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 conjugate of the complex number 5 - 2i? (2020)
A.
5 + 2i
B.
5 - 2i
C.
2 - 5i
D.
5 - i
Show solution
Solution
The conjugate of a complex number a + bi is a - bi. Thus, the conjugate of 5 - 2i is 5 + 2i.
Correct Answer:
A
— 5 + 2i
Learn More →
Q. What is the constant term in the expansion of (2x^2 - 3/x)^5? (2020)
Show solution
Solution
The constant term occurs when 2k - 5 = 0, k = 2. The term is C(5,2)(-3)^3(2^2) = 10 * -27 * 4 = -1080.
Correct Answer:
A
— -243
Learn More →
Q. What is the coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and (3, 6)? (2022)
A.
(3, 2)
B.
(2, 3)
C.
(3, 3)
D.
(4, 2)
Show solution
Solution
Centroid = ((0+6+3)/3, (0+0+6)/3) = (3, 2).
Correct Answer:
A
— (3, 2)
Learn More →
Q. What is the coordination number of the central metal ion in the complex ion [Co(NH3)6]Cl3? (2021)
Show solution
Solution
In the complex ion [Co(NH3)6]Cl3, the central metal ion Co is surrounded by 6 ammonia (NH3) ligands, which gives it a coordination number of 6.
Correct Answer:
C
— 6
Learn More →
Q. What is the coordination number of the complex ion [Co(NH3)5Cl]Cl2? (2023)
Show solution
Solution
In the complex [Co(NH3)5Cl]Cl2, cobalt is surrounded by five ammonia ligands and one chloride ligand, giving it a coordination number of 6.
Correct Answer:
C
— 6
Learn More →
Q. What is the coordination number of the complex ion [Co(NH3)6]Cl3? (2022) 2022
Show solution
Solution
The coordination number is determined by the number of ligands attached to the central metal ion. Here, Co is surrounded by 6 NH3 ligands.
Correct Answer:
B
— 6
Learn More →
Q. What is the coordination number of the metal ion in the complex [Co(NH3)5Cl]Cl2? (2023)
Show solution
Solution
In the complex [Co(NH3)5Cl]Cl2, cobalt is surrounded by five ammonia ligands and one chloride ligand, giving it a coordination number of 6.
Correct Answer:
C
— 6
Learn More →
Q. What is the cross product of vectors A = i + j and B = j + k? (2022)
A.
i + k
B.
i - k
C.
j - i
D.
k - j
Show solution
Solution
A × B = |i j k| |1 1 0| |0 1 1| = i(1*1 - 0*1) - j(1*1 - 0*0) + k(1*0 - 1*0) = i - j.
Correct Answer:
A
— i + k
Learn More →
Q. What is the current through a 10Ω resistor connected to a 20V battery? (2020)
Show solution
Solution
Using Ohm's law, I = V/R = 20V / 10Ω = 2A.
Correct Answer:
B
— 2A
Learn More →
Q. What is the current through a 12Ω resistor connected to a 24V battery? (2023)
Show solution
Solution
Using Ohm's law, I = V/R = 24V / 12Ω = 2A.
Correct Answer:
B
— 2A
Learn More →
Q. What is the current through a 12Ω resistor connected to a 48V power supply? (2021)
Show solution
Solution
Using Ohm's law, I = V/R = 48V / 12Ω = 4A.
Correct Answer:
A
— 4A
Learn More →
Q. What is the current through a 12Ω resistor connected to a 48V source? (2021)
Show solution
Solution
Using Ohm's law, I = V/R = 48V / 12Ω = 4A.
Correct Answer:
A
— 4A
Learn More →
Q. What is the current through a 12Ω resistor when a voltage of 48V is applied across it? (2021)
Show solution
Solution
Using Ohm's law, I = V/R = 48V / 12Ω = 4A.
Correct Answer:
C
— 4A
Learn More →
Q. What is the current through a 12Ω resistor when a voltage of 48V is applied? (2023)
Show solution
Solution
Using Ohm's law, I = V/R = 48V / 12Ω = 4A.
Correct Answer:
B
— 6A
Learn More →
Q. What is the current through a 15Ω resistor connected to a 45V source? (2021)
Show solution
Solution
Using Ohm's law, I = V/R = 45V / 15Ω = 3A.
Correct Answer:
A
— 3A
Learn More →
Q. What is the de Broglie wavelength of an electron moving with a velocity of 1 x 10^6 m/s? (mass of electron = 9.11 x 10^-31 kg) (2022)
A.
6.63 x 10^-24 m
B.
6.63 x 10^-22 m
C.
6.63 x 10^-20 m
D.
6.63 x 10^-18 m
Show solution
Solution
λ = h / p = h / (mv) = 6.63 x 10^-34 / (9.11 x 10^-31 * 1 x 10^6) = 6.63 x 10^-24 m.
Correct Answer:
A
— 6.63 x 10^-24 m
Learn More →
Q. What is the derivative of f(x) = 1/x?
A.
-1/x^2
B.
1/x^2
C.
-x
D.
x
Show solution
Solution
The derivative f'(x) = d/dx(1/x) = -1/x^2.
Correct Answer:
A
— -1/x^2
Learn More →
Q. What is the derivative of f(x) = 2x^3 - 9x^2 + 12x? (2021)
A.
6x^2 - 18x + 12
B.
6x^2 - 18x
C.
6x^2 + 18x
D.
6x^2 - 12
Show solution
Solution
f'(x) = 6x^2 - 18x + 12.
Correct Answer:
A
— 6x^2 - 18x + 12
Learn More →
Q. What is the derivative of f(x) = 3x^2 + 5x - 7? (2021) 2021
A.
3x + 5
B.
6x + 5
C.
6x - 5
D.
3x^2 + 5
Show solution
Solution
The derivative f'(x) = d/dx(3x^2 + 5x - 7) = 6x + 5.
Correct Answer:
B
— 6x + 5
Learn More →
Q. What is the derivative of f(x) = 5x^4?
A.
20x^3
B.
5x^3
C.
15x^3
D.
4x^3
Show solution
Solution
The derivative f'(x) = d/dx(5x^4) = 20x^3.
Correct Answer:
A
— 20x^3
Learn More →
Q. What is the derivative of f(x) = e^(2x)?
A.
2e^(2x)
B.
e^(2x)
C.
e^(x)
D.
2x*e^(2x)
Show solution
Solution
Using the chain rule, f'(x) = d/dx(e^(2x)) = 2e^(2x).
Correct Answer:
A
— 2e^(2x)
Learn More →
Q. What is the derivative of f(x) = x^3 - 4x + 6?
A.
3x^2 - 4
B.
3x^2 + 4
C.
x^2 - 4
D.
3x^2 - 6
Show solution
Solution
The derivative f'(x) = d/dx(x^3 - 4x + 6) = 3x^2 - 4.
Correct Answer:
A
— 3x^2 - 4
Learn More →
Q. What is the derivative of f(x) = x^3 - 4x?
A.
3x^2 - 4
B.
3x^2 + 4
C.
x^2 - 4
D.
3x^2 - 2
Show solution
Solution
The derivative f'(x) = d/dx(x^3 - 4x) = 3x^2 - 4.
Correct Answer:
A
— 3x^2 - 4
Learn More →
Q. What is the derivative of f(x) = x^4 + 2x^3 - x + 1? (2017)
A.
4x^3 + 6x^2 - 1
B.
4x^3 + 2x^2 - 1
C.
3x^3 + 6x^2 - 1
D.
4x^3 + 2x - 1
Show solution
Solution
The derivative f'(x) = d/dx(x^4 + 2x^3 - x + 1) = 4x^3 + 6x^2 - 1.
Correct Answer:
A
— 4x^3 + 6x^2 - 1
Learn More →
Q. What is the determinant of F = [[2, 0], [0, 3]]? (2023)
Show solution
Solution
Determinant of F = (2*3) - (0*0) = 6.
Correct Answer:
D
— 6
Learn More →
Q. What is the determinant of G = [[1, 1, 1], [1, 2, 3], [1, 3, 6]]? (2023)
Show solution
Solution
Det(G) = 1(2*6 - 3*3) - 1(1*6 - 1*3) + 1(1*3 - 1*2) = 1(12 - 9) - 1(6 - 3) + 1(3 - 2) = 3 - 3 + 1 = 1.
Correct Answer:
A
— 0
Learn More →
Q. What is the determinant of G = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]? (2020)
Show solution
Solution
Det(G) = 1(5*9 - 6*8) - 2(4*9 - 6*7) + 3(4*8 - 5*7) = 1(45 - 48) - 2(36 - 42) + 3(32 - 35) = -3 + 12 - 9 = 0.
Correct Answer:
A
— 0
Learn More →
Q. What is the determinant of G = [[1, 2], [2, 4]]? (2020)
Show solution
Solution
Determinant of G = (1*4) - (2*2) = 4 - 4 = 0.
Correct Answer:
A
— 0
Learn More →
Q. What is the determinant of G = [[2, 1], [1, 2]]? (2021)
Show solution
Solution
Det(G) = (2*2) - (1*1) = 4 - 1 = 3.
Correct Answer:
B
— 2
Learn More →
Q. What is the determinant of G = [[2, 2], [2, 2]]? (2020)
Show solution
Solution
Det(G) = (2*2) - (2*2) = 4 - 4 = 0.
Correct Answer:
A
— 0
Learn More →
Showing 1531 to 1560 of 2530 (85 Pages)
