Q. What is the average power consumed in an AC circuit with a power factor of 0.8 and a current of 5 A at 230 V? (2022)
-
A.
920 W
-
B.
920 VA
-
C.
1150 W
-
D.
1150 VA
Solution
Average power (P) is given by P = V × I × PF. Here, P = 230 V × 5 A × 0.8 = 920 W.
Correct Answer:
A
— 920 W
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Q. What is the average power consumed in an AC circuit with a power factor of 1? (2019)
-
A.
Zero
-
B.
RMS voltage
-
C.
RMS current
-
D.
Maximum power
Solution
When the power factor is 1, the average power consumed is maximum and is given by P = V_rms × I_rms.
Correct Answer:
D
— Maximum power
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Q. What is the average sales amount per quarter for Product A?
-
A.
$1000
-
B.
$1500
-
C.
$2000
-
D.
$2500
Solution
The average sales amount per quarter for Product A is $2000.
Correct Answer:
C
— $2000
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Q. What is the average sales of Product A over the four quarters as per the table?
-
A.
300
-
B.
400
-
C.
500
-
D.
600
Solution
The average sales of Product A over the four quarters is 500 units.
Correct Answer:
C
— 500
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Q. What is the average sales per product if there are 4 products?
-
A.
400
-
B.
450
-
C.
500
-
D.
550
Solution
The average sales per product is 2000 total sales divided by 4 products, which is 500.
Correct Answer:
C
— 500
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Q. What is the average sales per product in Q2?
-
A.
$1500
-
B.
$2000
-
C.
$2500
-
D.
$3000
Solution
Total sales in Q2 is $10000 and there are 5 products, so average sales per product is $2000.
Correct Answer:
B
— $2000
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Q. What is the average sales per quarter for Product A?
-
A.
$500
-
B.
$1000
-
C.
$1500
-
D.
$2000
Solution
Product A's total sales are $4000 across 4 quarters, averaging $1000 per quarter.
Correct Answer:
B
— $1000
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Q. What is the average score of students in Subject B?
Solution
The scores for Subject B are 70, 75, 80, and 85. The average is (70 + 75 + 80 + 85) / 4 = 77.5, rounded to 75.
Correct Answer:
C
— 75
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Q. What is the average temperature of a location if the maximum temperature recorded is 30°C and the minimum is 20°C? (2021)
-
A.
25°C
-
B.
20°C
-
C.
30°C
-
D.
15°C
Solution
Average temperature = (Maximum + Minimum) / 2 = (30 + 20) / 2 = 25°C.
Correct Answer:
A
— 25°C
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Q. What is the average temperature of the Earth in degrees Celsius?
-
A.
15°C
-
B.
20°C
-
C.
25°C
-
D.
30°C
Solution
The average temperature of the Earth is approximately 15°C.
Correct Answer:
A
— 15°C
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Q. What is the average volume of blood in an adult human body? (2020)
-
A.
3-4 liters
-
B.
4-5 liters
-
C.
5-6 liters
-
D.
6-7 liters
Solution
The average volume of blood in an adult human body is approximately 5 to 6 liters.
Correct Answer:
C
— 5-6 liters
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Q. What is the axis of symmetry for the parabola defined by the equation y^2 = -12x?
-
A.
x = 0
-
B.
y = 0
-
C.
y = -6
-
D.
x = -6
Solution
The axis of symmetry for a parabola in the form y^2 = 4px is the x-axis, which is x = 0.
Correct Answer:
A
— x = 0
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Q. What is the axis of symmetry for the parabola given by the equation y = -2x^2 + 4x + 1?
-
A.
x = 1
-
B.
y = 1
-
C.
x = 2
-
D.
y = 2
Solution
The axis of symmetry for a parabola in the form y = ax^2 + bx + c is given by x = -b/(2a). Here, a = -2, b = 4, so x = -4/(2*-2) = 1.
Correct Answer:
A
— x = 1
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Q. What is the axis of symmetry for the parabola given by the equation y = -3(x - 2)^2 + 5?
-
A.
x = 2
-
B.
y = 5
-
C.
y = -3
-
D.
x = -2
Solution
The axis of symmetry for a parabola in vertex form y = a(x - h)^2 + k is x = h. Here, h = 2.
Correct Answer:
A
— x = 2
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Q. What is the axis of symmetry for the parabola given by the equation y = 3x^2 + 6x + 2?
-
A.
x = -1
-
B.
y = -1
-
C.
x = 1
-
D.
y = 1
Solution
The axis of symmetry for a parabola in the form y = ax^2 + bx + c is given by x = -b/(2a). Here, a = 3 and b = 6, so x = -6/(2*3) = -1.
Correct Answer:
A
— x = -1
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Q. What is the axis of symmetry for the parabola given by the equation y^2 = 6x?
-
A.
x-axis
-
B.
y-axis
-
C.
y = x
-
D.
x = 0
Solution
The axis of symmetry for the parabola y^2 = 4px is the x-axis.
Correct Answer:
B
— y-axis
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Q. What is the balanced equation for the combustion of propane (C3H8)? (2021)
-
A.
C3H8 + 5O2 → 3CO2 + 4H2O
-
B.
C3H8 + 4O2 → 3CO2 + 2H2O
-
C.
C3H8 + 3O2 → 3CO + 4H2O
-
D.
C3H8 + 2O2 → 3CO2 + 2H2O
Solution
The balanced equation for the combustion of propane is C3H8 + 5O2 → 3CO2 + 4H2O.
Correct Answer:
A
— C3H8 + 5O2 → 3CO2 + 4H2O
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Q. What is the balanced equation for the redox reaction between Cr2O7^2- and Fe^2+ in acidic medium? (2020)
-
A.
Cr2O7^2- + 6Fe^2+ → 2Cr^3+ + 3Fe^3+
-
B.
Cr2O7^2- + 3Fe^2+ → 2Cr^3+ + 3Fe^3+
-
C.
Cr2O7^2- + 4Fe^2+ → 2Cr^3+ + 4Fe^3+
-
D.
Cr2O7^2- + 2Fe^2+ → 2Cr^3+ + Fe^3+
Solution
The balanced equation in acidic medium is Cr2O7^2- + 6Fe^2+ → 2Cr^3+ + 3Fe^3+.
Correct Answer:
A
— Cr2O7^2- + 6Fe^2+ → 2Cr^3+ + 3Fe^3+
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Q. What is the band gap energy of a typical semiconductor?
-
A.
0 eV
-
B.
1-3 eV
-
C.
5 eV
-
D.
10 eV
Solution
Typical semiconductors have a band gap energy in the range of 1-3 eV.
Correct Answer:
B
— 1-3 eV
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Q. What is the band gap energy of a typical silicon semiconductor?
-
A.
0.1 eV
-
B.
1.1 eV
-
C.
2.0 eV
-
D.
3.5 eV
Solution
Silicon has a band gap energy of approximately 1.1 eV, which is suitable for many electronic applications.
Correct Answer:
B
— 1.1 eV
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Q. What is the band gap energy of silicon at room temperature?
-
A.
0.1 eV
-
B.
1.1 eV
-
C.
2.0 eV
-
D.
3.5 eV
Solution
The band gap energy of silicon at room temperature is approximately 1.1 eV.
Correct Answer:
B
— 1.1 eV
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Q. What is the bandwidth of a signal that has a frequency range from 300 Hz to 3 kHz?
-
A.
2.7 kHz
-
B.
3.3 kHz
-
C.
2.4 kHz
-
D.
3.0 kHz
Solution
Bandwidth = f_max - f_min = 3000 Hz - 300 Hz = 2700 Hz or 2.7 kHz.
Correct Answer:
A
— 2.7 kHz
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Q. What is the bandwidth of a signal that occupies a frequency range from 1 kHz to 3 kHz?
-
A.
1 kHz
-
B.
2 kHz
-
C.
3 kHz
-
D.
4 kHz
Solution
Bandwidth = f_max - f_min = 3 kHz - 1 kHz = 2 kHz.
Correct Answer:
B
— 2 kHz
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Q. What is the bandwidth of a signal that occupies a frequency range from 300 Hz to 3 kHz?
-
A.
2.7 kHz
-
B.
3.3 kHz
-
C.
2.4 kHz
-
D.
3.0 kHz
Solution
Bandwidth = f_max - f_min = 3000 Hz - 300 Hz = 2700 Hz = 2.7 kHz.
Correct Answer:
A
— 2.7 kHz
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Q. What is the base of the decimal system?
Solution
The decimal system is a base-10 numeral system.
Correct Answer:
C
— 10
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Q. What is the base of the logarithm if log_10(100) = 2?
Solution
The base of the logarithm is 10, as log_10(100) = 2 means 10^2 = 100.
Correct Answer:
B
— 10
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Q. What is the base of the logarithm if log_2(8) = 3?
Solution
Since 8 is 2 raised to the power of 3 (2^3 = 8), the base of the logarithm is 2.
Correct Answer:
A
— 2
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Q. What is the base of the logarithm if log_3(81) = 4?
Solution
Since 81 is 3^4, the base of the logarithm is 3.
Correct Answer:
A
— 3
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Q. What is the base of the logarithm if log_b(1) = 0?
-
A.
Any positive number
-
B.
1
-
C.
0
-
D.
Undefined
Solution
For any base b > 0, log_b(1) = 0, since b^0 = 1.
Correct Answer:
A
— Any positive number
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Q. What is the base of the octal numeral system?
Solution
The octal numeral system is a base-8 system, using digits from 0 to 7.
Correct Answer:
B
— 8
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