Major Competitive Exams

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Q. What is the total number of states in India as of 2021? (2021)

A. 28
B. 29
C. 30
D. 31

Solution

As of 2021, India has 28 states.

Correct Answer: A — 28

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Q. What is the total number of subsets of the empty set?

A. 0
B. 1
C. 2
D. 3

Solution

The empty set has exactly one subset, which is itself: ∅.

Correct Answer: B — 1

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Q. What is the total number of subsets of the set G = {1, 2, 3, 4, 5}?

A. 32
B. 64
C. 16
D. 8

Solution

The total number of subsets is 2^5 = 32.

Correct Answer: A — 32

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Q. What is the total number of terms in the expansion of (x + 2y)^6?

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

Solution

The total number of terms is n + 1 = 6 + 1 = 7.

Correct Answer: C — 8

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Q. What is the total percentage of sales from the top three products?

A. 60%
B. 70%
C. 80%
D. 90%

Solution

The top three products account for 30%, 25%, and 35% of sales, totaling 90%.

Correct Answer: D — 90%

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Q. What is the total percentage represented by the 'Others' category in the pie chart?

A. 15%
B. 20%
C. 30%
D. 35%

Solution

'Others' category represents 20% of the total in the pie chart.

Correct Answer: B — 20%

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Q. What is the total power consumed in a circuit with a 12V battery and a 4Ω resistor?

A. 12W
B. 24W
C. 36W
D. 48W

Solution

Power P = V^2/R = (12V)^2/4Ω = 36W.

Correct Answer: B — 24W

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Q. What is the total power consumed in a circuit with a current of 5A and a total resistance of 4Ω?

A. 10W
B. 20W
C. 30W
D. 40W

Solution

Power (P) = I^2 * R = 5^2 * 4 = 25 * 4 = 100W.

Correct Answer: D — 40W

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Q. What is the total power consumed in a circuit with a power factor of 0.6, if the apparent power is 100 VA? (2023)

A. 60 W
B. 100 W
C. 40 W
D. 80 W

Solution

The real power (P) can be calculated using P = Power Factor × Apparent Power. Therefore, P = 0.6 × 100 VA = 60 W.

Correct Answer: A — 60 W

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Q. What is the total power consumed in a circuit with two 10Ω resistors in series connected to a 20V source? (2020)

A. 20W
B. 40W
C. 10W
D. 30W

Solution

Total resistance R = 10Ω + 10Ω = 20Ω. Power P = V²/R = 20² / 20 = 20W.

Correct Answer: B — 40W

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Q. What is the total power consumed in a circuit with two 5Ω resistors in series connected to a 30V battery? (2023)

A. 90W
B. 60W
C. 30W
D. 45W

Solution

Total resistance R = 5Ω + 5Ω = 10Ω; Power P = V²/R = 30²/10 = 90W.

Correct Answer: B — 60W

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Q. What is the total power of two lenses of power +5 D and -3 D placed in contact?

A. 2 D
B. 8 D
C. 15 D
D. 1 D

Solution

Total power P = P1 + P2 = 5 D - 3 D = 2 D.

Correct Answer: A — 2 D

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Q. What is the total resistance in a circuit with a 10Ω resistor and a 20Ω resistor in series? (2022)

A. 30Ω
B. 20Ω
C. 10Ω
D. 15Ω

Solution

In series, R_eq = R1 + R2 = 10Ω + 20Ω = 30Ω.

Correct Answer: A — 30Ω

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Q. What is the total resistance in a circuit with a 10Ω resistor in series with a 20Ω resistor? (2022)

A. 10Ω
B. 20Ω
C. 30Ω
D. 15Ω

Solution

In series, R_eq = R1 + R2 = 10Ω + 20Ω = 30Ω.

Correct Answer: C — 30Ω

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Q. What is the total resistance in a circuit with a 10Ω resistor in series with a 5Ω resistor?

A. 5Ω
B. 10Ω
C. 15Ω
D. 50Ω

Solution

In series, total resistance (R_total) = R1 + R2 = 10Ω + 5Ω = 15Ω.

Correct Answer: C — 15Ω

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Q. What is the total resistance in a circuit with a 12 ohm and a 4 ohm resistor connected in parallel?

A. 3 ohms
B. 4 ohms
C. 9 ohms
D. 16 ohms

Solution

1/R_eq = 1/12 + 1/4 => R_eq = 3 ohms.

Correct Answer: A — 3 ohms

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Q. What is the total resistance in a circuit with a 12Ω resistor and a 4Ω resistor connected in series?

A. 16Ω
B. 48Ω
C. 3Ω
D. 8Ω

Solution

In series, total resistance R_total = R1 + R2 = 12Ω + 4Ω = 16Ω.

Correct Answer: A — 16Ω

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Q. What is the total resistance in a circuit with a 4 ohm and a 6 ohm resistor in series?

A. 2 ohms
B. 4 ohms
C. 6 ohms
D. 10 ohms

Solution

Total resistance in series = R1 + R2 = 4 ohm + 6 ohm = 10 ohm.

Correct Answer: D — 10 ohms

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Q. What is the total resistance in a circuit with a 4Ω and a 6Ω resistor in series? (2022)

A. 10Ω
B. 24Ω
C. 2.4Ω
D. 1.5Ω

Solution

In series, R_total = R1 + R2 = 4Ω + 6Ω = 10Ω.

Correct Answer: A — 10Ω

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Q. What is the total resistance in a series circuit with resistors of 2Ω, 3Ω, and 5Ω?

A. 10Ω
B. 8Ω
C. 5Ω
D. 3Ω

Solution

In a series circuit, total resistance (R_total) is the sum of individual resistances: R_total = R1 + R2 + R3 = 2Ω + 3Ω + 5Ω = 10Ω.

Correct Answer: A — 10Ω

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Q. What is the total resistance in a series circuit with resistors of 4 ohms, 6 ohms, and 10 ohms? (2023)

A. 20 ohms
B. 10 ohms
C. 6 ohms
D. 4 ohms

Solution

In a series circuit, total resistance (R_total) is the sum of individual resistances: R_total = 4 + 6 + 10 = 20 ohms.

Correct Answer: A — 20 ohms

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Q. What is the total resistance of a circuit with a 3Ω and a 5Ω resistor in series?

A. 8Ω
B. 15Ω
C. 2Ω
D. 1.5Ω

Solution

Total resistance R = R1 + R2 = 3Ω + 5Ω = 8Ω.

Correct Answer: A — 8Ω

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Q. What is the total resistance of two 10 ohm resistors connected in parallel?

A. 5 ohms
B. 10 ohms
C. 20 ohms
D. 15 ohms

Solution

1/R_eq = 1/R1 + 1/R2 = 1/10 + 1/10 = 2/10. Thus, R_eq = 10/2 = 5 ohms.

Correct Answer: A — 5 ohms

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Q. What is the total resistance of two 10 ohm resistors connected in series?

A. 5 ohms
B. 10 ohms
C. 20 ohms
D. 15 ohms

Solution

In series, R_eq = R1 + R2 = 10 + 10 = 20 ohms.

Correct Answer: C — 20 ohms

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Q. What is the total resistance of two 12 ohm resistors connected in parallel?

A. 6 ohms
B. 12 ohms
C. 24 ohms
D. 18 ohms

Solution

1/R_eq = 1/R1 + 1/R2 = 1/12 + 1/12 = 2/12. Thus, R_eq = 12/2 = 6 ohms.

Correct Answer: A — 6 ohms

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Q. What is the total resistance of two 4Ω resistors connected in series? (2020)

A. 4Ω
B. 8Ω
C. 2Ω
D. 16Ω

Solution

In series, R_eq = R1 + R2 = 4Ω + 4Ω = 8Ω.

Correct Answer: B — 8Ω

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Q. What is the total resistance of two 8Ω resistors connected in series?

A. 8Ω
B. 16Ω
C. 4Ω
D. 12Ω

Solution

In series, R_eq = R1 + R2 = 8 + 8 = 16Ω.

Correct Answer: B — 16Ω

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Q. What is the total resistance of two resistors of 4Ω and 6Ω connected in parallel? (2021)

A. 2.4Ω
B. 10Ω
C. 24Ω
D. 1.5Ω

Solution

For parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/6. Finding a common denominator gives R_eq = 2.4Ω.

Correct Answer: A — 2.4Ω

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Q. What is the total resistance of two resistors of 5 ohms and 10 ohms connected in parallel?

A. 3.33 ohms
B. 5 ohms
C. 15 ohms
D. 50 ohms

Solution

1/R_eq = 1/5 + 1/10 => R_eq = 3.33 ohms.

Correct Answer: A — 3.33 ohms

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Q. What is the total resistance of two resistors of 8Ω and 12Ω connected in series?

A. 20Ω
B. 24Ω
C. 16Ω
D. 18Ω

Solution

In series, R_eq = R1 + R2 = 8 + 12 = 20Ω.

Correct Answer: A — 20Ω

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Major Competitive Exams

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