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 bond angle in a methane (CH4) molecule? (2023) 2023
A.
90 degrees
B.
109.5 degrees
C.
120 degrees
D.
180 degrees
Show solution
Solution
The bond angle in methane (CH4) is approximately 109.5 degrees due to its tetrahedral geometry.
Correct Answer:
B
— 109.5 degrees
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Q. What is the capacitance of a capacitor that stores 10 µC of charge at a potential difference of 5 V?
A.
2 µF
B.
5 µF
C.
10 µF
D.
20 µF
Show solution
Solution
C = Q/V = 10 × 10^-6 C / 5 V = 2 × 10^-6 F = 2 µF.
Correct Answer:
A
— 2 µF
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Q. What is the capacitive reactance of a capacitor of 10μF at a frequency of 60 Hz? (2016)
A.
265.26Ω
B.
159.15Ω
C.
100Ω
D.
50Ω
Show solution
Solution
Capacitive reactance Xc = 1 / (2πfC) = 1 / (2π * 60 * 10e-6) = 265.26Ω.
Correct Answer:
A
— 265.26Ω
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Q. What is the capacitive reactance of a capacitor with a capacitance of 10μF at a frequency of 50Hz? (2020)
A.
318.31 ohms
B.
159.15 ohms
C.
31.83 ohms
D.
15.92 ohms
Show solution
Solution
Xc = 1 / (2πfC) = 1 / (2π × 50 × 10 × 10^-6) = 318.31 ohms.
Correct Answer:
A
— 318.31 ohms
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Q. What is the cell potential of a Daniell cell at standard conditions?
A.
1.10 V
B.
1.96 V
C.
0.76 V
D.
0.34 V
Show solution
Solution
The standard cell potential of a Daniell cell is 1.10 V.
Correct Answer:
A
— 1.10 V
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Q. What is the cell potential of a galvanic cell with E° = 1.5 V and Q = 10?
A.
1.2 V
B.
1.0 V
C.
1.3 V
D.
1.4 V
Show solution
Solution
Using the Nernst equation, E = E° - (RT/nF)lnQ, we find E ≈ 1.0 V.
Correct Answer:
B
— 1.0 V
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Q. What is the change in entropy when 1 kg of water at 100°C is converted to steam at 100°C? (Latent heat of vaporization = 2260 kJ/kg) (2021)
A.
2260 J/K
B.
2260 kJ/K
C.
0 J/K
D.
1130 J/K
Show solution
Solution
ΔS = Q/T = 2260 kJ / 373 K = 6.06 kJ/K.
Correct Answer:
A
— 2260 J/K
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Q. What is the change in internal energy (ΔU) for an ideal gas that expands isothermally? (2022)
A.
0
B.
nRT
C.
nRΔT
D.
PV
Show solution
Solution
For an isothermal process, the change in internal energy ΔU = 0 for an ideal gas.
Correct Answer:
A
— 0
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Q. What is the change in internal energy for an ideal gas that expands isothermally? (2019)
A.
nRT
B.
0
C.
-nRT
D.
nR(Tf - Ti)
Show solution
Solution
For an isothermal process, the change in internal energy (ΔU) for an ideal gas is zero, as ΔU depends only on temperature.
Correct Answer:
B
— 0
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Q. What is the change in internal energy of 1 mole of an ideal gas when it is heated at constant volume from 300 K to 600 K?
A.
0 J
B.
300 J
C.
600 J
D.
900 J
Show solution
Solution
ΔU = nCvΔT. For a monatomic gas, Cv = (3/2)R. ΔU = 1 * (3/2)(8.31 J/mol K)(600 - 300) = 900 J.
Correct Answer:
D
— 900 J
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Q. What is the change in internal energy of a gas that absorbs 300 J of heat and does 100 J of work on the surroundings? (2020)
A.
200 J
B.
300 J
C.
400 J
D.
500 J
Show solution
Solution
Change in internal energy (ΔU) = Q - W = 300 J - 100 J = 200 J.
Correct Answer:
A
— 200 J
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Q. What is the change in internal energy of a system if 200 J of heat is added and 50 J of work is done by the system?
A.
150 J
B.
250 J
C.
200 J
D.
100 J
Show solution
Solution
Using the first law of thermodynamics, ΔU = Q - W = 200 J - 50 J = 150 J.
Correct Answer:
A
— 150 J
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Q. What is the change in internal energy of a system if 300 J of heat is added and 100 J of work is done by the system? (2021)
A.
200 J
B.
300 J
C.
400 J
D.
500 J
Show solution
Solution
Using the first law of thermodynamics: ΔU = Q - W = 300 J - 100 J = 200 J.
Correct Answer:
A
— 200 J
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Q. What is the change in internal energy of an ideal gas when it expands isothermally? (2021)
A.
Zero
B.
Positive
C.
Negative
D.
Depends on the gas
Show solution
Solution
In an isothermal process for an ideal gas, the internal energy remains constant, hence the change in internal energy is zero.
Correct Answer:
A
— Zero
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Q. What is the change in internal energy of an ideal gas when it is heated at constant volume? (2021) 2021
A.
Zero
B.
Equal to heat added
C.
Equal to work done
D.
Equal to pressure times volume
Show solution
Solution
At constant volume, the change in internal energy (ΔU) is equal to the heat added (Q). Therefore, ΔU = Q.
Correct Answer:
B
— Equal to heat added
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Q. What is the chemical formula for sodium chloride? (2023) 2023
A.
NaCl
B.
Na2Cl
C.
NaCl2
D.
Na2Cl2
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Solution
The chemical formula for sodium chloride is NaCl.
Correct Answer:
A
— NaCl
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Q. What is the chemical formula for table salt? (2019)
A.
NaCl
B.
KCl
C.
CaCl2
D.
MgCl2
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Solution
Table salt is chemically known as sodium chloride, which has the formula NaCl.
Correct Answer:
A
— NaCl
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Q. What is the coefficient of x^0 in the expansion of (2x - 3)^5? (2022)
A.
-243
B.
243
C.
-81
D.
81
Show solution
Solution
The constant term is C(5,5)(-3)^5 = -243.
Correct Answer:
A
— -243
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Q. What is the coefficient of x^0 in the expansion of (3x + 2)^5? (2022)
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Solution
The coefficient of x^0 is C(5,5) * (3x)^0 * (2)^5 = 1 * 32 = 32.
Correct Answer:
C
— 64
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Q. What is the coefficient of x^0 in the expansion of (x + 1/x)^8? (2021)
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Solution
The coefficient of x^0 occurs when k=4, which gives us 8C4 = 70.
Correct Answer:
C
— 70
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Q. What is the coefficient of x^1 in the expansion of (x + 1)^10? (2021)
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Solution
The coefficient of x^1 is C(10,1)(1)^9 = 10.
Correct Answer:
A
— 10
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Q. What is the coefficient of x^1 in the expansion of (x + 5)^6?
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Solution
The coefficient of x^1 is C(6,1) * 5^5 = 6 * 3125 = 18750.
Correct Answer:
C
— 90
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Q. What is the coefficient of x^1 in the expansion of (x - 1)^5?
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Solution
The coefficient of x^1 is given by 5C1 * (-1)^4 = 5 * 1 = 5.
Correct Answer:
A
— -5
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Q. What is the coefficient of x^2 in the expansion of (2x + 1)^6?
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Solution
The coefficient of x^2 is C(6,2) * (2)^2 * (1)^4 = 15 * 4 = 60.
Correct Answer:
B
— 30
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Q. What is the coefficient of x^2 in the expansion of (2x - 1)^5? (2021)
Show solution
Solution
The coefficient of x^2 is C(5,2) * (2)^2 * (-1)^3 = 10 * 4 * (-1) = -40.
Correct Answer:
B
— 20
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Q. What is the coefficient of x^2 in the expansion of (3x - 4)^6?
A.
540
B.
720
C.
1080
D.
1440
Show solution
Solution
The coefficient of x^2 is C(6,2) * (3)^2 * (-4)^(6-2) = 15 * 9 * 256 = 34560.
Correct Answer:
C
— 1080
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Q. What is the coefficient of x^2 in the expansion of (x + 1/2)^8?
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Solution
The coefficient of x^2 is C(8,2) * (1/2)^2 = 28 * 1/4 = 7.
Correct Answer:
C
— 70
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Q. What is the coefficient of x^2 in the expansion of (x + 3)^5?
Show solution
Solution
The coefficient of x^2 is given by 5C2 * (3)^3 = 10 * 27 = 270.
Correct Answer:
A
— 45
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Q. What is the coefficient of x^2 in the expansion of (x + 4)^5?
A.
80
B.
100
C.
120
D.
160
Show solution
Solution
The coefficient of x^2 is C(5,2) * 4^3 = 10 * 64 = 640.
Correct Answer:
A
— 80
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Q. What is the coefficient of x^2 in the expansion of (x + 5)^4?
A.
50
B.
100
C.
150
D.
200
Show solution
Solution
The coefficient of x^2 is C(4,2) * (5)^2 = 6 * 25 = 150.
Correct Answer:
B
— 100
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