Engineering Entrance Exam Preparation Resources

Engineering Entrance

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Q. If a car accelerates from rest to a speed of 20 m/s, and its mass is 1000 kg, what is the kinetic energy of the car at that speed? (2020)

A. 200 J
B. 1000 J
C. 2000 J
D. 4000 J

Solution

Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 1000 kg × (20 m/s)² = 200000 J = 2000 J

Correct Answer: C — 2000 J

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Q. If a car accelerates from rest to a speed of 20 m/s, what is the kinetic energy of the car if its mass is 1000 kg?

A. 200,000 J
B. 100,000 J
C. 50,000 J
D. 400,000 J

Solution

Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 1000 kg × (20 m/s)² = 200,000 J

Correct Answer: B — 100,000 J

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Q. If a car travels at a speed of 60 km/h, how far will it travel in 2 hours? (2022)

A. 120 km
B. 100 km
C. 150 km
D. 90 km

Solution

Distance = Speed × Time = 60 km/h × 2 h = 120 km.

Correct Answer: A — 120 km

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Q. If a car with a mass of 1200 kg is moving at a speed of 15 m/s, what is its kinetic energy? (2021)

A. 13500 J
B. 9000 J
C. 18000 J
D. 27000 J

Solution

Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 1200 kg × (15 m/s)² = 13500 J

Correct Answer: A — 13500 J

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Q. If a charge of +2μC is placed in an electric field of 1000 N/C, what is the force experienced by the charge? (2023)

A. 2 N
B. 0.002 N
C. 2000 N
D. 0.2 N

Solution

The force (F) on a charge in an electric field is given by F = qE. Here, F = 2μC * 1000 N/C = 2 N.

Correct Answer: A — 2 N

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Q. If a charge of +2μC is placed in an electric field of 500 N/C, what is the force experienced by the charge? (2022)

A. 1000 N
B. 250 N
C. 500 N
D. 2000 N

Solution

The force (F) on a charge in an electric field is given by F = qE. Here, F = 2μC * 500 N/C = 1000 N.

Correct Answer: A — 1000 N

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Q. If a charge of +2μC is placed in an electric field of strength 1000 N/C, what is the force acting on the charge? (2023)

A. 2 N
B. 0.002 N
C. 2000 N
D. 0.2 N

Solution

The force (F) on a charge in an electric field is given by F = qE. Here, F = (2 * 10^-6 C)(1000 N/C) = 2 N.

Correct Answer: A — 2 N

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Q. If a charge of +2μC is placed in an electric field of strength 500 N/C, what is the force experienced by the charge? (2022)

A. 1000 N
B. 250 N
C. 500 N
D. 2000 N

Solution

The force (F) on a charge in an electric field is given by F = qE. Here, F = 2μC * 500 N/C = 1000 N.

Correct Answer: A — 1000 N

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Q. If a charge of 5 μC is placed in an electric field of 2000 N/C, what is the force experienced by the charge? (2023)

A. 10 N
B. 1 N
C. 0.1 N
D. 100 N

Solution

The force (F) on a charge in an electric field is given by F = qE. Here, F = 5 × 10^-6 C * 2000 N/C = 10 N.

Correct Answer: A — 10 N

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Q. If a circle has a circumference of 31.4 cm, what is its radius? (2022)

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

Solution

Circumference = 2πr; 31.4 = 2 * π * r; r = 31.4 / (2 * π) = 5 cm.

Correct Answer: A — 5 cm

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Q. If a circle has a circumference of 62.8 cm, what is its radius? (2018)

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

Solution

Circumference = 2πr; 62.8 = 2 * π * r; r = 62.8 / (2 * π) = 10 cm.

Correct Answer: A — 10 cm

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Q. If a circle has a radius of 10 m, what is the diameter? (2021)

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

Solution

Diameter = 2 * radius = 2 * 10 m = 20 m.

Correct Answer: C — 20 m

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Q. If a circle has a radius of 3 cm, what is its circumference? (Use π = 3.14) (2023)

A. 6.28 cm
B. 9.42 cm
C. 12.56 cm
D. 15.70 cm

Solution

Circumference = 2πr = 2 * 3.14 * 3 = 18.84 cm.

Correct Answer: C — 12.56 cm

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Q. If a circle has a radius of 4 cm, what is its circumference? (Use π = 3.14) (2023)

A. 12.56 cm
B. 25.12 cm
C. 50.24 cm
D. 6.28 cm

Solution

Circumference = 2πr = 2 * 3.14 * 4 cm = 25.12 cm.

Correct Answer: A — 12.56 cm

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Q. If a circle has a radius of 4 cm, what is its diameter? (2022)

A. 4 cm
B. 8 cm
C. 12 cm
D. 16 cm

Solution

Diameter = 2 * radius = 2 * 4 cm = 8 cm.

Correct Answer: B — 8 cm

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Q. If a circle's radius is tripled, by what factor does the area increase? (2019)

A. 2
B. 3
C. 6
D. 9

Solution

Area = πr²; If r is tripled, new area = π(3r)² = 9πr²; Factor = 9.

Correct Answer: D — 9

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Q. If a circle's radius is tripled, how does its area change? (2021)

A. Increases by 3 times
B. Increases by 6 times
C. Increases by 9 times
D. Remains the same

Solution

Area = πr². If radius is tripled, new area = π(3r)² = 9πr², which is 9 times the original area.

Correct Answer: C — Increases by 9 times

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Q. If a circle's radius is tripled, how does its area change? (2023) 2023

A. Increases by 3 times
B. Increases by 6 times
C. Increases by 9 times
D. Remains the same

Solution

Area = πr². If radius is tripled, new area = π(3r)² = 9πr², which is 9 times the original area.

Correct Answer: C — Increases by 9 times

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Q. If a circuit has a resistance of 5 ohms and a current of 2 A, what is the voltage? (2014)

A. 10 V
B. 5 V
C. 2 V
D. 1 V

Solution

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

Correct Answer: A — 10 V

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Q. If a circuit has a total resistance of 12Ω and a current of 1.5A flows through it, what is the voltage across the circuit? (2022)

A. 18V
B. 12V
C. 15V
D. 10V

Solution

Using Ohm's law, V = IR = 1.5A * 12Ω = 18V.

Correct Answer: A — 18V

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Q. If a circuit has a total resistance of 12Ω and a current of 1.5A, what is the voltage across the circuit? (2021)

A. 18V
B. 12V
C. 15V
D. 10V

Solution

Using Ohm's law, V = IR = 1.5A * 12Ω = 18V.

Correct Answer: A — 18V

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Q. If a circuit has a total resistance of 12Ω and a current of 3A flows through it, what is the voltage across the circuit? (2020)

A. 36V
B. 12V
C. 4V
D. 24V

Solution

Using Ohm's law, V = IR = 3A * 12Ω = 36V.

Correct Answer: A — 36V

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Q. If a circuit has a total resistance of 12Ω and a current of 4A, what is the voltage across the circuit? (2023)

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

Solution

Using Ohm's law, V = IR = 4A * 12Ω = 48V.

Correct Answer: A — 48V

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Q. If a circuit has a total resistance of 5Ω and a current of 2A, what is the voltage across the circuit? (2022)

A. 10V
B. 5V
C. 2V
D. 1V

Solution

Using Ohm's law, V = I * R = 2A * 5Ω = 10V.

Correct Answer: A — 10V

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Q. If a circuit has a total resistance of 8Ω and a current of 4A, what is the voltage across the circuit? (2023)

A. 32V
B. 24V
C. 16V
D. 12V

Solution

Using Ohm's law, V = IR = 4A * 8Ω = 32V.

Correct Answer: A — 32V

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Q. If a coin is tossed twice, what is the probability of getting at least one head?

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

Solution

Total outcomes = 4 (HH, HT, TH, TT). Outcomes with at least one head = 3. Probability = 3/4.

Correct Answer: C — 3/4

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Q. If a die is rolled, what is the probability of getting an even number? (2022)

A. 1/2
B. 1/3
C. 1/6
D. 2/3

Solution

Even numbers on a die = 2, 4, 6. Probability = 3/6 = 1/2.

Correct Answer: A — 1/2

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Q. If a force of 10 N is applied to a mass of 2 kg, what is the acceleration of the mass? (2020)

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

Solution

Using F = ma, acceleration a = F/m = 10 N / 2 kg = 5 m/s².

Correct Answer: B — 5 m/s²

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Q. If a force of 10 N is applied to move an object 3 m in the direction of the force, what is the work done?

A. 30 J
B. 10 J
C. 3 J
D. 0 J

Solution

Work done = Force * Distance = 10 N * 3 m = 30 J.

Correct Answer: A — 30 J

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Q. If a force of 15 N is applied to a 3 kg object, what is the net force acting on the object if it is already moving with a velocity of 5 m/s? (2022)

A. 15 N
B. 3 N
C. 0 N
D. 18 N

Solution

The net force is still 15 N as it does not depend on the velocity of the object.

Correct Answer: A — 15 N

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