MHT-CET Exam Prep Resources | Soulshift Education

MHT-CET

Chemistry Mathematics Physics

Q. If a force of 15 N is applied to a mass of 3 kg, what is the acceleration of the mass? (2023)

A. 3 m/s²
B. 4 m/s²
C. 5 m/s²
D. 6 m/s²

Solution

Using F = ma, a = F/m = 15 N / 3 kg = 5 m/s².

Correct Answer: B — 4 m/s²

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Q. If a force of 15 N moves an object 3 m in the direction of the force, what is the work done? (2022)

A. 45 J
B. 30 J
C. 60 J
D. 15 J

Solution

Work done = Force × Distance = 15 N × 3 m = 45 J

Correct Answer: A — 45 J

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Q. If a force of 20 N moves an object 5 m in the direction of the force, what is the work done?

A. 100 J
B. 50 J
C. 20 J
D. 200 J

Solution

Work = Force * Distance = 20 N * 5 m = 100 J.

Correct Answer: A — 100 J

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Q. If a line has the equation 7x - 3y + 21 = 0, what is its slope?

A. 7/3
B. -7/3
C. 3/7
D. -3/7

Solution

Rearranging gives y = (7/3)x + 7. The slope is -7/3.

Correct Answer: B — -7/3

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Q. If a line has the equation 7x - 3y = 21, what is its slope?

A. 7/3
B. -7/3
C. 3/7
D. -3/7

Solution

Rearranging to slope-intercept form gives y = (7/3)x - 7. The slope is -7/3.

Correct Answer: B — -7/3

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Q. If a line has the equation y - 3 = 4(x - 1), what is its slope?

A. 4
B. 1/4
C. -4
D. -1/4

Solution

The equation is in point-slope form, where the slope m = 4.

Correct Answer: A — 4

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Q. If a line has the equation y = -3x + 7, what is the y-coordinate when x = 2?

A. 1
B. 4
C. 7
D. 10

Solution

Substituting x = 2 into the equation gives y = -3(2) + 7 = 1.

Correct Answer: B — 4

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Q. If a machine does 3000 J of work in 10 seconds, what is its power output?

A. 300 W
B. 150 W
C. 600 W
D. 1000 W

Solution

Power (P) = Work (W) / Time (t) = 3000 J / 10 s = 300 W.

Correct Answer: A — 300 W

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Q. If a machine has a power output of 200 W, how much work can it do in 5 seconds? (2000)

A. 500 J
B. 1000 J
C. 1500 J
D. 2000 J

Solution

Work done (W) = Power (P) × Time (t) = 200 W × 5 s = 1000 J.

Correct Answer: B — 1000 J

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Q. If a magnetic field is increasing at a rate of 0.1 T/s, what is the induced EMF in a coil of 50 turns and area 0.2 m²? (2021)

A. 1 V
B. 0.5 V
C. 0.2 V
D. 0.1 V

Solution

Induced EMF (ε) = -N * (dB/dt) * A = -50 * 0.1 T/s * 0.2 m² = -1 V.

Correct Answer: A — 1 V

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Q. If a person does 200 J of work in 5 seconds, what is their power output?

A. 40 W
B. 50 W
C. 60 W
D. 30 W

Solution

Power (P) = Work (W) / Time (t) = 200 J / 5 s = 40 W.

Correct Answer: B — 50 W

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Q. If a person does 300 J of work in 15 seconds, what is their average power output?

A. 20 W
B. 15 W
C. 25 W
D. 30 W

Solution

Power = Work / Time = 300 J / 15 s = 20 W

Correct Answer: A — 20 W

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Q. If a person does 300 J of work in 15 seconds, what is their power output?

A. 20 W
B. 15 W
C. 25 W
D. 30 W

Solution

Power = Work / Time = 300 J / 15 s = 20 W

Correct Answer: A — 20 W

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Q. If a person does 500 J of work in 5 seconds, what is their power output?

A. 100 W
B. 50 W
C. 200 W
D. 150 W

Solution

Power (P) = Work (W) / Time (t) = 500 J / 5 s = 100 W.

Correct Answer: A — 100 W

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Q. If a person lifts a 20 kg box to a height of 2 m, what is the work done against gravity? (g = 9.8 m/s²)

A. 392 J
B. 196 J
C. 588 J
D. 784 J

Solution

Work = m * g * h = 20 kg * 9.8 m/s² * 2 m = 392 J.

Correct Answer: B — 196 J

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Q. If a physical quantity has dimensions [M^0 L^1 T^-1], what is it? (2020)

A. Velocity
B. Acceleration
C. Force
D. Energy

Solution

The dimensions [M^0 L^1 T^-1] correspond to velocity, which is defined as distance traveled per unit time.

Correct Answer: A — Velocity

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Q. If a physical quantity has dimensions [M^2 L^3 T^-1], what could it represent? (2020)

A. Force
B. Pressure
C. Volume flow rate
D. Energy

Solution

The dimensions [M^2 L^3 T^-1] correspond to volume flow rate, which is volume per unit time.

Correct Answer: C — Volume flow rate

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Q. If a rectangle has a length of 10 and a width of 5, what is its area? (2017)

A. 50
B. 60
C. 55
D. 45

Solution

Area = length × width = 10 × 5 = 50.

Correct Answer: A — 50

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Q. If a rectangle has a length of 10 cm and a width of 5 cm, what is its area? (2017)

A. 50 cm²
B. 60 cm²
C. 40 cm²
D. 30 cm²

Solution

Area = length × width = 10 cm × 5 cm = 50 cm².

Correct Answer: A — 50 cm²

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Q. If a rectangle has a length of 12 cm and a width of 4 cm, what is its perimeter? (2019)

A. 32 cm
B. 28 cm
C. 24 cm
D. 30 cm

Solution

Perimeter = 2(length + width) = 2(12 + 4) = 32 cm.

Correct Answer: A — 32 cm

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Q. If a rectangle has a length of 8 cm and a width of 3 cm, what is its area? (2015)

A. 24 cm²
B. 30 cm²
C. 20 cm²
D. 18 cm²

Solution

Area = length × width = 8 × 3 = 24 cm².

Correct Answer: A — 24 cm²

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Q. If a rectangle has a length of 8 cm and a width of 3 cm, what is its perimeter? (2019)

A. 22 cm
B. 24 cm
C. 20 cm
D. 26 cm

Solution

Perimeter = 2(length + width) = 2(8 + 3) = 22 cm.

Correct Answer: A — 22 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 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 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, 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 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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MHT-CET

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