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 total resistance in a circuit with a 10Ω resistor in series with a 20Ω resistor? (2022)
A.
10Ω
B.
20Ω
C.
30Ω
D.
15Ω
Show solution
Solution
In series, R_eq = R1 + R2 = 10Ω + 20Ω = 30Ω.
Correct Answer:
C
— 30Ω
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Q. What is the total resistance in a circuit with a 4Ω and a 6Ω resistor in series? (2022)
A.
10Ω
B.
24Ω
C.
2.4Ω
D.
1.5Ω
Show solution
Solution
In series, R_total = R1 + R2 = 4Ω + 6Ω = 10Ω.
Correct Answer:
A
— 10Ω
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Q. What is the total resistance in a series circuit with resistors of 2Ω, 3Ω, and 5Ω?
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Solution
In a series circuit, total resistance (R_total) is the sum of individual resistances: R_total = R1 + R2 + R3 = 2Ω + 3Ω + 5Ω = 10Ω.
Correct Answer:
A
— 10Ω
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Q. What is the total resistance of two 4Ω resistors connected in series? (2020)
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Solution
In series, R_eq = R1 + R2 = 4Ω + 4Ω = 8Ω.
Correct Answer:
B
— 8Ω
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Q. What is the total resistance of two resistors of 4Ω and 6Ω connected in parallel? (2021)
A.
2.4Ω
B.
10Ω
C.
24Ω
D.
1.5Ω
Show solution
Solution
For parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/6. Finding a common denominator gives R_eq = 2.4Ω.
Correct Answer:
A
— 2.4Ω
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Q. What is the Tyndall effect? (2023)
A.
Scattering of light by particles
B.
Absorption of light by particles
C.
Reflection of light by particles
D.
Refraction of light by particles
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Solution
The Tyndall effect is the scattering of light by colloidal particles, making the path of the light visible.
Correct Answer:
A
— Scattering of light by particles
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Q. What is the unit of electric charge in the SI system? (2019)
A.
Coulomb
B.
Ampere
C.
Volt
D.
Ohm
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Solution
The unit of electric charge is Coulomb (C).
Correct Answer:
A
— Coulomb
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Q. What is the unit of electrical conductivity? (2023)
A.
Ohm
B.
Siemens
C.
Volt
D.
Ampere
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Solution
The unit of electrical conductivity is Siemens (S).
Correct Answer:
B
— Siemens
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Q. What is the unit of the rate constant for a first-order reaction? (2023)
A.
M/s
B.
M²/s
C.
s⁻¹
D.
M⁻¹s⁻¹
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Solution
The unit of the rate constant for a first-order reaction is s⁻¹.
Correct Answer:
C
— s⁻¹
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Q. What is the unit of work in the SI system? (2023)
A.
Joule
B.
Newton
C.
Watt
D.
Pascal
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Solution
The SI unit of work is Joule (J).
Correct Answer:
A
— Joule
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Q. What is the valency of Magnesium? (2015)
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Solution
Magnesium has a valency of 2, as it can lose two electrons.
Correct Answer:
B
— 2
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Q. What is the valency of Oxygen? (2021)
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Solution
Oxygen has a valency of 2, as it needs two electrons to complete its outer shell.
Correct Answer:
B
— 2
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Q. What is the value of (1 + i)(1 - i)? (2019)
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Solution
(1 + i)(1 - i) = 1^2 - i^2 = 1 - (-1) = 1 + 1 = 2.
Correct Answer:
A
— 2
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Q. What is the value of (2 + 3) × (4 - 1)? (2023)
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Solution
Using BODMAS: (2 + 3) = 5 and (4 - 1) = 3, so 5 × 3 = 15.
Correct Answer:
C
— 10
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Q. What is the value of (2 + 3) × 4? (2022)
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Solution
(2 + 3) × 4 = 5 × 4 = 20.
Correct Answer:
A
— 20
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Q. What is the value of (2 + 3)^3?
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Solution
Using the binomial theorem, (2 + 3)^3 = C(3,0)(2)^3 + C(3,1)(2)^2(3) + C(3,2)(2)(3)^2 + C(3,3)(3)^3 = 8 + 36 + 54 + 27 = 125.
Correct Answer:
B
— 30
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Q. What is the value of (2 + 3i) - (1 + 2i)? (2014)
A.
1 + i
B.
1 + i^2
C.
2 + i
D.
3 + i
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Solution
(2 + 3i) - (1 + 2i) = (2 - 1) + (3i - 2i) = 1 + i.
Correct Answer:
A
— 1 + i
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Q. What is the value of (2 + 3i) / (1 + i)? (2015)
A.
1 + 2i
B.
2 - i
C.
3 + 2i
D.
1 - 2i
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Solution
Multiply numerator and denominator by the conjugate of the denominator: (2 + 3i)(1 - i) / (1 + i)(1 - i) = (2 - 2i + 3i + 3) / (1 + 1) = (5 + i) / 2 = 2.5 + 0.5i.
Correct Answer:
B
— 2 - i
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Q. What is the value of (2 + 3i)(2 - 3i)? (2019)
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Solution
Using the difference of squares: (a + b)(a - b) = a² - b². Here, (2)² - (3i)² = 4 - (-9) = 4 + 9 = 13.
Correct Answer:
A
— 13
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Q. What is the value of (2 - 3)^5?
A.
-1
B.
-32
C.
-243
D.
-125
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Solution
Using the binomial theorem, (2 - 3)^5 = (-1)^5 = -1.
Correct Answer:
D
— -125
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Q. What is the value of (3 + 4i) / (1 + i)? (2021)
A.
2 + i
B.
1 + 2i
C.
3 - 4i
D.
1 - i
Show solution
Solution
Multiplying numerator and denominator by the conjugate of the denominator: (3 + 4i)(1 - i) / (1 + i)(1 - i) = (3 - 3i + 4i + 4) / 2 = (7 + i) / 2 = 2 + i.
Correct Answer:
A
— 2 + i
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Q. What is the value of (3 + 5) × (2 + 4)? (2020)
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Solution
(3 + 5) = 8 and (2 + 4) = 6, so 8 × 6 = 48.
Correct Answer:
B
— 56
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Q. What is the value of (3 + 5) × (2 - 1)? (2020)
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Solution
(3 + 5) = 8 and (2 - 1) = 1, so 8 × 1 = 8.
Correct Answer:
A
— 8
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Q. What is the value of (3 + 5) × (6 - 2)? (2020)
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Solution
(3 + 5) = 8 and (6 - 2) = 4, so 8 × 4 = 32.
Correct Answer:
B
— 24
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Q. What is the value of (3 + 5) × 2? (2023)
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Solution
(3 + 5) × 2 = 8 × 2 = 16.
Correct Answer:
B
— 14
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Q. What is the value of (3 - 2)^5 using the binomial theorem?
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Solution
Using the binomial theorem, (3 - 2)^5 = 1^5 = 1.
Correct Answer:
A
— 1
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Q. What is the value of (3^3) - (2^3)? (2016)
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Solution
3^3 = 27 and 2^3 = 8, so 27 - 8 = 19.
Correct Answer:
A
— 19
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Q. What is the value of (x + 1)^5 when x = 2?
A.
32
B.
64
C.
128
D.
256
Show solution
Solution
Using the binomial theorem, (x + 1)^5 = C(5,0)(2)^5 + C(5,1)(2)^4 + C(5,2)(2)^3 + C(5,3)(2)^2 + C(5,4)(2)^1 + C(5,5)(2)^0 = 32 + 80 + 80 + 40 + 10 + 1 = 243.
Correct Answer:
C
— 128
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Q. What is the value of 100 - 37? (2014)
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Q. What is the value of 100 ÷ 4 + 6? (2023) 2023
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Solution
100 ÷ 4 = 25, so 25 + 6 = 31.
Correct Answer:
C
— 28
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