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. What is the pKa of acetic acid?
A.
4.76
B.
5.76
C.
3.76
D.
6.76
Show solution
Solution
The pKa of acetic acid is approximately 4.76.
Correct Answer:
A
— 4.76
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Q. What is the pKa range of most carboxylic acids?
A.
0-1
B.
4-5
C.
8-9
D.
10-11
Show solution
Solution
Most carboxylic acids have a pKa range of about 4-5.
Correct Answer:
B
— 4-5
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Q. What is the pKb value of a weak base like aniline? (2020)
A.
Less than 5
B.
Around 9
C.
Around 14
D.
Greater than 15
Show solution
Solution
Aniline has a pKb value around 9, indicating it is a weak base.
Correct Answer:
B
— Around 9
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Q. What is the pKb value of a weak base like methylamine?
A.
Less than 7
B.
Equal to 7
C.
Greater than 7
D.
Undefined
Show solution
Solution
Methylamine is a weak base, so its pKb value is less than 7.
Correct Answer:
A
— Less than 7
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Q. What is the point of inflection for the function f(x) = x^3 - 6x^2 + 9x? (2023) 2023
A.
(1, 4)
B.
(2, 3)
C.
(3, 0)
D.
(0, 0)
Show solution
Solution
To find inflection points, set f''(x) = 0. f''(x) = 6x - 12 = 0, x = 2. f(2) = 4.
Correct Answer:
A
— (1, 4)
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Q. What is the point of intersection of the lines x + 2y = 5 and 2x - y = 1?
A.
(1, 2)
B.
(2, 1)
C.
(3, 0)
D.
(0, 5)
Show solution
Solution
Solving the equations simultaneously, we find the intersection point is (1, 2).
Correct Answer:
A
— (1, 2)
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Q. What is the point of intersection of the lines x + y = 5 and 2x - y = 1?
A.
(2, 3)
B.
(3, 2)
C.
(1, 4)
D.
(4, 1)
Show solution
Solution
Solving the equations simultaneously, we find x = 2 and y = 3. Thus, the point of intersection is (2, 3).
Correct Answer:
A
— (2, 3)
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Q. What is the point of intersection of the lines y = 2x + 1 and y = -x + 4?
A.
(1, 3)
B.
(2, 5)
C.
(3, 7)
D.
(0, 1)
Show solution
Solution
Setting 2x + 1 = -x + 4 gives 3x = 3, thus x = 1. Substituting back, y = 2(1) + 1 = 3. The intersection is (1, 3).
Correct Answer:
A
— (1, 3)
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Q. What is the point of intersection of the lines y = 3x + 1 and y = -x + 5?
A.
(1, 4)
B.
(2, 7)
C.
(3, 10)
D.
(4, 13)
Show solution
Solution
Setting 3x + 1 = -x + 5 gives 4x = 4, thus x = 1. Substituting x back gives y = 4. The intersection point is (1, 4).
Correct Answer:
A
— (1, 4)
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Q. What is the potential difference across a 5Ω resistor carrying a current of 2A? (2023)
Show solution
Solution
Using Ohm's law, V = IR = 2A * 5Ω = 10V.
Correct Answer:
A
— 10V
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Q. What is the potential energy of a 5 kg object at a height of 10 m?
A.
50 J
B.
100 J
C.
150 J
D.
200 J
Show solution
Solution
Potential energy (PE) is calculated using PE = mgh. Here, PE = 5 kg * 9.8 m/s² * 10 m = 490 J, which rounds to 100 J for the options provided.
Correct Answer:
B
— 100 J
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Q. What is the potential energy of a system of two charges of +1 µC and +2 µC separated by 0.1 m?
A.
180 J
B.
90 J
C.
45 J
D.
36 J
Show solution
Solution
U = k * (q1 * q2) / r = (9 × 10^9) * (1 × 10^-6 * 2 × 10^-6) / 0.1 = 36 J.
Correct Answer:
D
— 36 J
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Q. What is the potential energy of an object of mass 2 kg at a height of 5 m? (g = 10 m/s²) (2018)
A.
100 J
B.
50 J
C.
20 J
D.
10 J
Show solution
Solution
Potential Energy (PE) = mgh = 2 kg × 10 m/s² × 5 m = 100 J.
Correct Answer:
A
— 100 J
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Q. What is the potential energy of an object of mass 2 kg at a height of 5 m? (g = 9.8 m/s²) (2019)
A.
98 J
B.
100 J
C.
90 J
D.
80 J
Show solution
Solution
Potential Energy (PE) = mgh = 2 kg × 9.8 m/s² × 5 m = 98 J.
Correct Answer:
A
— 98 J
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Q. What is the power consumed by a 100Ω resistor when a current of 0.5A flows through it? (2020)
A.
25W
B.
50W
C.
100W
D.
12.5W
Show solution
Solution
Power (P) is given by P = I^2R = (0.5A)^2 * 100Ω = 0.25 * 100 = 25W.
Correct Answer:
A
— 25W
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Q. What is the power consumed by a 6Ω resistor when a current of 2A flows through it? (2023)
A.
12W
B.
24W
C.
6W
D.
8W
Show solution
Solution
Power (P) is given by P = I²R = (2A)² * 6Ω = 4 * 6 = 24W.
Correct Answer:
A
— 12W
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Q. What is the power consumed by a 6Ω resistor when a current of 3A flows through it? (2021)
A.
18W
B.
9W
C.
36W
D.
12W
Show solution
Solution
Power (P) is given by P = I^2 * R = (3A)^2 * 6Ω = 9 * 6 = 54W.
Correct Answer:
A
— 18W
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Q. What is the power consumed in an AC circuit with a voltage of 230V and a current of 5A with a power factor of 0.8? (2023)
A.
920W
B.
1150W
C.
115W
D.
460W
Show solution
Solution
Power = V × I × Power Factor = 230V × 5A × 0.8 = 920W.
Correct Answer:
A
— 920W
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Q. What is the power factor in a circuit with a resistance of 5 ohms and a reactance of 5 ohms? (2022)
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Solution
Power factor = R/Z = 5/√(5² + 5²) = 5/√50 = √2/2.
Correct Answer:
D
— √2/2
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Q. What is the power factor in an AC circuit with a phase angle of 30 degrees? (2022)
A.
0.5
B.
0.866
C.
1
D.
0.707
Show solution
Solution
The power factor is cos(30°) = √3/2 ≈ 0.866.
Correct Answer:
B
— 0.866
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Q. What is the power factor of a circuit with a resistance of 30Ω and a reactance of 40Ω? (2023)
A.
0.6
B.
0.75
C.
0.8
D.
1.0
Show solution
Solution
Power factor = R/Z where Z = √(R² + X²). Calculate.
Correct Answer:
A
— 0.6
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Q. What is the power factor of a circuit with a resistance of 4Ω and a reactance of 3Ω? (2021)
A.
0.6
B.
0.8
C.
1.0
D.
0.75
Show solution
Solution
Power factor = R/Z = R/√(R² + X²) = 4/√(4² + 3²) = 4/5 = 0.8.
Correct Answer:
A
— 0.6
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Q. What is the power factor of a circuit with a resistance of 5 ohms and a reactance of 5 ohms? (2022)
Show solution
Solution
Power factor = R/Z = 5/√(5² + 5²) = 5/√50 = √2/2.
Correct Answer:
D
— √2/2
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Q. What is the power factor of a circuit with a resistance of 5Ω and an inductive reactance of 5Ω? (2022)
A.
0.5
B.
0.707
C.
1
D.
0
Show solution
Solution
Power factor = R/Z = 5 / √(5² + 5²) = 5 / √50 = 0.707.
Correct Answer:
B
— 0.707
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Q. What is the power factor of a circuit with a resistance of 6Ω and a reactance of 8Ω? (2022)
A.
0.75
B.
0.8
C.
0.6
D.
1.0
Show solution
Solution
Power factor = R/Z = R/√(R² + X²) = 6/√(6² + 8²) = 6/10 = 0.6.
Correct Answer:
B
— 0.8
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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
Show solution
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°? (2022)
A.
0.5
B.
0.866
C.
1
D.
0.707
Show solution
Solution
The power factor is cos(60°) = 0.5.
Correct Answer:
B
— 0.866
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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
Show solution
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
Show solution
Solution
Power = Work / Time = 3000 J / 15 s = 200 W.
Correct Answer:
B
— 300 W
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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
Show solution
Solution
Pressure (P) = Force/Area = 100 N / 5 m² = 20 Pa.
Correct Answer:
B
— 25 Pa
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