10. Solve the trigonometric equation “-2sec x + 4 = -2secx” in the interval [0, 2Pi].
a. Pi / 3 , 5Pi / 3 , Pi
b. Pi
c. -1 , 2
d. Pi / 6 , 5Pi / 6 , Pi
ANALYTIC GEOMETRY & SOLID MENSURATION
11. A cylinder of radius 5 cm is inserted within a cylinder of radius 10 cm. The two cylinders
have the same height of 20 cm. What is the volume of the region between the two
cylinders?
a.500Pi
b. 1000Pi
c. 1500Pi
d. 2000Pi
12. When graphed in the (x, y) coordinate plane, at what point do the lines 2x + 3y = 5 and x
= -2 intersect?
a. (-2, 0)
b. (-2, 5)
c. (0, 5)
d. (-2, 3)
13. What is the slope of the line: 4x = -3y + 8
a. 4
b. -3/4
c. -4/3
d. 3
14. Compute the volume (in cm3) of a sphere inscribe in an octahedron having sides equal
to 18 cm.
a. 1622.33
b. 1875.45 c. 1663.22 d. 1892.63
BME 601/ME 601: Mathematics, General Sciences, Economy and ME Laws and Ethics
15. The lines with equations x + 3y = 2 and -2x + ky = 5 are perpendicular for k =?
a.1/3
b. 2/3
c. 2/4
d. ¼
DIFFERENTIAL CALCULUS
16. The domain of f(x) = √(4 - x2) / √(x2 - 1) is given by the interval
a.(-2 , 2) U (-1 , 2)
b.(-2 , -1) U (1 , 2)
c. (-2 , 2) U (-1 , 1)
d. (-2 , -1) U (1 , 2)
17. Find the point on the curve y = x3 at which the tangent line is perpendicular to the line 3x
+ 9y = 4.
a. (1, 1)
b. (1, -1)
c. (-1, 2)
d. (-2, -1)
18. The chords of the ellipse 64x^2 + 25y^2 = 1600 having equal slopes of 1/5 are bisected
by its diameter. Determine the equation of the diameter of the ellipse.
a. 5x – 64y = 0
b. 64x – 5y = 0
c. 5x + 64y = 0
d. 64x + 5y = 0
19. A snowball is being made so that its volume increases at the rate of 8 ft3/min. Find the
rate at which the radius is increasing when the snowball is 4 ft in diameter.
a.0.159 ft/min
b. 0.015 ft/min
c. 0.259 ft/min
d. 0.325 ft/min
20. Given the equation: y = (e ln x)2, find y’.
a. ln x
b. 2 (ln x) / x
c. 2x
d. 2 e ln x
INTEGRAL CALCULUS
21. Integrate: (7𝑥 3 + 4𝑥 2 ) 𝑑𝑥
a.
b.
c.
7𝑥 3
4𝑥 2
+
+ 𝐶
3
2
7𝑥 4
4𝑥 2
+ 5 + 𝐶
4
𝟕𝒙𝟒
𝟒𝒙𝟑
+ 𝟑 + 𝑪
𝟒
4𝑥 2
7𝑥 4 −
+𝐶
2
d.
22. Find the area under the curve y = 𝑥 3 + 3𝑥 2 and the x-axis between x = 1 and x = 3.
a. 28 sq. units b. 46 sq. units
c. 36 sq. units
d. 54 sq. units
23. Find the volume generated by rotating the region bounded by 𝑦 = 𝑥, 𝑥 = 1, and 𝑦 2 = 4𝑥,
about the 𝑥-axis. Ans. 5/3 pi
a.
𝜋
b.
2𝜋
c.
𝟑𝝅
d.
9𝜋
24. A solid formed by revolving about the y-axis, the area bounded by the curve y = x4, the
y-axis, and the line y = 16. Find its centroid.
a. (0, 9.6)
b. (0, 12.4)
c. (0, 8.3)
d. (0, 12.8)
25. Find the work done in stretching a spring of natural length 8 cm, from 10 cm to 13 cm.
Assume a force of 6 N is needed to hold it at a length of 11 cm.
a. 21 N-m
b. 2.1 N-m
c. 0.21 N-m
d. 0.021 N-m
DIFFERENTIAL EQUATIONS
26. Obtain the differential equation of the family of straight lines with slope and y-intercept
equal.
a. 𝑦 𝑑𝑦 + (𝑥 + 1)𝑑𝑥 = 0
BME 601/ME 601: Mathematics, General Sciences, Economy and ME Laws and Ethics
b. 𝑦 𝑑𝑦 − (𝑥 + 1)𝑑𝑥 = 0
c. 𝑦 𝑑𝑥 + (𝑥 + 1)𝑑𝑦 = 0
d. 𝒚 𝒅𝒙 − (𝒙 + 𝟏)𝒅𝒚 = 𝟎
27. What is not true for the differential equation 𝑦 ′ + 𝑦/𝑥 2 = 1/𝑥 2 ?
a. it is linear
b. it is homogeneous
c. it is separable
d. it can be solved using the integrating factor 𝑒 −1/𝑥
28. A thermometer reading 18 oC is brought into a room where the temperature is 70 oC; 1
minute later the thermometer reading is 31 oC. Determine the thermometer reading 5
minutes after it is brought into the room.
a. 62.33 oC
b. 58.99 oC
c. 56.55 oC
d. 57.66 oC
29. Find the equation of the curve at every point of which the tangent line has a slope of 2x.
a. x = -y^2 + C b. y = -x^2 + C
c. x = y^2 + C
d. y = x^2 + C
30. Find the equation of the curve which passes through points (1, 4) and (0, 2) if d^2 y/ dx^2
=1
a. 2y = x^2 + 3x + 4
b. 4y = 2x^2 + x + 4
c. 5y = x^2 + 2x + 2
d. 3y = x^2 + x + 4
PROBABILITY & STATISTICS
31. A two-digit number is chosen randomly. What is the probability that it is divisible by 7?
a. 7/50
b. 13/90
c. 1/7
d. 7/45
32. If two random variables are independently distributed, what is their relationship?
a.
They are not identically distributed.
b.
They are uncorrelated
c.
They are correlated.
d.
They are mutually exclusive.
33. If the probability that a basketball player sinks the basket at 3-point range is 2/5,
determine the probability of shooting 5 out of 8 attempts.
a. 12.4%
b. 15.67%
c. 25%
d. 28.4%
34. The UN forces for Bosnia uses a type of missile that hits the target with a probability of
0.3. How many missiles should be fired so that there is at least an 80% probability of
hitting the target?
a. 2
b. 4
c. 5
d. 3
35. In a dice game, one fair is used. The player wins P20.00 if he rolls either 1 or 6. He
losses P10.00 if he turns up any other face. What is the expected winning for one roll of
the die?
a. P40.00
b. P0.00
c. P20.00
d. P10.00
PHYSICS
36. A load of 100 lb is hung from the middle of a rope, which is stretched between two rigid
wall 30 ft. apart. Due to the load, the rope sags 4 ft in the middle. Determine the tension
of the rope.
a. 194.05 lb
b. 329.54 lb
c. 218 .67 lb d. 189.35 lb
BME 601/ME 601: Mathematics, General Sciences, Economy and ME Laws and Ethics
37. A ball thrown vertically into the air at 120 m/s. after 3 seconds another ball is thrown.
What initial velocity must be the second ball had to pass the first ball at 100 m from the
ground?
a. 183.65 m/s
b. 105.9 m/s
c. 231.89 m/s
d. 312.9 m/s
38. A man can exert a maximum pull of 1000 N but wishes to lift a new stone door for his
cave weighing 20,000. If he uses level how much closer must the fulcrum be to the stone
than to his hand?
a. 10 time nearer
b. 20 times father
c. 10 times farther
d. 20 times nearer
39. Three blocks A, B and C are placed on a horizontal frictionless surface and are connected
by chords between A, B and C. Determine the tension between block B and C when a
horizontal tensile force is applied at C = 6.5 N. Masses of blocks are A = 1.2 kg, B 2.4 kg,
and C = 3.1 kg.
a. 3.50 N
b. 4.21 N
c. 3.89 N
d. 4.65 N
40. Two mass collide on a frictionless horizontal floor and perfectly inelastic collision. Mass 1
is 4 times Mass 2; velocity of mass 1 is 10 m/s to the right while mass 2 is 20 m/s to the
left. What is the velocity and direction of the resulting combined mass?
a. 10 m/s to the right
c. 4 m/s to the right
b. 10 m/s to the left
d. 1.5 m/s to the left
MECHANICS
41. A simply supported beam is five meters length. It carries a uniformly distributed load
including its own weight of 200 N/m and a concentrated load of 100N, 2 meters from the
left end. Find the reaction A at the left end and reaction B at the right end.
a. 660; 500
b. 550;280
c. 700;810
d. 890;720
42. A load of 100 lb is hung from the middle of the rope, which is stretched between two rigid
walls 30ft. apart. Due to the load, the rope sags 4 feet in the middle. Determine the tension
in the rope.
a. 165lbs.
b. 173lbs.
c. 194lbs.
d. 149lbs.
43. If the ultimate shear strength of a steel plate is 42,000 psi, what force is necessary to
punch a 0.75inch diameter hole in a 0.625inch thick plate?
a. 63,000
b. 68,080
c. 61, 850
d. 66,800
44. A man can exert a maximum pull of 1000N but wishes to lift a new stone door for his cave
weighing 20,000N. If he uses a lever, how much closer must the fulcrum be to the stone
then to his hand?
a. 10 times nearer
c. 20 times farther
b. 10 times farther
d. 20 times nearer
45. A 40kg block is resting on an inclined plane making an angle of 20deg from the horizontal.
If the coefficient of friction is 0.60, determine the force parallel to the incline that must be
applied to cause impending motion down the plane.
a. 82
b. 77
c. 87
d. 72
46. What is the inertia of a bowling ball (mass = 0.5kg) of radius 15cm rotating at an angular
speed of 10rpm for 6 seconds?
A. 0.001kg-m^2
B. 0.002kg-m^2
C. 0.005kg-m^2
D. 0.0045kg-m^2
BME 601/ME 601: Mathematics, General Sciences, Economy and ME Laws and Ethics
47. A simply supported beam 10m long carries a uniformly distributed load of 20kN/m. What
is the value of the maximum shear of the beam due to this load?
a. 250KN
b. 100kN
c. 1000kN
d. 500KN
48. A force of 10 N is applied to one end of a 10 inches diameter circular rod. Calculate the
stress.
a. 0.20 kPa
b. 0.05 kPa
c. 0.10 kPa
d. 0.15 kPa
49. The maximum allowable torque, in kN-m, for a 50-mm diameter steel shaft when the
allowable shearing stress is 81.5 MPa is:
a. 3.0
b. 1.0
c. 4.0
d. 2.0
50. Compute the value of the shear modulus G of steel whose modulus of elasticity E is 200
GPa and Poisson’s ratio 𝜇 is 0.30.
a. 72,456 MPa
b. 76,923 MPa
c. 79,698 MPa
d. 82,400 MPa
THERMODYNAMICS 1
51. Ammonia weighing 22 kgs is confirmed inside a cylinder equipped with a piston has an
initial pressure of 413 Kpa at 35 degC if 3200 KJ of heat is added to the ammonia until
its final pressure and temperature are 413 Kpa and 100 DegC respectively, what is the
amount of work done by the gas.
a. 667
b. 304
c. 420
d. 502
52. If air is at a pressure, ρ , of 3200 lbf/ft2, and at a temperature, T , of 800°R, what is the
specific volume, v? (R = 53.3 ft-lbf/lbm-°R, and air can model as an ideal gas)
a. 9.8 ft3/lbm
b. 11.2 ft3/lbm
c. 13.3 ft3/lbm
d. 14.2 ft3/lbm
53. A 5m3 vessel initially contains 50 kg of lquid water and saturated water vapor at total
internal energy of 27,3000 kJ. Calculate the heat requirement to vaporize all of the liquid.
a. 100,000 kJ
b. 2,000,000 kJ
c. 300,000 kJ
d. 400,000 Kj
54. Cool water at 9 deg. C enters hot-water from which warm water at a temperature of 80
deg. C is drawn at an average rate of 300 g/min. How much average electric power does
the heater consume in order to provide hot water at this rate?
a. 4.18 kW
b. 2.35 kW
c. 3.31 kW
d. 5.14 kW
55. Air is compressed adiabatically from 30degC to 100degC. If mass of air being
compressed is 5kg, Find the change of entropy?
a. 1.039 kj/kg
b. 0.746 kj/kg
c. 0
d. 1.245 kj/kg
THERMODYNAMICS 2
56. The thermal efficiency of a Carnot cycle operating between 170 ˚C and 620 C
̊ is closest
to:
a. 40%
b. 63%
c. 50%
d. 73%
57. A diesel cycle has a cut-off ratio 2.20 and a compression ratio of 10. Find the cycle
efficiency.
a. 55.10%
b. 52.23%
BME 601/ME 601: Mathematics, General Sciences, Economy and ME Laws and Ethics
c. 59.735%
d. 62.37%
58. An Otto cycle has an initial pressure of 100 kpa and has a pressure of 400 kpa after
adiabatic compression. Find the cycle efficiency.
a. 32.70%
b. 36.70%
c. 34.70%
d. 38.70%
59. Second law limitation on the maximum horsepower output from any power until burning
1,000,000 BTU/hr of fuel with high and low temperature extremes of 1540F and 40F is:
a. 98
b. 295
c. 1140
d. 3830
60. Carnot cycle A, B, and C are connected in series so that the heat rejected from A will be
the heat added to B and heat rejected from B will be added to C, each cycle operates
between 30˚C to 400˚C. If heat added to A is 1000 kW, find the work output of C.
a. 111.44 kW
b. 549.78 kW
c. 247.53 kW
d. 141.69 kW
HEAT TRANSFER
61. Water is boiling in a pan on a stove at sea level. During 10 minutes of boiling, it is
observed that 200 grams of water has evaporated. Then the rate of heat transfer to the
water is:
a. 0.84 KJ/min
b. 45.1 KJ/min
c. 41.8 KJ/min
d. 53.5 KJ/min
62. An aluminum pan whose thermal conductivity is 237 W/m-C has a flat bottom whose
diameter is 20 cm and thickness 0.4 cm. heat is transferred steadily to boiling water in
the pan through its bottom at a rate of 500 watts. If the inner surface of the bottom of the
pan is 105 deg. C, determine the temperature of the surface of the bottom of the pan
a. 95.37 deg. C
b. 105.27 deg. C
c. 115. 27 deg. C
d. 125.27 deg. C
63. A frictionless piston-cylinder device and a rigid tank contain 1.2 kmol of ideal gas at the
same temperature, pressure and volume. Now heat is transferred, and the temperature
of both system is raised by 15 deg. C. the amount of extra heat that must be supplied to
the gas in the cylinder that is maintained at constant pressure.
a. 0
b. 50 KJ
c. 100 KJ
d. 150 KJ
64. A plate type solar energy collector with absorbing surface covered by a glass plate is to
receive an incident Radiation of 800 W/m^2. The glass plate has a reflectivity of 0.12
and a transitivity of 0.85. The absorbing surface has an absorptivity of 0.90. The area of
the collector is 5 m^2. How much solar energy in watts is absorbed by the collector?
a. 2500
b. 2880
c. 3510
d. 3060
65. A turbo-charged, 16 cylinder, Vee-type diesel engine has an air consumption of 3,000
kg/hr per cylinder at rate load and speed. This air is drawn in through a filter by a
centrifugal compressor directly connected to the exhaust gas turine. The temperature of
the air from the compressor is 135C and a counter flow air cooler reduces the air
temperature to 45C before it goes to the engine suction heater. Cooling water enters air
cooler at 30C and leaves at 40C. Calculate the log mean temperature difference.
a. 47.23C
b. 87.82C
c. 43.34C
d. 65.24C
BME 601/ME 601: Mathematics, General Sciences, Economy and ME Laws and Ethics
FLUID MECHANICS
66. The Reynolds number of a sphere falling in air is 1 x 106. If the sphere’s radius is 1 ft,
what is its velocity? Density of air = 0.0034 slug/ft3, viscosity of air = 3.8 x10-7 lbf-sec/ft2.
a. 2.5 ft/sec
b. 5.1 ft/sec
c. 40.6 ft/sec
d. 81.2 ft/sec
67. A 300 mm diameter pipe discharge water at the rate of 200 li/sec. point 1 on the pipe
has a pressure of 260 kPa and 3.4 m below point 1 is point 2 with a pressure of 300 kPa.
Compute the head loss between points 1 and 2 in meter
a. 4.29
b. 1.87
c. 6.82
d. 2.59
68. Water flowing at the rate of 10 m/s from an orifice at the bottom of a reservoir. Find the
pressure at the bottom of reservoir.
a. 30 kpag
b. 40 kpag
c. 50 kpag
d. 60 kpag
69. Ice in an iceberg has a specific gravity of 0.922. when floating in sea water (SG = 1.03),
its exposed volume % is nearest to:
a.5.6
c. 8.9
b. 7.4
d. 10.5
70. A floating cylinder 8 cm in diameter in weighing 950 gms is placed in a cylindrical container
20 cm in diameter partially full of water. The increase in the depth of water in the container
due to placing the float in it is:
a.10cm
c. 3 cm
b. 5cm
d. 2 cm
FUELS & COMBUSTIONS
71. The atomic weight of hydrogen is 1 gram per gram atom. What is the mass of the
hydrogen atom?
a. 1.66X10-24 g/atom
C. 1.00X19-23 g/atom
b. 6.02X10-10 g/atom
D. 1 g/atom
72. A diesel electric plant supplies energy for plant. During 24-hr period, the plant consumed
240 gallons of fuel at 28C and produced 3,930 kW-hr. industrial fuel used is 28 API and
was purchased at P30.00 per liter at 15.6C. What is the cost of fuel be to produce on
kW-Hr?
a. P7.86
b. P6.87
c. P8.54
d. P5.87
73. A methyl alcohol (CH3OH) is burned with 25% excess air, how much unburned oxygen in
kg-mol-oxygen/kg-mol-fuel will there be in the produce if the combustion is complete?
a. 0.85
b.0.35
c. 0.38
c. 0.65
74. A gaseous fuel mixture has a molal analysis:
H2 =14%
CH4 = 3%
CO = 27%
O2 = 0.6%
CO2=4.5%
N2 =50.9%
Determine the air-fuel ratio for complete combustion on molal basis.
a. 2.130
b. 3.230
c. 1.233
d. 1.130
75. Given the following ultimate analysis:
C = 70%
O2 = 4%
N2 = 5%
S2 = 6%
Moisture = 8%
H2 = 3%
Ash = 5%
Using 25% excess air, determine the actual air fuel ratio.
a. 11.46
b. 24.85
c. 23.85
d. 26.85
BME 601/ME 601: Mathematics, General Sciences, Economy and ME Laws and Ethics
ME LAWS & ETHICS
76. Prior to Republic Act 8495, what law governs the practice of mechanical engineering the
Philippines?
a. Republic Act No. 5124
b. Commonwealth Act No. 294
c. Commonwealth Act No. 293
d. Republic Act No. 2934
77. One best known practice in industrial plant is:
a. To provide alert security guards
b. To provide machines with appropriate guards
c. To maintain a fire brigade
d. To train delivery personnel
78. Which of the four does not belong to the group?
a. Class D Fire – fire caused by LPG
b. Class B Fire – fire caused by oil and other hydrocarbons.
c. Class C Fire – electrical fire
d. Class A Fire – fire caused by light combustible materials like paper and wood.
79. On existing installation boiler, the lowest factor of safety permissible shall be.
a. 7
b. 6
c. 5
d. 4.5
80. A plant with rated capacity 500 kW requires with 3 shifts has:
a. At least one(1) registered mechanical engineer or Professional Mechanical engineer
for all three shifts
b. At least two(2) registered mechanical engineer or Professional Mechanical engineer
for all three shifts
c. At least three(3) registered mechanical engineer or
Professional Mechanical engineer, one per shift
d. At least four (4) registered mechanical engineer or Professional Mechanical engineer,
one per shift plus one (1) as a buffer
ENGINEERING ECONOMY
81. If a mechanical engineer borrowed money from his girlfriend with simple interest of 12%,
determine the present worth of P75,000.00 which is due at the end of 7 months.
a. P72,200.20
b. P70,200.20
c. P73,900.50
d. P70,093.20
82. The salary of an employee’s job has five levels, each one 5% greater than the one below
it. Due to circumstances, the salary of the employee must be reduced from the top (fifth)
level to the second level, which means a reduction of 3000.00 per month. What is the
employees present salary per month?
a. P22,032.50
BME 601/ME 601: Mathematics, General Sciences, Economy and ME Laws and Ethics
b. P23,022.50
c. P22,320.50
d. P22,302.50
83. If the loan was for 15 months at 16.8% interest a year and the repayment on a loan was
P12,100.00, how much was the principal?
a. P8,500.00
b. P9,500.00
c. P10,000.00
d. P10,500.00
84. What is the effective rate equivalent of 12% compounded quarterly?
a. 12.55%
b. 11.55%
c. 12.98%
d. 13%
85. Celestino owes P500, due in 3 years and P800 due in 7 years. He is allowed to settle
these obligations by a single payment on the 6th year. Find how much he has to pay on
the 6th year if money is worth 14% compounded semi-annually.
a. P1,449.12
b. P1,559.12
c. P1,339.12
d. P1,669.12
86. What is the simple interest rate if an investment of P37,500.00 accumulates to
P45,937.5 in 18 months?
a. 0.15
b. 0.20
c. 0.21
d. 0.3
87. An equipment costing P250,000 has an estimated life of 15 years with a book value of
P30,000 at the end of the period. Compute the depreciation charge and its book value
after 10 years using declining balance method.
a. d = P9,456.78; BV = P67,456.98
b. d = P8,987.45; BV = P60,832.80
c. d = P9,235.93; BV = P60,832.80
d. d = P9,235.93; BV = P59,987.34
88. An asset costing P50,000 has a life expectancy of 6 years and an estimated salvage
value of P8,000. Calculate the depreciation charge at the end of the fourth period using
fixed-percentage method.
a. P7144.20
b. P5264.00
c. P3878.40
d. P2857.60
89. A machine costing P45,000 is estimated to have a salvage value of P4,350 when retired
at the end of 6 years. Depreciation cost is computed using a constant percentage of the
declining book value. What is the annual rate of depreciation in %?
a. 33.25%
BME 601/ME 601: Mathematics, General Sciences, Economy and ME Laws and Ethics
b. 32.25%
c. 35.25%
d. 34.25%
90. A machine costs P8,000.00 and an estimated life of 10 years with a salvage value of
P500.00. What is its book value after 8 years using straight line method?
a. P2,500.00
b. P4,000.00
c. P3,000.00
d. P2,000.00
AC/DC
91. A transformer has a turns ratio of 4: 1. What is the peak secondary voltage if 115 V rms is
applied to the primary winding?
A. 40.7 V
C. 163 V
B. 64.6 V
D. 650 V
92. In a motor the armature resistance is 0.1 ohm. When connected across 110-volt mains
the armature takes 20 amp, and its speed is 1,200 rpm. Determine its speed when the
armature takes 50 amp from the same mains, with the field increased 10 percent.
a. 1282 rpm
b. 1029 rpm
c. 1061 rpm
d. 1930 rpm
93. What is the equation of a 25-cycle-current sine wave, having an rms value of 30 amp,
and what is the value of the current when the time is 0.005 sec ?
a. i = 42.4 sin 157t, 30 amp.
c. i = 32.4 sin 156t, 30 amp.
b. i = 42.4 sin 157t, 33 amp.
d. i = 32.4 sin 156t, 33 amp.
94. An ideal step-up transformer with 100 turns in the primary and 2000 turns in the secondary
carries a load of 5A in the secondary windings. What is the current in the primary side?
A. 50A
C. 100A
B. 0.08A
D. 1,250A
95. What is the equivalent capacitance of two series capacitors rated 4 and 6 µF
respectively?
a. 2.4
c. 0.416
b. 10
d. 0.9
BASIC ELECTRONICS
96. The audible sound frequency is in the range of which of the following.
a. Above 20,000 Hz
b. below 20 Hz
c. between 100 and 1000 Hz
d. 10 to 20,000 Hz
97. Which statement is about a charge placed in dielectric material is true?
a. The charge increases the conductivity of the material.
b. The charged is confined to the region in which the charge was placed
c. The charge is immediately lost to the atmosphere.
d. The charge is instantly carried to the material surface
98. In a circuit, three resistors of 12, 15 and 20 ohms are connected in series. Find the
potential at the source if the current flowing is 6 amp?
A. 90 V
C. 180 V
B. 282 V
D. 45 V
BME 601/ME 601: Mathematics, General Sciences, Economy and ME Laws and Ethics
99. Two resistances of 8 and 10 ohms respectively are connected in parallel and take a total
current of 9A. What is the current flowing in the 8 – ohm resistance?
a. 5 A
c. 6 A
b. 4 A
d. 3 A
100.
Find the amperages of a 5 kVA load on a 220V, three-phase branch circuit?
a. 13A
c. 12.7A
b. 8.66A
d. 22A