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 value of the 5th term in the expansion of (3x - 2)^6? (2023)
A.
-540
B.
540
C.
720
D.
360
Show solution
Solution
The 5th term is given by C(6,4) * (3x)^4 * (-2)^2 = 15 * 81 * 4 = -4860.
Correct Answer:
A
— -540
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Q. What is the value of the azimuthal quantum number (l) for a d orbital? (2021) 2021
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Solution
The azimuthal quantum number l for d orbitals is 2.
Correct Answer:
C
— 2
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Q. What is the value of the azimuthal quantum number (l) for a p-orbital? (2015)
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Solution
The azimuthal quantum number (l) for a p-orbital is 1.
Correct Answer:
B
— 1
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Q. What is the value of the coefficient of x^4 in the expansion of (x - 2)^6? (2023)
A.
-15
B.
-60
C.
-90
D.
-120
Show solution
Solution
The coefficient of x^4 is C(6,4) * (-2)^2 = 15 * 4 = -60.
Correct Answer:
B
— -60
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Q. What is the value of the coefficient of x^5 in the expansion of (x + 1/2)^8?
A.
56
B.
112
C.
128
D.
64
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Solution
The coefficient of x^5 is given by 8C5 * (1/2)^3 = 56 * 1/8 = 7.
Correct Answer:
A
— 56
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Q. What is the value of the coefficient of x^5 in the expansion of (x + 2)^7?
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Solution
The coefficient of x^5 is given by 7C5 * (2)^2 = 21 * 4 = 84.
Correct Answer:
C
— 56
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Q. What is the value of the determinant of the matrix B = [[2, 3], [5, 7]]? (2020)
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Solution
Determinant of B = (2*7) - (3*5) = 14 - 15 = -1.
Correct Answer:
C
— 11
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Q. What is the value of the determinant of the matrix B = [[5, 1], [2, 3]]? (2022)
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Solution
Determinant of B = (5*3) - (1*2) = 15 - 2 = 13.
Correct Answer:
A
— 10
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Q. What is the value of the discriminant for the equation 3x² + 6x + 2 = 0? (2020)
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Solution
The discriminant D = b² - 4ac = 6² - 4*3*2 = 36 - 24 = 12.
Correct Answer:
B
— 4
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Q. What is the value of the discriminant for the equation 3x² - 12x + 12 = 0? (2020)
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Solution
The discriminant D = b² - 4ac = (-12)² - 4*3*12 = 144 - 144 = 0.
Correct Answer:
A
— 0
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Q. What is the value of the discriminant for the equation x² - 2x + 1 = 0? (2022)
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Solution
The discriminant is b² - 4ac = (-2)² - 4*1*1 = 0.
Correct Answer:
A
— 0
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Q. What is the value of the discriminant for the equation x² - 4x + 4 = 0? (2022)
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Solution
The discriminant is b² - 4ac = (-4)² - 4*1*4 = 0.
Correct Answer:
A
— 0
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Q. What is the value of the term containing x^4 in the expansion of (x + 1/2)^8? (2020)
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Solution
The term containing x^4 is C(8,4) * (1/2)^4 = 70 * 1/16 = 4.375.
Correct Answer:
A
— 70
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Q. What is the value of the term containing x^5 in the expansion of (x + 1/2)^8? (2020)
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Solution
The term containing x^5 is C(8,5)(1/2)^3 = 56 * 1/8 = 7.
Correct Answer:
B
— 56
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Q. What is the value of the term containing x^5 in the expansion of (x + 2)^8? (2020)
A.
112
B.
128
C.
256
D.
64
Show solution
Solution
The term containing x^5 is C(8,5)(2)^3 = 56 * 8 = 448.
Correct Answer:
B
— 128
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Q. What is the value of x where f(x) = x^3 - 3x has a local maximum? (2022)
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Solution
f'(x) = 3x^2 - 3. Setting f'(x) = 0 gives x = ±1. f(1) = -2.
Correct Answer:
C
— 1
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Q. What is the value of \( \begin{vmatrix} 2 & 1 \\ 3 & 4 \end{vmatrix} \)? (2022)
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Solution
The determinant is calculated as \( 2*4 - 1*3 = 8 - 3 = 5 \).
Correct Answer:
A
— 5
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Q. What is the value of \( |D| \) for the matrix \( D = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} \)? (2023)
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Solution
The determinant is \( 0*0 - 1*1 = 0 - 1 = -1 \).
Correct Answer:
A
— 1
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Q. What is the value of \( |H| \) for \( H = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \)? (2021)
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Solution
The determinant of the identity matrix is always 1.
Correct Answer:
B
— 1
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Q. What is the vertex of the parabola represented by the equation y = x² - 4x + 3? (2022)
A.
(2, -1)
B.
(2, 1)
C.
(1, 2)
D.
(3, 0)
Show solution
Solution
The vertex can be found using the formula x = -b/2a. Here, x = 2, and substituting back gives y = -1.
Correct Answer:
A
— (2, -1)
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Q. What is the vertex of the parabola represented by the equation y = x² - 6x + 8? (2023)
A.
(3, -1)
B.
(3, -5)
C.
(2, -4)
D.
(2, -2)
Show solution
Solution
The vertex can be found using the formula x = -b/2a = 6/2 = 3. Substituting x = 3 into the equation gives y = -1.
Correct Answer:
A
— (3, -1)
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Q. What is the voltage across a 10Ω resistor carrying a current of 3A? (2022)
A.
30V
B.
20V
C.
10V
D.
15V
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Solution
Using Ohm's law, V = IR = 3A * 10Ω = 30V.
Correct Answer:
A
— 30V
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Q. What is the voltage across a 12Ω resistor carrying a current of 1.5A? (2023)
A.
18V
B.
12V
C.
6V
D.
24V
Show solution
Solution
Using Ohm's law, V = IR = 1.5A * 12Ω = 18V.
Correct Answer:
A
— 18V
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Q. What is the voltage across a 12Ω resistor carrying a current of 3A? (2023)
A.
36V
B.
24V
C.
12V
D.
18V
Show solution
Solution
Using Ohm's law, V = IR = 3A * 12Ω = 36V.
Correct Answer:
A
— 36V
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Q. What is the voltage across a 5Ω resistor carrying a current of 3A? (2023)
A.
15V
B.
10V
C.
5V
D.
20V
Show solution
Solution
Using Ohm's law, V = IR = 3A * 5Ω = 15V.
Correct Answer:
A
— 15V
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Q. What is the voltage across a 5Ω resistor if a current of 3A flows through it? (2020)
A.
15V
B.
10V
C.
5V
D.
20V
Show solution
Solution
Using Ohm's law, V = IR = 3A * 5Ω = 15V.
Correct Answer:
A
— 15V
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Q. What is the volume of 0.2 M NaOH required to neutralize 0.1 M HCl in 250 mL? (2020)
A.
125 mL
B.
250 mL
C.
500 mL
D.
100 mL
Show solution
Solution
Using the formula M1V1 = M2V2, (0.1 M)(0.25 L) = (0.2 M)(V2). V2 = 0.125 L = 125 mL.
Correct Answer:
A
— 125 mL
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Q. What is the volume of 1 M HCl solution needed to obtain 0.5 moles of HCl? (2022)
A.
0.5 L
B.
1 L
C.
2 L
D.
0.25 L
Show solution
Solution
Volume = moles / molarity = 0.5 moles / 1 M = 0.5 L.
Correct Answer:
A
— 0.5 L
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Q. What is the volume of 1 mole of an ideal gas at STP? (2019) 2019
A.
22.4 L
B.
24 L
C.
1 L
D.
10 L
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Solution
At STP, 1 mole of an ideal gas occupies 22.4 liters.
Correct Answer:
A
— 22.4 L
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Q. What is the volume of a 2 M NaOH solution needed to obtain 4 moles of NaOH? (2021) 2021
A.
2 L
B.
1 L
C.
0.5 L
D.
4 L
Show solution
Solution
Volume (L) = moles / molarity = 4 moles / 2 M = 2 L.
Correct Answer:
A
— 2 L
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