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 integrating factor for the equation dy/dx + (1/x)y = 2?
A.
x
B.
e^(ln(x))
C.
e^(ln(x^2))
D.
1/x
Show solution
Solution
The integrating factor is e^(∫(1/x)dx) = e^(ln(x)) = x.
Correct Answer:
C
— e^(ln(x^2))
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Q. What is the integrating factor for the equation dy/dx + 2y = 3?
A.
e^(2x)
B.
e^(-2x)
C.
e^(3x)
D.
e^(-3x)
Show solution
Solution
The integrating factor is e^(∫2dx) = e^(2x).
Correct Answer:
A
— e^(2x)
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Q. What is the integrating factor for the equation dy/dx + 2y = 6?
A.
e^(2x)
B.
e^(-2x)
C.
e^(6x)
D.
e^(-6x)
Show solution
Solution
The integrating factor is e^(∫2dx) = e^(2x).
Correct Answer:
A
— e^(2x)
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Q. What is the IUPAC name of CH3CH2Cl?
A.
Chloroethane
B.
Ethyl chloride
C.
Ethane chloride
D.
Chloromethane
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Solution
The IUPAC name of CH3CH2Cl is Chloroethane, as it is a two-carbon alkane with a chlorine substituent.
Correct Answer:
A
— Chloroethane
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Q. What is the IUPAC name of CH3CH2OH? (2021) 2021
A.
Ethanol
B.
Methanol
C.
Propanol
D.
Butanol
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Solution
The compound CH3CH2OH is an alcohol with two carbon atoms, which is named Ethanol.
Correct Answer:
A
— Ethanol
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Q. What is the IUPAC name of CH3CHO? (2023) 2023
A.
Acetaldehyde
B.
Ethanal
C.
Ethyl aldehyde
D.
Methyl ketone
Show solution
Solution
The IUPAC name of CH3CHO is ethanal, which is the simplest aldehyde.
Correct Answer:
B
— Ethanal
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Q. What is the IUPAC name of the compound CH3CH2NH2? (2021)
A.
Ethylamine
B.
Dimethylamine
C.
Propylamine
D.
Methylamine
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Solution
The IUPAC name of CH3CH2NH2 is Ethylamine, as it consists of an ethyl group attached to an amine.
Correct Answer:
A
— Ethylamine
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Q. What is the IUPAC name of the compound CH3COOH? (2020)
A.
Methanoic acid
B.
Ethanoic acid
C.
Propanoic acid
D.
Butanoic acid
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Solution
The IUPAC name of CH3COOH is Ethanoic acid, which is commonly known as acetic acid.
Correct Answer:
B
— Ethanoic acid
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Q. What is the kinetic energy of a 3 kg object moving at a speed of 4 m/s? (2022)
A.
24 J
B.
12 J
C.
6 J
D.
48 J
Show solution
Solution
Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 3 kg × (4 m/s)² = 24 J.
Correct Answer:
B
— 12 J
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Q. What is the kinetic energy of a 4 kg object moving at a speed of 3 m/s? (2015)
A.
18 J
B.
12 J
C.
24 J
D.
36 J
Show solution
Solution
Kinetic Energy (KE) = 0.5 × mass × velocity² = 0.5 × 4 kg × (3 m/s)² = 18 J.
Correct Answer:
B
— 12 J
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Q. What is the Ksp expression for the salt AgCl? (2023)
A.
[Ag+][Cl-]
B.
[AgCl]
C.
[Ag+][Cl-]^2
D.
[AgCl]^2
Show solution
Solution
The solubility product constant (Ksp) for AgCl is expressed as Ksp = [Ag+][Cl-], where [Ag+] and [Cl-] are the molar concentrations of the ions in a saturated solution.
Correct Answer:
A
— [Ag+][Cl-]
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Q. What is the Ksp of AgCl if the solubility of AgCl in water is 1.33 x 10^-5 M? (2023)
A.
1.78 x 10^-10
B.
1.33 x 10^-5
C.
1.33 x 10^-10
D.
1.78 x 10^-5
Show solution
Solution
Ksp = [Ag+][Cl-] = (1.33 x 10^-5)(1.33 x 10^-5) = 1.78 x 10^-10.
Correct Answer:
A
— 1.78 x 10^-10
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Q. What is the latent heat of fusion if 2000 J of energy is required to melt 0.5 kg of ice? (2021)
A.
2000 J/kg
B.
4000 J/kg
C.
1000 J/kg
D.
500 J/kg
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Solution
Latent heat of fusion (L) = Q / m = 2000 J / 0.5 kg = 4000 J/kg.
Correct Answer:
A
— 2000 J/kg
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Q. What is the latent heat of fusion if 2000 J of heat is required to melt 500 g of ice? (2022)
A.
2000 J/kg
B.
4000 J/kg
C.
1000 J/kg
D.
3000 J/kg
Show solution
Solution
Latent heat of fusion (L) = Q/m = 2000 J / 0.5 kg = 4000 J/kg.
Correct Answer:
A
— 2000 J/kg
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Q. What is the latent heat of fusion of ice if 80 calories are required to melt 20 grams of ice? (2020)
A.
40 cal/g
B.
60 cal/g
C.
80 cal/g
D.
100 cal/g
Show solution
Solution
Latent heat of fusion (L_f) = Q / m = 80 cal / 20 g = 4 cal/g.
Correct Answer:
C
— 80 cal/g
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Q. What is the latent heat of fusion of ice if 80 g of ice at 0°C melts to water at 0°C, absorbing 3360 J of heat? (2022)
A.
40 J/g
B.
60 J/g
C.
80 J/g
D.
100 J/g
Show solution
Solution
Latent heat of fusion (L) = Q/m = 3360 J / 80 g = 42 J/g.
Correct Answer:
C
— 80 J/g
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Q. What is the latent heat of vaporization if 500 g of water at 100°C is converted to steam at the same temperature, absorbing 2260 kJ of heat? (2023)
A.
2260 J/g
B.
450 J/g
C.
334 J/g
D.
1000 J/g
Show solution
Solution
Latent heat of vaporization (L) = Q / m = 2260 kJ / 500 g = 4.52 kJ/g = 2260 J/g.
Correct Answer:
A
— 2260 J/g
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Q. What is the latent heat of vaporization of water if 540 J of energy is required to convert 100 g of water at 100°C to steam? (2021)
A.
540 J/g
B.
54 J/g
C.
5.4 J/g
D.
0.54 J/g
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Solution
Latent heat of vaporization (L) = Q/m = 540 J / 100 g = 5.4 J/g.
Correct Answer:
A
— 540 J/g
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Q. What is the length of a chord that is 6 cm away from the center of a circle with a radius of 10 cm? (2015)
A.
8 cm
B.
12 cm
C.
10 cm
D.
6 cm
Show solution
Solution
Using Pythagoras: (radius)² = (distance from center)² + (half chord)²; 10² = 6² + (half chord)²; half chord = 8 cm, so full chord = 16 cm.
Correct Answer:
A
— 8 cm
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Q. What is the length of a chord that is 6 cm from the center of a circle with a radius of 10 cm? (2019)
A.
8 cm
B.
12 cm
C.
10 cm
D.
6 cm
Show solution
Solution
Using Pythagoras: chord length = 2√(r² - d²) = 2√(10² - 6²) = 2√(100 - 36) = 2√64 = 16 cm.
Correct Answer:
A
— 8 cm
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Q. What is the length of a diameter of a circle with a radius of 7 cm? (2022)
A.
14 cm
B.
21 cm
C.
7 cm
D.
28 cm
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Solution
Diameter = 2 × radius; Diameter = 2 × 7 cm = 14 cm.
Correct Answer:
A
— 14 cm
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Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (2021)
A.
10.47 cm
B.
12.57 cm
C.
15.71 cm
D.
20.94 cm
Show solution
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer:
B
— 12.57 cm
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Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (2021) 2021
A.
10.47 cm
B.
15.71 cm
C.
20.94 cm
D.
25.13 cm
Show solution
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer:
A
— 10.47 cm
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Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (Use π = 3.14) (2023)
A.
10.47 cm
B.
15.71 cm
C.
20.94 cm
D.
25.13 cm
Show solution
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer:
A
— 10.47 cm
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Q. What is the length of an arc of a circle with a radius of 4 cm and a central angle of 90 degrees? (2021)
A.
2π cm
B.
4π cm
C.
π cm
D.
8 cm
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Solution
Arc length = (θ/360) * 2πr = (90/360) * 2π * 4 = 2π cm.
Correct Answer:
A
— 2π cm
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Q. What is the length of an arc of a circle with a radius of 5 cm and a central angle of 60 degrees? (2020)
A.
5.24 cm
B.
3.14 cm
C.
5.00 cm
D.
10.47 cm
Show solution
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2π(5) = (1/6) * 10π ≈ 5.24 cm.
Correct Answer:
A
— 5.24 cm
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Q. What is the length of an arc of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14) (2020)
A.
6.28 cm
B.
3.14 cm
C.
12.56 cm
D.
9.42 cm
Show solution
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 6 cm = 6.28 cm.
Correct Answer:
A
— 6.28 cm
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Q. What is the length of an arc of a circle with radius 5 cm and angle 60 degrees? (2020)
A.
5.24 cm
B.
3.14 cm
C.
5.00 cm
D.
6.00 cm
Show solution
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * π * 5 = 5.24 cm.
Correct Answer:
A
— 5.24 cm
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Q. What is the length of the diagonal of a cuboid with dimensions 2, 3, and 6? (2022)
A.
√49
B.
√45
C.
√36
D.
√50
Show solution
Solution
Diagonal = √(2² + 3² + 6²) = √(4 + 9 + 36) = √49 = 7.
Correct Answer:
A
— √49
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Q. What is the length of the diagonal of a rectangle with vertices at (0, 0), (0, 3), (4, 0), and (4, 3)? (2022)
Show solution
Solution
Diagonal = √[(4-0)² + (3-0)²] = √[16 + 9] = √25 = 5.
Correct Answer:
A
— 5
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