Q. What is the power factor of a circuit with a resistance of 8Ω and a reactance of 6Ω? (2023)
A.
0.5
B.
0.6
C.
0.8
D.
1.0
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Solution
Power factor = R/Z, where Z = √(R² + X²) = √(8² + 6²) = 10. Thus, PF = 8/10 = 0.8.
Correct Answer: C — 0.8
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Q. What is the power factor of an AC circuit with a phase angle of 60 degrees?
A.
0.5
B.
0.866
C.
1
D.
0.707
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Solution
The power factor (PF) is given by cos(θ). For a phase angle of 60 degrees, PF = cos(60°) = 0.5.
Correct Answer: B — 0.866
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Q. What is the power factor of an AC circuit with a phase angle of 60°? (2022)
A.
0.5
B.
0.866
C.
1
D.
0.707
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Solution
The power factor is cos(60°) = 0.5.
Correct Answer: B — 0.866
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Q. What is the power of a lens with a focal length of 50 cm?
A.
+2 D
B.
+1 D
C.
-2 D
D.
-1 D
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Solution
Power (P) is given by P = 1/f (in meters). Thus, f = 50 cm = 0.5 m, so P = 1/0.5 = +2 D.
Correct Answer: A — +2 D
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Q. What is the power output of a motor that does 1200 J of work in 30 seconds?
A.
20 W
B.
40 W
C.
60 W
D.
80 W
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Solution
Power = Work / Time = 1200 J / 30 s = 40 W.
Correct Answer: C — 60 W
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Q. What is the power output of a motor that does 3000 J of work in 15 seconds?
A.
200 W
B.
300 W
C.
400 W
D.
500 W
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Solution
Power = Work / Time = 3000 J / 15 s = 200 W.
Correct Answer: B — 300 W
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Q. What is the power set of A = {a, b}?
A.
{∅, {a}, {b}, {a, b}}
B.
{a, b}
C.
{∅, {a, b}}
D.
{a, b, {a, b}}
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Solution
The power set of a set is the set of all its subsets. For A = {a, b}, the power set is {∅, {a}, {b}, {a, b}}.
Correct Answer: A — {∅, {a}, {b}, {a, b}}
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Q. What is the power set of the empty set ∅?
A.
{∅}
B.
{∅, {∅}}
C.
∅
D.
{∅, ∅}
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Solution
The power set of the empty set contains only the empty set itself: {∅}.
Correct Answer: A — {∅}
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Q. What is the power set of the set F = {a}?
A.
{∅, {a}}
B.
{∅, a}
C.
{a}
D.
{∅}
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Solution
The power set of F = {a} is {∅, {a}}.
Correct Answer: A — {∅, {a}}
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Q. What is the power set of the set G = {1}?
A.
{∅, {1}}
B.
{1}
C.
{∅}
D.
{1, ∅}
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Solution
The power set of G = {1} is {∅, {1}}.
Correct Answer: A — {∅, {1}}
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Q. What is the power set of the set {1, 2}?
A.
{∅, {1}, {2}, {1, 2}}
B.
{∅, {1, 2}}
C.
{1, 2}
D.
{1, 2, ∅}
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Solution
The power set of a set with n elements has 2^n elements. For {1, 2}, the power set is {∅, {1}, {2}, {1, 2}}.
Correct Answer: A — {∅, {1}, {2}, {1, 2}}
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Q. What is the prefix for 10^-6 in the SI system?
A.
Milli
B.
Micro
C.
Nano
D.
Pico
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Solution
The prefix for 10^-6 is 'Micro'.
Correct Answer: B — Micro
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Q. What is the prefix for 10^6? (2022)
A.
Kilo
B.
Mega
C.
Giga
D.
Tera
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Solution
The prefix for 10^6 is Mega (M).
Correct Answer: B — Mega
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Q. What is the pressure exerted by a force of 100 N over an area of 5 m²? (2023)
A.
20 Pa
B.
25 Pa
C.
15 Pa
D.
30 Pa
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Solution
Pressure (P) = Force/Area = 100 N / 5 m² = 20 Pa.
Correct Answer: B — 25 Pa
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Q. What is the pressure exerted by a force of 200 N acting on an area of 4 m²? (2015)
A.
50 Pa
B.
100 Pa
C.
200 Pa
D.
400 Pa
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Solution
Pressure = Force/Area = 200 N / 4 m² = 50 Pa.
Correct Answer: B — 100 Pa
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Q. What is the primary active ingredient in aspirin? (2019)
A.
Acetylsalicylic acid
B.
Salicylic acid
C.
Acetic acid
D.
Benzoic acid
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Solution
Aspirin is chemically known as acetylsalicylic acid, which is used for pain relief and anti-inflammatory purposes.
Correct Answer: A — Acetylsalicylic acid
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Q. What is the primary active ingredient in most antacids?
A.
Calcium carbonate
B.
Magnesium hydroxide
C.
Aluminum hydroxide
D.
All of the above
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Solution
Most antacids contain active ingredients like calcium carbonate, magnesium hydroxide, or aluminum hydroxide to neutralize stomach acid.
Correct Answer: D — All of the above
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Q. What is the primary advantage of a Swiss-system tournament over a round-robin tournament?
A.
More matches are played.
B.
All players play the same number of matches.
C.
It allows for quicker elimination.
D.
It pairs players with similar scores.
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Solution
The Swiss-system tournament pairs players with similar scores, allowing for a more competitive environment without requiring all players to play every other player.
Correct Answer: D — It pairs players with similar scores.
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Q. What is the primary advantage of asexual reproduction? (2022)
A.
Genetic diversity
B.
Rapid population increase
C.
Requires less energy
D.
All of the above
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Solution
Asexual reproduction allows for rapid population increase as it does not require a mate.
Correct Answer: B — Rapid population increase
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Q. What is the primary advantage of forming a partnership over a sole proprietorship?
A.
Limited liability for all partners
B.
Increased capital and resources
C.
Simplicity in decision-making
D.
Complete control over business decisions
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Solution
Partnerships allow for increased capital and resources through contributions from multiple partners.
Correct Answer: B — Increased capital and resources
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Q. What is the primary advantage of having a diverse team? (2023)
A.
Easier decision-making
B.
Increased creativity and innovation
C.
Faster completion of tasks
D.
Uniformity in thought
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Solution
A diverse team brings together varied perspectives, which can lead to increased creativity and innovation in problem-solving.
Correct Answer: B — Increased creativity and innovation
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Q. What is the primary advantage of sexual reproduction? (2021)
A.
Faster reproduction
B.
Genetic diversity
C.
No need for a mate
D.
Lower energy requirement
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Solution
Sexual reproduction leads to genetic diversity, which can enhance survival in changing environments.
Correct Answer: B — Genetic diversity
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Q. What is the primary advantage of using digital signals over analog signals in communication systems?
A.
Higher bandwidth
B.
Less susceptibility to noise
C.
Easier to modulate
D.
Lower power consumption
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Solution
Digital signals are less susceptible to noise, making them more reliable for communication compared to analog signals.
Correct Answer: B — Less susceptibility to noise
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Q. What is the primary advantage of using hybrid sets in data analysis?
A.
They simplify complex data structures.
B.
They eliminate redundancy in data.
C.
They allow for the combination of diverse data types.
D.
They are easier to visualize.
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Solution
Hybrid sets enable the combination of diverse data types, making them useful for comprehensive data analysis.
Correct Answer: C — They allow for the combination of diverse data types.
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Q. What is the primary advantage of using hybrid sets in data organization?
A.
They simplify complex data relationships.
B.
They eliminate the need for data analysis.
C.
They can only store numerical data.
D.
They are always smaller than traditional sets.
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Solution
Hybrid sets help in simplifying complex relationships by allowing for the combination of different types of data.
Correct Answer: A — They simplify complex data relationships.
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Q. What is the primary advantage of using the octal system in computing?
A.
It simplifies binary representation.
B.
It is easier for humans to read than binary.
C.
It is the only system used in programming.
D.
It is more efficient than hexadecimal.
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Solution
The octal system simplifies binary representation by grouping bits into sets of three.
Correct Answer: A — It simplifies binary representation.
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Q. What is the primary aim of the National Rural Livelihood Mission (NRLM)? (2011)
A.
To provide free education
B.
To promote self-employment and organization of rural poor
C.
To enhance agricultural productivity
D.
To provide health insurance
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Solution
The primary aim of the NRLM is to promote self-employment and organize the rural poor into self-help groups.
Correct Answer: B — To promote self-employment and organization of rural poor
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Q. What is the primary application of nuclear fusion in stars?
A.
Energy production
B.
Nuclear weapons
C.
Radioactive dating
D.
Medical imaging
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Solution
Nuclear fusion in stars primarily serves as a source of energy production, converting hydrogen into helium and releasing vast amounts of energy.
Correct Answer: A — Energy production
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Q. What is the primary application of nuclear fusion? (2023)
A.
Nuclear power plants
B.
Hydrogen bombs
C.
Medical imaging
D.
Smoke detectors
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Solution
Nuclear fusion is primarily applied in hydrogen bombs, where fusion reactions release immense energy.
Correct Answer: B — Hydrogen bombs
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Q. What is the primary application of recombinant DNA technology in agriculture? (2020)
A.
Increased crop yield
B.
Pest resistance
C.
Improved nutritional value
D.
All of the above
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Solution
Recombinant DNA technology is used to enhance crop yield, provide pest resistance, and improve nutritional value, making option 'All of the above' the correct answer.
Correct Answer: D — All of the above
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