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WorksheetsOS Quiz to Win
Total questions: 40
Worksheet time: 37mins
Anna notices that the ratio of boys to the number of girls in her class is 7:8. If there are 75 students in his class, how many of them are boys?
35
25
40
30
50
Which of the following has the least modulus of elasticity?
steel
copper
glass
aluminum
bronze
In an electric company, the probability of passing an IQ test is 0.75. If ten applicants took the test, what is the theoretical standard deviation of the group? Express your answer with three (3) decimal places.
(a)
What is the size in square millimeter (mm2) is the cable 300 MCM size?
163
144
127
132
152
An object travels at a constant speed of 10 m/s for 10 s. During the next 5 s, it accelerates uniformly to 20 m/s. What is the total distance travelled by the object?
150 m
175 m
200 m
250 m
300 m
A table-tennis ball has a diameter of 3.80 cm and an average density of 0.0840 g/cm3. What force, in dynes, is required to hold it completely submerged under water? Use g = 980.66 cm/s^2. Express your answer to the nearest whole number.
(a)
The speed armature current characteristics of a d.c. series motor is
Rectangular hyperbola
Linear
Parabolic
Parabolic till saturation then linear
How many diagonals are there in a polygon with 20 sides?
(a)
A 3 phase, wye connected, wound rotor synchronous generator rated at 10 kVA, 230 volts has a synchronous reactance of 1.2 ohms/phase and an armature resistance of 0.5 ohms/phase. What is the percent voltage regulation at full load with an 80% leading power factor?
-0.92%
-5.14%
-3.08%
-3.91%
-2.67%
A piston cylinder device initially contains 0.6 m^3 of air at 120 kPa and 80°C. Determine the work done if the air is compressed isothermally to a final volume of 0.25 m^3.
–68 kJ
–78 kJ
–73 kJ
–63 kJ
None of the choices
The circumferences of two circles are 6π and 10π. What is the ratio of their areas? Express your answer in the simplest fraction.
(a)
A solenoid 18 cm long and 2.25 cm in diameter has an inductance of 0.064 H. How many turns of wire does it have?
4000
5200
4800
3700
6600
What is the moment of inertia with respect to the axis of revolution of a circular disk of a turntable used by a DJ if the mass of the disk is 70 grams and its radius is 1.5 inches?
78.75 gram-ft^2
11340 gram-in^2
50.81 kg-m^2
0.51 kg-cm^2
The resistance of a transformer winding is 0.28 ohm at 25°C. When operating at full load, the temperature of the winding is 75 °C. The temperature coefficient for copper is 0.0042 per °C. What is the winding resistance at full load? Express your answer in three-decimal places.
(a)
What is the total impedance in ohms of a resistance of 250 ohms connected in parallel with a capacitive reactance of 280 ohms?
139 - j142 ohms
139 - j124 ohms
193 - j124 ohms
193 - j142 ohms
The bob of a pendulum swings through an arc 24 cm long on its first swing. If each successive swing is approximately 7/8 the length of the preceding swing, find the approximate total distance it travels before coming to rest.
(a)
If the tangent of angle x is -3/4 and x is in QII, find the value of sin 2x.
7/25
24/25
-7/25
-24/25
Three capacitors with capacitances of 5 μF, 10 μF, and 15 μF are connected in series across a 100-volt source. What is the voltage across the 10 μF capacitor? Express your answer with one (1) decimal place.
(a)
Which of the terms in the expansion (y^3 + y^-1)^10 will involve y^2?
5th term
6th term
7th term
8th term
9th term
A coil has an impedance of 77 Ω when connected across a source of 60 Hz. The same coil yields an impedance of 55 Ω when connected across a source having a different frequency of 30 Hz. What is the coil’s inductance in millihenry? Express your answer to the nearest whole number.
(a)
Fred wants to buy a refrigerator that will have a price of P13000 for 90 days from now due to the increase in prices of 12 percent simple interest. What is the present worth of the refrigerator?
P13731
14241
P15951
P12621
P11811
Find the average power (in watts) absorbed by a balanced three-phase load in an ABC circuit in which Vcb = 208∠15° and Ib = 3∠110°?
(a)
A savings association pays 1.5% quarterly. What is the effective annual interest rate?
1.51%
1.15%
6.14%
6.41%
6.00%
An angle in standard position whose side falls along one of the coordinate axes is called a (a) angle.
A plant erected to manufacture socks has a first cost of P12,500,000 with an estimated salvage value of P120,000 at the end of 25 years. Find its appraisal value to the nearest P100 by the sinking method, assuming an interest rate of 5% at the end of 10 years.
P7621600
P8567500
P6955300
P9237400
P5473300
Find the area of a regular hexagon inscribed in a circle of radius 2 feet.
6sqrt(3) sq. feet
7sqrt(3) sq. feet
8sqrt(3) sq. feet
9sqrt(3) sq. feet
10sqrt(3) sq. feet
Two identical single phase transformers are connected open delta bank supplying a 3-phase load of 150 kVA at 0.8 pf lagging. Find the kW load of each transformer.
24 and 96
18 and 102
28 and 92
34 and 86
20 and 100
A 10 mm bar 15 m long is attached to the ceiling at one end. If a weight of 50 KN is hung on its lower end, what is the total elongation? Use E = 210 GPa and unit mass of 7850 kg/m^3. Use g = 9.81 m/s^2. Express your answer in mm with 3 decimal places.
(a)
Which of the following motors is typically found in low-horsepower applications?
Permanent DC Motors
Shunt Motors
Compound DC Motors
Series Motors
Universal Motors
The eccentricity of the hyperbola 16(y – 6)^2 – 9(x – 7)^2 = 144 is equal to (a) . Express your answer as a fraction in its simplest form.
Electrical power output in a DC generator is equal to:
Electrical power developed in armature – copper losses
Mechanical power input – iron and friction losses
Electrical power developed in armature – iron and copper losses
Mechanical power input – iron and friction losses – copper losses
From a group of 6 men and 5 women, in how many ways can we select a group of 4 men and 3 women?
(a)
500 V, D.C. shunt motor draws a line current of 5 amps, on light load. If armature resistance is 0.15 ohm, and field resistance is 200 ohms, determine the efficiency of the machine running as a generator, delivering a load current of 40 Amp.
85.6%
87.8%
86.4%
88.2%
84.9%
(a) is the point that is equidistant from the vertices of a triangle.
An 8 MVA, 69/13.2 kV transformer has a 7.5% impedance. What is the actual impedance, in ohms, referred to as the low voltage side? Express your answer with four (4) decimal places.
(a)
A fan that consumes 20 W of electric power when operating is claimed to discharge air from a ventilated room at a rate of 0.25 kg/s at a discharge velocity of v m/s. In two (2) decimal places, determine the value of v.
(a)
The rotor of a 3-phase, 60 Hz, 4 pole induction motor takes 100 kW at 5 Hz. What is the rotor speed of the induction motor?
(a)
A 20-mm diameter rod, 250 mm long is subjected to a tensile force of 350 kN. If the Poisson’s ratio is 0.33, determine the new diameter of the rod. Use E = 200 GPa.
19.9632 mm
19.9485 mm
19.9697 mm
19.9420 mm
19.9533 mm
A synchronous generator having a subtransient reactance of 0.15 pu and operating at 5 percent above its rated voltage supplies a synchronous motor having a 0.20 pu subtransient reactance. The motor is connected to the generator by a transmission line and a transformer of total reactance 0.403 pu. A sudden three-phase short circuit occurs at the generator terminals. Determine the per-unit subtransient fault current.
−j8.742
−j9.079
−j7.322
−j6.545
-j10.050
A box contains 10 red balls, 15 orange balls, 20 blue balls and 30 green balls. Two balls are drawn in succession, with a replacement being made after each drawing. Find the probability that at least one ball is blue. Express your answer with four (4) decimal places.
(a)
