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 solution to the equation y' + 3y = 0?
A.
y = Ce^(-3x)
B.
y = Ce^(3x)
C.
y = 3Ce^(-x)
D.
y = Ce^(-x/3)
Show solution
Solution
This is a first-order linear differential equation. The solution is y = Ce^(-3x).
Correct Answer:
A
— y = Ce^(-3x)
Learn More →
Q. What is the solution to the equation y' = 3y + 6?
A.
y = Ce^(3x) - 2
B.
y = Ce^(3x) + 2
C.
y = 2e^(3x)
D.
y = 3Ce^(x)
Show solution
Solution
This is a first-order linear equation. The integrating factor is e^(3x), leading to the solution y = Ce^(3x) + 2.
Correct Answer:
B
— y = Ce^(3x) + 2
Learn More →
Q. What is the solution to the equation y'' + 4y = 0?
A.
y = C1 cos(2x) + C2 sin(2x)
B.
y = C1 e^(2x) + C2 e^(-2x)
C.
y = C1 e^(4x) + C2 e^(-4x)
D.
y = C1 sin(4x) + C2 cos(4x)
Show solution
Solution
The characteristic equation is r^2 + 4 = 0, giving complex roots. The general solution is y = C1 cos(2x) + C2 sin(2x).
Correct Answer:
A
— y = C1 cos(2x) + C2 sin(2x)
Learn More →
Q. What is the solution to the equation y'' - 3y' + 2y = 0?
A.
y = C1 e^(2x) + C2 e^(x)
B.
y = C1 e^(x) + C2 e^(2x)
C.
y = C1 e^(-x) + C2 e^(-2x)
D.
y = C1 + C2x
Show solution
Solution
The characteristic equation r^2 - 3r + 2 = 0 has roots 1 and 2, leading to y = C1 e^(x) + C2 e^(2x).
Correct Answer:
B
— y = C1 e^(x) + C2 e^(2x)
Learn More →
Q. What is the specific heat at constant volume (Cv) for a monatomic ideal gas? (2019)
A.
3R/2
B.
5R/2
C.
R
D.
2R
Show solution
Solution
For a monatomic ideal gas, the specific heat at constant volume (Cv) is 3R/2.
Correct Answer:
A
— 3R/2
Learn More →
Q. What is the specific heat capacity of a substance if it requires 500 J to raise the temperature of 2 kg of the substance by 10°C? (2021)
A.
25 J/kg°C
B.
50 J/kg°C
C.
100 J/kg°C
D.
200 J/kg°C
Show solution
Solution
Specific heat capacity (c) = Q / (m * ΔT) = 500 J / (2 kg * 10°C) = 25 J/kg°C.
Correct Answer:
B
— 50 J/kg°C
Learn More →
Q. What is the specific heat capacity of a substance if it requires 500 J to raise the temperature of 2 kg of the substance by 5°C? (2021)
A.
20 J/kg°C
B.
50 J/kg°C
C.
100 J/kg°C
D.
200 J/kg°C
Show solution
Solution
Specific heat capacity (c) = Q / (m * ΔT) = 500 J / (2 kg * 5°C) = 50 J/kg°C.
Correct Answer:
B
— 50 J/kg°C
Learn More →
Q. What is the specific heat capacity of a substance if it takes 500 J to raise the temperature of 2 kg of the substance by 5°C? (2021)
A.
20 J/kg°C
B.
50 J/kg°C
C.
100 J/kg°C
D.
200 J/kg°C
Show solution
Solution
Specific heat capacity (c) = Q / (m * ΔT) = 500 J / (2 kg * 5°C) = 50 J/kg°C
Correct Answer:
B
— 50 J/kg°C
Learn More →
Q. What is the specific heat capacity of water at constant pressure (C_p)? (2020)
A.
4.18 J/g°C
B.
2.09 J/g°C
C.
1.00 J/g°C
D.
3.00 J/g°C
Show solution
Solution
The specific heat capacity of water at constant pressure is approximately 4.18 J/g°C.
Correct Answer:
A
— 4.18 J/g°C
Learn More →
Q. What is the specific heat capacity of water if it takes 4200 J to raise the temperature of 1 kg of water by 1°C? (2021)
A.
2100 J/kg°C
B.
4200 J/kg°C
C.
8400 J/kg°C
D.
1000 J/kg°C
Show solution
Solution
The specific heat capacity of water is defined as the amount of heat required to raise the temperature of 1 kg of water by 1°C, which is given as 4200 J/kg°C.
Correct Answer:
B
— 4200 J/kg°C
Learn More →
Q. What is the specific heat capacity of water? (2021) 2021
A.
1 J/g°C
B.
4.18 J/g°C
C.
2 J/g°C
D.
0.9 J/g°C
Show solution
Solution
The specific heat capacity of water is approximately 4.18 J/g°C.
Correct Answer:
B
— 4.18 J/g°C
Learn More →
Q. What is the speed of light in vacuum? (2020)
A.
3 x 10^8 m/s
B.
3 x 10^6 m/s
C.
3 x 10^7 m/s
D.
3 x 10^9 m/s
Show solution
Solution
The speed of light in vacuum is approximately 3 x 10^8 m/s.
Correct Answer:
A
— 3 x 10^8 m/s
Learn More →
Q. What is the square of the modulus of the complex number 1 + 2i? (2014)
Show solution
Solution
The modulus is √(1^2 + 2^2) = √(1 + 4) = √5. The square of the modulus is 5.
Correct Answer:
A
— 5
Learn More →
Q. What is the square of the modulus of the complex number 1 + i? (2020)
Show solution
Solution
The modulus is √(1^2 + 1^2) = √2, and the square of the modulus is 2.
Correct Answer:
A
— 2
Learn More →
Q. What is the square root of 64? (2020)
Show solution
Solution
The square root of 64 is 8.
Correct Answer:
C
— 8
Learn More →
Q. What is the square root of the complex number -1? (2021)
Show solution
Solution
The square root of -1 is defined as i.
Correct Answer:
A
— i
Learn More →
Q. What is the square root of the complex number -4? (2020)
A.
2i
B.
-2i
C.
4i
D.
-4i
Show solution
Solution
The square root of -4 is √(-1) * √4 = 2i.
Correct Answer:
A
— 2i
Learn More →
Q. What is the standard electrode potential of the half-reaction Zn²⁺ + 2e⁻ → Zn?
A.
0.76 V
B.
0.34 V
C.
-0.76 V
D.
-0.34 V
Show solution
Solution
The standard electrode potential for Zn²⁺/Zn is -0.76 V.
Correct Answer:
C
— -0.76 V
Learn More →
Q. What is the standard electrode potential of the hydrogen electrode? (2023) 2023
A.
0 V
B.
1 V
C.
2 V
D.
0.5 V
Show solution
Solution
The standard electrode potential of the hydrogen electrode is defined as 0 V.
Correct Answer:
A
— 0 V
Learn More →
Q. What is the structure of a nucleotide?
A.
Sugar, phosphate, and base
B.
Amino group, carboxyl group, and side chain
C.
Glycerol and fatty acids
D.
Monosaccharides
Show solution
Solution
A nucleotide consists of a sugar, a phosphate group, and a nitrogenous base.
Correct Answer:
A
— Sugar, phosphate, and base
Learn More →
Q. What is the sum of the angles in a triangle? (2017)
A.
180 degrees
B.
360 degrees
C.
90 degrees
D.
270 degrees
Show solution
Solution
The sum of the angles in a triangle is always 180 degrees.
Correct Answer:
A
— 180 degrees
Learn More →
Q. What is the sum of the coefficients in the expansion of (2 + 3)^4? (2022)
A.
81
B.
64
C.
100
D.
125
Show solution
Solution
The sum of the coefficients is (2 + 3)^4 = 5^4 = 625.
Correct Answer:
A
— 81
Learn More →
Q. What is the sum of the coefficients in the expansion of (3x - 2)^4? (2023)
Show solution
Solution
To find the sum of the coefficients, substitute x = 1. Thus, (3(1) - 2)^4 = (3 - 2)^4 = 1^4 = 1.
Correct Answer:
B
— 81
Learn More →
Q. What is the sum of the coefficients in the expansion of (x + 2)^5? (2021)
Show solution
Solution
The sum of the coefficients is found by substituting x=1. So, (1 + 2)^5 = 3^5 = 243.
Correct Answer:
B
— 64
Learn More →
Q. What is the sum of the complex numbers 1 + 2i and 3 - 4i? (2023)
A.
4 - 2i
B.
4 + 2i
C.
2 - 2i
D.
2 + 2i
Show solution
Solution
(1 + 2i) + (3 - 4i) = (1 + 3) + (2 - 4)i = 4 - 2i.
Correct Answer:
A
— 4 - 2i
Learn More →
Q. What is the sum of the complex numbers 3 + 2i and 1 - 4i? (2023)
A.
4 - 2i
B.
2 - 2i
C.
4 + 2i
D.
2 + 2i
Show solution
Solution
(3 + 2i) + (1 - 4i) = (3 + 1) + (2 - 4)i = 4 - 2i.
Correct Answer:
A
— 4 - 2i
Learn More →
Q. What is the sum of the roots of the equation 2x² - 4x + 1 = 0? (2023)
Show solution
Solution
The sum of the roots is given by -b/a = 4/2 = 2.
Correct Answer:
A
— 2
Learn More →
Q. What is the sum of the roots of the equation 3x² + 12x + 9 = 0? (2021)
Show solution
Solution
The sum of the roots is given by -b/a = -12/3 = -4.
Correct Answer:
A
— -4
Learn More →
Q. What is the symbol for Gold?
Show solution
Solution
The symbol for Gold is Au.
Correct Answer:
A
— Au
Learn More →
Q. What is the temperature in Celsius if the temperature in Kelvin is 273 K?
A.
0°C
B.
100°C
C.
-273°C
D.
273°C
Show solution
Solution
To convert Kelvin to Celsius, use the formula: °C = K - 273. Therefore, 273 K - 273 = 0°C.
Correct Answer:
A
— 0°C
Learn More →
Showing 2101 to 2130 of 2530 (85 Pages)
