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Q. If a resistor has a current of 2A flowing through it and a voltage of 10V across it, what is the resistance? (2023)

A. 2Ω
B. 5Ω
C. 10Ω
D. 20Ω

Solution

Using Ohm's Law, R = V / I = 10V / 2A = 5Ω.

Correct Answer: B — 5Ω

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Q. If a resistor has a resistance of 10Ω and a current of 2A flows through it, what is the voltage across the resistor? (2023)

A. 5V
B. 10V
C. 20V
D. 30V

Solution

Using Ohm's Law, V = I * R = 2A * 10Ω = 20V.

Correct Answer: C — 20V

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Q. If a resistor has a resistance of 10Ω and a current of 5A flows through it, what is the voltage across the resistor? (2023)

A. 10V
B. 20V
C. 30V
D. 50V

Solution

Using Ohm's Law, V = I * R = 5A * 10Ω = 50V.

Correct Answer: B — 20V

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Q. If a resistor has a resistance of 8Ω and the current flowing through it is 4A, what is the power dissipated by the resistor? (2022)

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

Solution

Power (P) can be calculated using P = I^2 * R = (4A)^2 * 8Ω = 16 * 8 = 128W.

Correct Answer: B — 32W

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Q. If a resistor has a resistance of 8Ω and the current flowing through it is 4A, what is the voltage across the resistor? (2022)

A. 32V
B. 16V
C. 8V
D. 4V

Solution

Using Ohm's Law, V = I * R = 4A * 8Ω = 32V.

Correct Answer: B — 16V

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Q. If a ruler has a least count of 0.1 cm, what is the maximum error in measurement? (2023)

A. 0.05 cm
B. 0.1 cm
C. 0.2 cm
D. 0.01 cm

Solution

The maximum error is typically taken as the least count of the measuring instrument, which is 0.1 cm.

Correct Answer: B — 0.1 cm

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Q. If a ruler has a least count of 0.1 cm, what is the smallest measurement it can accurately provide? (2023)

A. 0.1 cm
B. 0.05 cm
C. 0.01 cm
D. 1 cm

Solution

The least count of a measuring instrument is the smallest value that can be measured accurately, which in this case is 0.1 cm.

Correct Answer: A — 0.1 cm

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Q. If a student guesses on a multiple-choice test with 4 options per question, what is the probability of guessing correctly?

A. 1/4
B. 1/2
C. 1/3
D. 1/5

Solution

Probability of guessing correctly = 1/4.

Correct Answer: A — 1/4

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Q. If a student guesses on a multiple-choice test with 4 options per question, what is the probability of guessing one question correctly? (2023)

A. 1/4
B. 1/2
C. 1/3
D. 1/5

Solution

There is 1 correct answer out of 4 options, so the probability is 1/4.

Correct Answer: A — 1/4

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Q. If a student guesses on a multiple-choice test with 4 options, what is the probability of guessing correctly? (2022)

A. 1/4
B. 1/2
C. 1/3
D. 1/5

Solution

Probability of guessing correctly = 1/4.

Correct Answer: A — 1/4

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Q. If a student is selected at random from a group of 10 boys and 15 girls, what is the probability that the student is a girl? (2023)

A. 1/2
B. 3/5
C. 2/5
D. 1/3

Solution

Total students = 10 + 15 = 25. Probability of girl = 15/25 = 3/5.

Correct Answer: B — 3/5

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Q. If a student is selected at random from a group of 20 students, 12 of whom are girls, what is the probability that the student is a girl?

A. 3/5
B. 2/5
C. 1/2
D. 1/3

Solution

Probability of selecting a girl = 12/20 = 3/5.

Correct Answer: A — 3/5

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Q. If a student is selected at random from a group of 20 students, what is the probability that the student is not a girl if there are 12 girls? (2020)

A. 2/5
B. 1/5
C. 3/5
D. 1/2

Solution

Number of boys = 20 - 12 = 8. Probability = 8/20 = 2/5.

Correct Answer: A — 2/5

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Q. If a student is selected at random from a group of 40 students, 25 of whom are boys, what is the probability that the student is a girl? (2020)

A. 1/2
B. 3/8
C. 3/5
D. 5/8

Solution

There are 40 - 25 = 15 girls. The probability of selecting a girl is 15/40 = 3/8.

Correct Answer: D — 5/8

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Q. If a thin film of oil on water produces a green color due to interference, what can be inferred about the thickness of the film? (2023)

A. It is very thick
B. It is very thin
C. It is of variable thickness
D. It is equal to the wavelength of green light

Solution

Thin films produce colors due to interference; a green color indicates a thin film where the thickness is comparable to the wavelength of visible light.

Correct Answer: B — It is very thin

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Q. If a torque of 10 Nm is applied to a body with a moment of inertia of 2 kg·m², what is the angular acceleration? (2022)

A. 5 rad/s²
B. 10 rad/s²
C. 2 rad/s²
D. 20 rad/s²

Solution

Using the formula τ = Iα, we have α = τ/I = 10 Nm / 2 kg·m² = 5 rad/s².

Correct Answer: A — 5 rad/s²

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Q. If a trait is controlled by multiple alleles, what is this phenomenon called? (2022)

A. Polygenic inheritance
B. Multiple alleles
C. Incomplete dominance
D. Codominance

Solution

When a trait is controlled by multiple alleles, it is referred to as multiple alleles.

Correct Answer: B — Multiple alleles

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Q. If a vehicle accelerates from 0 to 60 m/s in 12 seconds, what is its acceleration?

A. 2 m/s²
B. 4 m/s²
C. 5 m/s²
D. 6 m/s²

Solution

Using the formula: a = (v - u) / t = (60 - 0) / 12 = 5 m/s².

Correct Answer: B — 4 m/s²

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Q. If a wave has a frequency of 50 Hz and a wavelength of 2 m, what is its speed? (2018)

A. 100 m/s
B. 50 m/s
C. 25 m/s
D. 200 m/s

Solution

Wave speed = frequency × wavelength = 50 Hz × 2 m = 100 m/s.

Correct Answer: A — 100 m/s

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Q. If a wave has a frequency of 50 Hz and a wavelength of 3 m, what is its speed? (2019)

A. 150 m/s
B. 100 m/s
C. 50 m/s
D. 200 m/s

Solution

Wave speed (v) can be calculated using the formula v = fλ. Here, v = 50 Hz * 3 m = 150 m/s.

Correct Answer: B — 100 m/s

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Q. If a wave has a frequency of 50 Hz and a wavelength of 4 m, what is its speed? (2019)

A. 100 m/s
B. 200 m/s
C. 50 m/s
D. 25 m/s

Solution

The speed of a wave can be calculated using the formula v = f × λ. Here, v = 50 Hz × 4 m = 200 m/s.

Correct Answer: A — 100 m/s

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Q. If a wave has a frequency of 50 Hz, what is its period? (2022)

A. 0.02 s
B. 0.5 s
C. 2 s
D. 20 s

Solution

Period (T) = 1/Frequency = 1/50 Hz = 0.02 s.

Correct Answer: A — 0.02 s

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Q. If a wave has a speed of 300 m/s and a frequency of 150 Hz, what is its wavelength? (2023)

A. 1 m
B. 2 m
C. 3 m
D. 4 m

Solution

Using the wave equation v = fλ, we can rearrange it to find λ = v/f. Thus, λ = 300 m/s / 150 Hz = 2 m.

Correct Answer: B — 2 m

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Q. If C = [[0, 1], [1, 0]], what is det(C)? (2022)

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

Solution

Determinant of C = (0*0) - (1*1) = 0 - 1 = -1.

Correct Answer: C — -1

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Q. If cos(θ) = 0, what is the value of θ? (2017)

A. 0°
B. 90°
C. 180°
D. 270°

Solution

cos(90°) = 0, so θ = 90°

Correct Answer: B — 90°

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Q. If cos(θ) = 0.5, what is the value of θ in degrees? (2017)

A. 30°
B. 45°
C. 60°
D. 90°

Solution

cos(60°) = 0.5, so θ = 60°

Correct Answer: C — 60°

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Q. If cos(θ) = 0.5, what is the value of θ? (2020)

A. 0°
B. 30°
C. 60°
D. 90°

Solution

cos(60°) = 0.5, so θ = 60°.

Correct Answer: C — 60°

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Q. If cos(θ) = 0.6, what is sin(θ) using Pythagorean identity? (2017)

A. 0.4
B. 0.5
C. 0.6
D. 0.8

Solution

sin²(θ) + cos²(θ) = 1; sin²(θ) = 1 - 0.6² = 0.64; sin(θ) = √0.64 = 0.8.

Correct Answer: A — 0.4

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Q. If cos(θ) = 0.707, what is θ? (2020)

A. 30°
B. 45°
C. 60°
D. 90°

Solution

cos(45°) = √2/2 ≈ 0.707, so θ = 45°.

Correct Answer: B — 45°

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Q. If cos(θ) = 1/2, what is θ in degrees?

A. 30°
B. 45°
C. 60°
D. 90°

Solution

cos(60°) = 1/2, so θ = 60°

Correct Answer: C — 60°

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