Engineering Entrance MCQ & Objective Questions
Preparing for Engineering Entrance exams is crucial for aspiring engineers in India. Mastering MCQs and objective questions not only enhances your understanding of key concepts but also boosts your confidence during exams. Regular practice with these questions helps identify important topics and improves your overall exam preparation.
What You Will Practise Here
Fundamental concepts of Physics and Mathematics
Key formulas and their applications in problem-solving
Important definitions and theorems relevant to engineering
Diagrams and graphical representations for better understanding
Conceptual questions that challenge your critical thinking
Previous years' question papers and their analysis
Time management strategies while solving MCQs
Exam Relevance
The Engineering Entrance syllabus is integral to various examinations like CBSE, State Boards, NEET, and JEE. Questions often focus on core subjects such as Physics, Chemistry, and Mathematics, with formats varying from direct MCQs to application-based problems. Understanding the common question patterns can significantly enhance your performance and help you tackle the exams with ease.
Common Mistakes Students Make
Overlooking the importance of units and dimensions in calculations
Misinterpreting questions due to lack of careful reading
Neglecting to review basic concepts before attempting advanced problems
Rushing through practice questions without thorough understanding
FAQs
Question: What are the best ways to prepare for Engineering Entrance MCQs?Answer: Focus on understanding concepts, practice regularly with objective questions, and review previous years' papers.
Question: How can I improve my speed in solving MCQs?Answer: Regular practice, time-bound mock tests, and familiarizing yourself with common question types can help improve your speed.
Start your journey towards success by solving Engineering Entrance MCQ questions today! Test your understanding and build a strong foundation for your exams.
Q. If a 5 kg object is moving with a speed of 10 m/s, what is its total mechanical energy assuming no potential energy?
A.
250 J
B.
500 J
C.
100 J
D.
50 J
Show solution
Solution
Total Mechanical Energy = Kinetic Energy = 0.5 * m * v² = 0.5 * 5 kg * (10 m/s)² = 250 J.
Correct Answer:
B
— 500 J
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Q. If a 5 kg object is moving with a velocity of 3 m/s, what is its kinetic energy? (2023)
A.
22.5 J
B.
30 J
C.
45 J
D.
60 J
Show solution
Solution
Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 5 kg × (3 m/s)² = 22.5 J
Correct Answer:
C
— 45 J
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Q. If a 5 kg object is moving with a velocity of 3 m/s, what is its momentum? (2023)
A.
5 kg·m/s
B.
10 kg·m/s
C.
15 kg·m/s
D.
20 kg·m/s
Show solution
Solution
Momentum p = mv = 5 kg * 3 m/s = 15 kg·m/s.
Correct Answer:
C
— 15 kg·m/s
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Q. If a 5 kg object is subjected to a net force of 20 N, what is its acceleration? (2023)
A.
2 m/s²
B.
4 m/s²
C.
5 m/s²
D.
10 m/s²
Show solution
Solution
Using F = ma, we find a = F/m = 20 N / 5 kg = 4 m/s².
Correct Answer:
B
— 4 m/s²
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Q. If a 5Ω resistor is connected in series with a 10Ω resistor, what is the total resistance? (2022)
A.
15Ω
B.
5Ω
C.
10Ω
D.
20Ω
Show solution
Solution
In series, R_eq = R1 + R2 = 5Ω + 10Ω = 15Ω.
Correct Answer:
A
— 15Ω
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Q. If a 5Ω resistor is connected to a 10V source, what is the power dissipated? (2023)
A.
2W
B.
5W
C.
10W
D.
20W
Show solution
Solution
Power P = V²/R = (10V)² / 5Ω = 100 / 5 = 20W.
Correct Answer:
C
— 10W
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Q. If a 6Ω and a 3Ω resistor are connected in parallel, what is the equivalent resistance? (2022)
A.
2Ω
B.
4Ω
C.
1.5Ω
D.
9Ω
Show solution
Solution
Using the formula for parallel resistors: 1/R_eq = 1/R1 + 1/R2 = 1/6 + 1/3 = 1/6 + 2/6 = 3/6. Therefore, R_eq = 2Ω.
Correct Answer:
A
— 2Ω
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Q. If a 6Ω resistor is connected in parallel with a 3Ω resistor, what is the equivalent resistance? (2023)
A.
2Ω
B.
1.5Ω
C.
4Ω
D.
9Ω
Show solution
Solution
Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/6 + 1/3 = 1/6 + 2/6 = 3/6, thus R_eq = 2Ω.
Correct Answer:
A
— 2Ω
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Q. If a 9V battery is connected to a 3Ω resistor, what is the current flowing through it? (2021)
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Solution
Using Ohm's law, I = V/R = 9V / 3Ω = 3A.
Correct Answer:
B
— 2A
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Q. If a 9V battery is connected to a 3Ω resistor, what is the energy consumed in 10 seconds? (2023)
A.
30J
B.
90J
C.
60J
D.
45J
Show solution
Solution
Power (P) = V²/R = 9²/3 = 27W. Energy (E) = P * t = 27W * 10s = 270J.
Correct Answer:
B
— 90J
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Q. If a 9V battery is connected to a 3Ω resistor, what is the power dissipated in the resistor? (2023)
Show solution
Solution
Power (P) can be calculated using P = V²/R = (9V)² / 3Ω = 81 / 3 = 27W.
Correct Answer:
A
— 3W
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Q. If a 9V battery is connected to a 3Ω resistor, what is the voltage drop across the resistor? (2023)
Show solution
Solution
The voltage drop across the resistor is equal to the battery voltage, which is 9V.
Correct Answer:
C
— 9V
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Q. If a = 2 and b = 3, what is the value of a^3 + b^3? (2021)
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Solution
a^3 = 2^3 = 8 and b^3 = 3^3 = 27, so 8 + 27 = 35.
Correct Answer:
A
— 35
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Q. If A = 2i + 3j and B = 3i + 4j, what is the angle between A and B? (2021)
A.
0 degrees
B.
45 degrees
C.
90 degrees
D.
180 degrees
Show solution
Solution
cos(θ) = (A · B) / (|A||B|) = (2*3 + 3*4) / (√(2^2 + 3^2) * √(3^2 + 4^2)) = 0.7071, θ = 45 degrees.
Correct Answer:
B
— 45 degrees
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Q. If a = 3 and b = 4, what is a^2 + b^2? (2017)
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Solution
a^2 = 9 and b^2 = 16, so 9 + 16 = 25.
Correct Answer:
A
— 25
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Q. If a = 3 and b = 4, what is the value of a^2 + b^2? (2019)
Show solution
Solution
a^2 = 9 and b^2 = 16, so 9 + 16 = 25.
Correct Answer:
A
— 25
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Q. If A = 3i + 4j and B = 2i - j, what is A + B? (2021)
A.
5i + 3j
B.
5i + 5j
C.
1i + 5j
D.
1i + 3j
Show solution
Solution
A + B = (3i + 4j) + (2i - j) = (3 + 2)i + (4 - 1)j = 5i + 3j.
Correct Answer:
A
— 5i + 3j
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Q. If a = 4 and b = 2, what is the value of a^2 + b^2? (2020)
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Solution
a^2 = 16 and b^2 = 4, so 16 + 4 = 20.
Correct Answer:
A
— 20
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Q. If A = 4i + 2j and B = -i + 3j, what is the scalar triple product A · (B × A)? (2023)
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Solution
B × A = |i j k| |-1 3 0| |4 2 0| = 0, hence A · (B × A) = 0.
Correct Answer:
A
— 0
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Q. If A = 5i + 12j, what is the unit vector in the direction of A? (2021)
A.
(5/13)i + (12/13)j
B.
(12/13)i + (5/13)j
C.
(5/12)i + (12/5)j
D.
(12/5)i + (5/12)j
Show solution
Solution
Unit vector = A / |A| = (5i + 12j) / √(5^2 + 12^2) = (5/13)i + (12/13)j.
Correct Answer:
A
— (5/13)i + (12/13)j
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Q. If A = i + 2j + 3k and B = 4i + 5j + 6k, what is A - B? (2023)
A.
-3i - 3j - 3k
B.
-3i - 3j + 3k
C.
3i + 3j + 3k
D.
3i + 3j - 3k
Show solution
Solution
A - B = (1 - 4)i + (2 - 5)j + (3 - 6)k = -3i - 3j - 3k.
Correct Answer:
A
— -3i - 3j - 3k
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Q. If A = {2, 4, 6} and B = {1, 2, 3}, what is A ∩ B?
A.
{2}
B.
{4, 6}
C.
{1, 2, 3}
D.
{}
Show solution
Solution
The intersection A ∩ B includes elements that are in both A and B. Here, A ∩ B = {2}.
Correct Answer:
A
— {2}
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Q. If A = {x | x is a prime number less than 10}, what is A?
A.
{2, 3, 5, 7}
B.
{1, 2, 3, 4}
C.
{2, 4, 6, 8}
D.
{3, 5, 7, 9}
Show solution
Solution
The prime numbers less than 10 are 2, 3, 5, and 7. Therefore, A = {2, 3, 5, 7}.
Correct Answer:
A
— {2, 3, 5, 7}
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Q. If A = {x | x is an even number} and B = {x | x is a multiple of 3}, what is A ∪ B?
A.
{0, 2, 4, 6, ...}
B.
{0, 3, 6, 9, ...}
C.
{0, 2, 3, 4, 6, 9, ...}
D.
{0, 1, 2, 3, ...}
Show solution
Solution
The union A ∪ B includes all even numbers and all multiples of 3. Thus, A ∪ B = {0, 2, 3, 4, 6, 9, ...}.
Correct Answer:
C
— {0, 2, 3, 4, 6, 9, ...}
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Q. If a bag contains 4 green and 6 yellow marbles, what is the probability of picking a yellow marble?
A.
2/5
B.
3/5
C.
4/5
D.
1/5
Show solution
Solution
Total marbles = 4 + 6 = 10. Probability of yellow = 6/10 = 3/5.
Correct Answer:
B
— 3/5
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Q. If a bag contains 4 green and 6 yellow marbles, what is the probability of picking a green marble?
A.
2/5
B.
4/10
C.
4/6
D.
1/3
Show solution
Solution
Total marbles = 4 + 6 = 10. Probability of green marble = 4/10 = 2/5.
Correct Answer:
A
— 2/5
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Q. If a body is moving in a circular path with a constant speed, what is its acceleration? (2023)
A.
Zero
B.
Tangential
C.
Centripetal
D.
Radial
Show solution
Solution
The body experiences centripetal acceleration directed towards the center of the circular path.
Correct Answer:
C
— Centripetal
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Q. If a body is moving in a circular path with a constant speed, what type of acceleration does it experience?
A.
Centripetal acceleration
B.
Linear acceleration
C.
Angular acceleration
D.
No acceleration
Show solution
Solution
A body moving in a circular path experiences centripetal acceleration directed towards the center of the circle.
Correct Answer:
A
— Centripetal acceleration
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Q. If a capacitor is charged to 12V and has a capacitance of 6μF, what is the stored energy? (2022)
A.
0.432 mJ
B.
0.072 mJ
C.
0.864 mJ
D.
0.216 mJ
Show solution
Solution
Energy = 0.5 × C × V² = 0.5 × 6 × 10^-6 × 12² = 0.432 mJ.
Correct Answer:
A
— 0.432 mJ
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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 gained by the car? (2021)
A.
200,000 J
B.
100,000 J
C.
50,000 J
D.
400,000 J
Show solution
Solution
Kinetic Energy (KE) = 0.5 × mass (m) × velocity² (v²). KE = 0.5 × 1000 kg × (20 m/s)² = 200,000 J.
Correct Answer:
B
— 100,000 J
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