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 happens to the particles in a solid when it is heated? (2023)
A.
They move closer together.
B.
They vibrate more vigorously.
C.
They become gas.
D.
They stop moving.
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Solution
When a solid is heated, its particles gain energy and vibrate more vigorously, potentially leading to a change in state.
Correct Answer:
B
— They vibrate more vigorously.
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Q. What happens to the particles of a solid when it is heated? (2023)
A.
They move closer together
B.
They vibrate faster
C.
They become a gas
D.
They lose mass
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Solution
When a solid is heated, its particles gain energy and vibrate faster, which can lead to a change in state.
Correct Answer:
B
— They vibrate faster
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Q. What happens to the particles of a substance when it changes from a solid to a liquid? (2023)
A.
They lose energy
B.
They gain energy
C.
They remain unchanged
D.
They become more ordered
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Solution
When a solid melts into a liquid, the particles gain energy, allowing them to overcome some of the forces holding them in fixed positions.
Correct Answer:
B
— They gain energy
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Q. What happens to the pressure of a gas if the volume is decreased while the temperature remains constant?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Doubles
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Solution
According to Boyle's Law, if the volume decreases and temperature is constant, the pressure increases.
Correct Answer:
A
— Increases
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Q. What happens to the temperature of a gas during an isothermal expansion? (2021)
A.
Increases
B.
Decreases
C.
Remains constant
D.
Varies with pressure
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Solution
During an isothermal expansion, the temperature of the gas remains constant as the system absorbs heat to do work.
Correct Answer:
C
— Remains constant
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Q. What happens to the total current in a parallel circuit if one branch is removed? (2021)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Depends on the branch
Show solution
Solution
Removing a branch in a parallel circuit decreases the total current.
Correct Answer:
B
— Decreases
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Q. What happens to the volume of a gas when its temperature increases at constant pressure? (2020)
A.
Volume decreases
B.
Volume remains constant
C.
Volume increases
D.
Volume fluctuates
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Solution
According to Charles's Law, the volume of a gas increases with an increase in temperature at constant pressure.
Correct Answer:
C
— Volume increases
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Q. What is 100 - (25 × 3)? (2022)
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Solution
25 × 3 = 75, then 100 - 75 = 25.
Correct Answer:
C
— 75
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Q. What is 100 ÷ 4 + 25? (2018)
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Solution
100 ÷ 4 = 25, then 25 + 25 = 50.
Correct Answer:
B
— 75
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Q. What is 25 × 4? (2014)
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Q. What is the 10th term of the arithmetic sequence where the first term is 5 and the common difference is 3?
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Solution
The nth term of an arithmetic sequence is given by a_n = a + (n-1)d. Here, a = 5, d = 3, n = 10. So, a_10 = 5 + (10-1) * 3 = 5 + 27 = 32.
Correct Answer:
B
— 35
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Q. What is the 12th term of the arithmetic sequence where the first term is 7 and the common difference is 5?
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Solution
Using the formula a_n = a + (n-1)d, we have a_12 = 7 + (12-1) * 5 = 7 + 55 = 62.
Correct Answer:
A
— 62
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Q. What is the 3rd term in the expansion of (2x + 3)^4?
A.
108x^2
B.
216x^2
C.
324x^2
D.
432x^2
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Solution
The 3rd term is given by C(4,2) * (2x)^2 * (3)^2 = 6 * 4x^2 * 9 = 216x^2.
Correct Answer:
B
— 216x^2
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Q. What is the 3rd term in the expansion of (2x + 5)^6? (2000)
A.
600x^4
B.
1500x^4
C.
1800x^4
D.
2000x^4
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Solution
The 3rd term is given by C(6,2) * (2x)^2 * (5)^4 = 15 * 4 * 625 = 37500.
Correct Answer:
B
— 1500x^4
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Q. What is the 3rd term in the expansion of (2x - 3)^5? (2022)
A.
-90x^3
B.
90x^3
C.
-60x^3
D.
60x^3
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Solution
The 3rd term is C(5,2) * (2x)^3 * (-3)^2 = 10 * 8x^3 * 9 = -720x^3.
Correct Answer:
A
— -90x^3
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Q. What is the 3rd term in the expansion of (x + 2)^5? (2021)
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Solution
The 3rd term is given by C(5,2) * (x)^3 * (2)^2 = 10 * x^3 * 4 = 40.
Correct Answer:
C
— 60
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Q. What is the 3rd term in the expansion of (x + 2)^8? (2022)
A.
112
B.
128
C.
256
D.
64
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Solution
The 3rd term is given by 8C2 * (2)^2 * (x)^6 = 28 * 4 * x^6 = 112x^6.
Correct Answer:
A
— 112
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Q. What is the 3rd term in the expansion of (x + 3)^4? (2023)
A.
36x^2
B.
54x^2
C.
72x^2
D.
108x^2
Show solution
Solution
The 3rd term is C(4,2) * (3)^2 * (x)^2 = 6 * 9 * x^2 = 54x^2.
Correct Answer:
B
— 54x^2
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Q. What is the 3rd term in the expansion of (x + 3)^5? (2023)
A.
45
B.
90
C.
135
D.
180
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Solution
The 3rd term is C(5,2) * (3)^2 * (x)^3 = 10 * 9 * x^3 = 90.
Correct Answer:
B
— 90
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Q. What is the 3rd term in the expansion of (x + 3)^7? (2023)
A.
189
B.
441
C.
729
D.
1024
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Solution
The 3rd term is C(7,2) * (3)^2 * (x)^5 = 21 * 9 * x^5 = 189.
Correct Answer:
B
— 441
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Q. What is the 3rd term in the expansion of (x + 4)^5? (2023)
A.
80x^3
B.
160x^3
C.
240x^3
D.
320x^3
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Solution
The 3rd term is given by C(5,2) * (4)^2 * (x)^3 = 10 * 16 * x^3 = 160x^3.
Correct Answer:
C
— 240x^3
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Q. What is the 3rd term in the expansion of (x + 4)^6? (2020)
A.
240x^4
B.
360x^4
C.
480x^4
D.
600x^4
Show solution
Solution
The 3rd term is C(6,2) * (4)^2 * (x)^4 = 15 * 16 * x^4 = 240x^4.
Correct Answer:
B
— 360x^4
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Q. What is the 4th term in the expansion of (2x - 3)^6? (2020)
A.
-540
B.
540
C.
-720
D.
720
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Solution
The 4th term is C(6,3) * (2x)^3 * (-3)^3 = 20 * 8x^3 * -27 = -540.
Correct Answer:
A
— -540
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Q. What is the 5th term in the expansion of (2 + 3x)^6? (2023)
A.
486
B.
540
C.
729
D.
810
Show solution
Solution
The 5th term is given by 6C4 * (2)^(6-4) * (3x)^4 = 15 * 4 * 81x^4 = 4860x^4.
Correct Answer:
B
— 540
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Q. What is the 5th term in the expansion of (3x - 2)^7? (2023)
A.
-1680x^3
B.
1680x^3
C.
-2520x^3
D.
2520x^3
Show solution
Solution
The 5th term is given by C(7,4) * (3x)^4 * (-2)^3 = 35 * 81 * (-8) = -1680x^3.
Correct Answer:
A
— -1680x^3
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Q. What is the 5th term in the expansion of (x - 1)^8? (2022)
A.
-56x^4
B.
56x^4
C.
-70x^4
D.
70x^4
Show solution
Solution
The 5th term corresponds to k=4. Using the binomial theorem, it is given by 8C4 * (x)^4 * (-1)^4 = 70x^4.
Correct Answer:
A
— -56x^4
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Q. What is the 5th term of the sequence defined by a_n = 2n^2 + 3n - 1?
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Solution
To find the 5th term, substitute n = 5 into the formula: a_5 = 2(5^2) + 3(5) - 1 = 2(25) + 15 - 1 = 50 + 15 - 1 = 64.
Correct Answer:
B
— 47
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Q. What is the 8th term of the sequence defined by a_n = 3n - 2?
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Solution
Substituting n = 8 into the formula: a_8 = 3(8) - 2 = 24 - 2 = 22.
Correct Answer:
A
— 22
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Q. What is the angle between the lines y = 2x + 1 and y = -1/2x + 3?
A.
90 degrees
B.
60 degrees
C.
45 degrees
D.
30 degrees
Show solution
Solution
The slopes are m1 = 2 and m2 = -1/2. The angle θ = tan^(-1) |(m1 - m2) / (1 + m1*m2)| = tan^(-1)(5/4) which is approximately 60 degrees.
Correct Answer:
B
— 60 degrees
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Q. What is the angle subtended at the center of a circle by an arc of length 5 cm if the radius is 10 cm? (2022)
A.
30 degrees
B.
60 degrees
C.
90 degrees
D.
45 degrees
Show solution
Solution
Arc length = (θ/360) * 2πr; 5 = (θ/360) * 2π * 10; θ = (5 * 360) / (20π) = 30 degrees.
Correct Answer:
B
— 60 degrees
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