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. If the circumference of a circle is 31.4 cm, what is the radius? (2020) 2020
A.
5 cm
B.
10 cm
C.
15 cm
D.
20 cm
Show solution
Solution
Circumference = 2πr. Therefore, r = Circumference / (2π) = 31.4 cm / (2 * 3.14) = 5 cm.
Correct Answer:
A
— 5 cm
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Q. If the concentration of a reactant is increased in a system at equilibrium, what will happen according to Le Chatelier's principle?
A.
The equilibrium will shift to the right.
B.
The equilibrium will shift to the left.
C.
The equilibrium will not change.
D.
The reaction will stop.
Show solution
Solution
According to Le Chatelier's principle, if a change is made to a system at equilibrium, the system will adjust to counteract that change. Increasing the concentration of a reactant will shift the equilibrium to the right, favoring the formation of products.
Correct Answer:
A
— The equilibrium will shift to the right.
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Q. If the concentration of a reactant is tripled in a second-order reaction, how does the rate change? (2023)
A.
Increases by 3 times
B.
Increases by 6 times
C.
Increases by 9 times
D.
Increases by 12 times
Show solution
Solution
For a second-order reaction, if concentration is tripled, the rate increases by 3² = 9 times.
Correct Answer:
C
— Increases by 9 times
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Q. If the concentration of Cu²⁺ in a cell is increased, what happens to the cell potential?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
Increasing the concentration of Cu²⁺ increases the cell potential according to the Nernst equation.
Correct Answer:
A
— Increases
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Q. If the coordinates of a point P are (1, -1, 2), what is the x-coordinate of the point Q if it is reflected across the yz-plane? (2023)
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Solution
Reflection across the yz-plane changes the sign of the x-coordinate. So, Q = (-1, -1, 2).
Correct Answer:
B
— -1
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Q. If the coordinates of point A are (1, 2) and point B are (4, 6), what is the length of AB? (2023)
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Solution
Length AB = √[(4-1)² + (6-2)²] = √[9 + 16] = √25 = 5.
Correct Answer:
A
— 5
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Q. If the coordinates of point C are (5, 5) and point D are (1, 1), what is the slope of CD? (2021)
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Solution
Slope = (5-1)/(5-1) = 4/4 = 1
Correct Answer:
A
— 1
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Q. If the coordinates of point C are (5, 5) and point D are (5, 10), what is the distance CD? (2021)
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Solution
Distance CD = |10 - 5| = 5.
Correct Answer:
A
— 5
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Q. If the coordinates of point C are (5, 5) and point D are (5, 10), what is the length of CD? (2021)
Show solution
Solution
Length CD = |10 - 5| = 5.
Correct Answer:
A
— 5
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Q. If the coordinates of point C are (5, 5) and the slope of line AC is 1, what is the equation of line AC? (2021)
A.
y = x
B.
y = 5
C.
y = x + 5
D.
y = x - 5
Show solution
Solution
Using point-slope form: y - 5 = 1(x - 5) => y = x
Correct Answer:
A
— y = x
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Q. If the coordinates of point C are (5, 5) and the slope of the line is 1, what is the equation of the line? (2021) 2021
A.
y = x
B.
y = 5
C.
y = 2x - 5
D.
y = x + 5
Show solution
Solution
Using point-slope form: y - 5 = 1(x - 5) => y = x.
Correct Answer:
A
— y = x
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Q. If the cost function is C(x) = 3x^2 + 12x + 5, find the minimum cost. (2020)
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Solution
The minimum cost occurs at x = -b/(2a) = -12/(2*3) = -2. C(-2) = 3(-2)^2 + 12(-2) + 5 = 8.
Correct Answer:
B
— 8
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Q. If the cost function is C(x) = 3x^2 + 12x + 5, find the minimum cost. (2020) 2020
Show solution
Solution
The minimum cost occurs at x = -b/(2a) = -12/(2*3) = -2. C(-2) = 3(-2)^2 + 12(-2) + 5 = 8.
Correct Answer:
B
— 8
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Q. If the cost function is C(x) = 5x^2 + 20x + 100, find the minimum cost. (2020)
A.
100
B.
120
C.
140
D.
160
Show solution
Solution
The minimum cost occurs at x = -b/(2a) = -20/(2*5) = -2. C(-2) = 5(-2)^2 + 20(-2) + 100 = 120.
Correct Answer:
B
— 120
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Q. If the current in an AC circuit is given by I(t) = I0 cos(ωt), what is the RMS current? (2023)
A.
I0/√2
B.
I0
C.
2I0
D.
I0/2
Show solution
Solution
RMS current I_rms = I0/√2 for a cosine function.
Correct Answer:
A
— I0/√2
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Q. If the current in an AC circuit is I(t) = 5√2 sin(100t + π/4), what is the RMS current? (2021)
A.
5 A
B.
2.5 A
C.
7.07 A
D.
3.54 A
Show solution
Solution
The RMS current is I_rms = I_peak / √2 = 5√2 / √2 = 5 A.
Correct Answer:
B
— 2.5 A
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Q. If the current through a resistor is tripled, what happens to the power dissipated in the resistor? (2022)
A.
Increases by 3 times
B.
Increases by 9 times
C.
Remains the same
D.
Decreases by 3 times
Show solution
Solution
Power is proportional to the square of the current (P = I²R). If I is tripled, P increases by 3² = 9 times.
Correct Answer:
B
— Increases by 9 times
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Q. If the diameter of a circle is 20 cm, what is its circumference? (2022)
A.
62.83 cm
B.
31.42 cm
C.
20 cm
D.
40 cm
Show solution
Solution
Circumference = πd; C = π * 20 ≈ 62.83 cm.
Correct Answer:
A
— 62.83 cm
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Q. If the electric field at a point is 1000 N/C and the charge at that point is 5 µC, what is the force experienced by the charge?
A.
0.005 N
B.
0.05 N
C.
0.5 N
D.
5 N
Show solution
Solution
F = E * q = 1000 N/C * 5 × 10^-6 C = 0.005 N.
Correct Answer:
B
— 0.05 N
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Q. If the first term of a geometric series is 4 and the common ratio is 2, what is the 7th term?
A.
128
B.
256
C.
512
D.
1024
Show solution
Solution
The nth term of a geometric series is given by a_n = ar^(n-1). Here, a = 4, r = 2, n = 7. So, a_7 = 4 * 2^(7-1) = 4 * 64 = 256.
Correct Answer:
B
— 256
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Q. If the first term of an arithmetic series is 12 and the last term is 48, what is the common difference if there are 10 terms?
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Solution
In an arithmetic series, the last term can be expressed as a + (n-1)d. Here, 48 = 12 + (10-1)d. Thus, 48 - 12 = 9d, giving d = 4.
Correct Answer:
A
— 4
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Q. If the frequency of a vibrating tuning fork is 440 Hz, what is the time period of the vibration? (2023)
A.
0.00227 s
B.
0.005 s
C.
0.01 s
D.
0.0227 s
Show solution
Solution
The time period T is the reciprocal of frequency f, T = 1/f. Therefore, T = 1/440 ≈ 0.00227 s.
Correct Answer:
A
— 0.00227 s
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Q. If the frequency of a wave is doubled, what happens to its wavelength, assuming the speed remains constant? (2021)
A.
Doubles
B.
Halves
C.
Remains the same
D.
Quadruples
Show solution
Solution
Wavelength (λ) is inversely proportional to frequency (f) when speed (v) is constant: λ = v/f. If f is doubled, λ is halved.
Correct Answer:
B
— Halves
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Q. If the frequency of a wave is halved, what happens to its wavelength? (2015)
A.
Halves
B.
Doubles
C.
Remains the same
D.
Increases by four times
Show solution
Solution
Wavelength is inversely proportional to frequency. If frequency is halved, wavelength doubles.
Correct Answer:
B
— Doubles
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Q. If the frequency of an AC source is doubled, how does the inductive reactance change? (2020)
A.
Doubles
B.
Halves
C.
Remains the same
D.
Quadruples
Show solution
Solution
Xl = 2πfL; if f is doubled, Xl also doubles.
Correct Answer:
B
— Halves
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Q. If the frequency of an AC source is doubled, what happens to the inductive reactance? (2014)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
Inductive reactance XL = 2πfL, so if frequency f is doubled, XL halves.
Correct Answer:
B
— It halves
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Q. If the frequency of an AC source is doubled, what happens to the inductive reactance of an inductor? (2021)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
Inductive reactance Xl = ωL, so if frequency is doubled, Xl halves.
Correct Answer:
B
— It halves
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Q. If the frequency of an AC source is doubled, what happens to the reactance of a capacitor? (2023)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
The capacitive reactance Xc = 1/(2πfC) halves when the frequency f is doubled.
Correct Answer:
B
— It halves
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Q. If the frequency of an AC source is doubled, what happens to the reactance of an inductor? (2023)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
The reactance of an inductor is given by XL = ωL. If frequency is doubled, reactance also doubles.
Correct Answer:
A
— It doubles
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Q. If the gravitational force between two objects is 20 N and the distance between them is doubled, what will be the new force?
A.
5 N
B.
10 N
C.
20 N
D.
40 N
Show solution
Solution
F is inversely proportional to r². If r is doubled, F becomes F/4 = 20 N / 4 = 5 N.
Correct Answer:
A
— 5 N
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