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. How many ways can 4 people be seated in a row of 6 chairs? (2021)
A.
360
B.
720
C.
240
D.
480
Show solution
Solution
The number of ways is 6P4 = 6! / (6-4)! = 360.
Correct Answer:
A
— 360
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Q. How many ways can 4 prizes be distributed among 10 students if each student can receive at most one prize? (2019)
A.
5040
B.
720
C.
1000
D.
1200
Show solution
Solution
The number of ways to distribute 4 prizes among 10 students is 10P4 = 5040.
Correct Answer:
A
— 5040
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Q. How many ways can 4 students be selected from a group of 12? (2014)
A.
495
B.
144
C.
120
D.
220
Show solution
Solution
The number of ways to select 4 students from 12 is given by 12C4 = 495.
Correct Answer:
A
— 495
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Q. How many ways can 4 students be selected from a group of 15?
A.
1365
B.
455
C.
105
D.
210
Show solution
Solution
The number of ways to select 4 students from 15 is given by 15C4 = 1365.
Correct Answer:
A
— 1365
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Q. How many ways can 5 different books be selected from a shelf of 10?
A.
252
B.
120
C.
300
D.
200
Show solution
Solution
The number of ways to choose 5 from 10 is C(10,5) = 252.
Correct Answer:
A
— 252
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Q. How many ways can 5 different cards be chosen from a deck of 52 cards? (2019)
A.
2598960
B.
100
C.
1000
D.
500
Show solution
Solution
The number of ways to choose 5 cards from 52 is given by 52C5 = 2598960.
Correct Answer:
A
— 2598960
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Q. How many ways can 5 different colored balls be arranged in a line? (2016)
Show solution
Solution
The number of arrangements of 5 different colored balls is 5! = 120.
Correct Answer:
A
— 120
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Q. How many ways can 5 different letters be arranged if 2 letters are always together?
A.
48
B.
120
C.
240
D.
720
Show solution
Solution
Treat the 2 letters as one unit. So, we have 4 units to arrange: 4! * 2! = 48.
Correct Answer:
C
— 240
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Q. How many ways can 5 different letters be arranged if 2 letters are identical? (2017)
Show solution
Solution
The number of arrangements of 5 letters where 2 are identical is 5! / 2! = 60.
Correct Answer:
B
— 120
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Q. How many ways can 5 different letters be arranged if 2 letters must always be together?
A.
60
B.
120
C.
240
D.
720
Show solution
Solution
Treat the 2 letters as one unit. So, we have 4 units to arrange: 4! * 2! = 48.
Correct Answer:
C
— 240
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Q. How many ways can 5 people be seated in a row of 5 chairs?
Show solution
Solution
The number of arrangements of 5 people in 5 chairs is 5! = 120.
Correct Answer:
A
— 120
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Q. How many ways can 5 students be seated in a row of 8 chairs? (2016)
A.
6720
B.
120
C.
240
D.
360
Show solution
Solution
The number of ways to seat 5 students in 8 chairs is 8P5 = 6720.
Correct Answer:
A
— 6720
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Q. How many ways can 6 different books be arranged on a shelf? (2017)
A.
720
B.
600
C.
840
D.
960
Show solution
Solution
The number of arrangements of 6 different books is 6! = 720.
Correct Answer:
A
— 720
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Q. How many ways can 6 different flags be arranged on a pole? (2023)
A.
720
B.
600
C.
480
D.
360
Show solution
Solution
The number of arrangements of 6 different flags is 6! = 720.
Correct Answer:
A
— 720
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Q. How many ways can 6 different letters be arranged if 2 letters are always together?
A.
120
B.
240
C.
720
D.
1440
Show solution
Solution
Treat the 2 letters as one unit. So, we have 5 units to arrange: 5! = 120. The 2 letters can be arranged in 2! = 2 ways. Total = 120 * 2 = 240.
Correct Answer:
D
— 1440
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Q. How many ways can 6 people be seated in a row? (2017)
A.
720
B.
600
C.
480
D.
360
Show solution
Solution
The number of arrangements of 6 people in a row is 6! = 720.
Correct Answer:
A
— 720
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Q. How many ways can 6 people be selected from a group of 10? (2020)
A.
210
B.
120
C.
300
D.
150
Show solution
Solution
The number of ways to select 6 from 10 is C(10, 6) = 210.
Correct Answer:
A
— 210
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Q. How many ways can 7 different books be arranged on a shelf if 3 specific books must be together?
A.
720
B.
120
C.
5040
D.
840
Show solution
Solution
Treat the 3 specific books as one unit. So, we have 5 units to arrange: 5! * 3! = 360.
Correct Answer:
C
— 5040
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Q. How many ways can 8 different books be arranged on a shelf if 3 specific books must be together?
A.
720
B.
5040
C.
40320
D.
2880
Show solution
Solution
Treat the 3 specific books as one unit. So, we have 6 units to arrange: 6! = 720. The 3 books can be arranged in 3! = 6 ways. Total = 720 * 6 = 4320.
Correct Answer:
B
— 5040
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Q. How many ways can 8 different colored balls be arranged in a line?
A.
40320
B.
720
C.
1000
D.
100
Show solution
Solution
The number of arrangements is 8! = 40320.
Correct Answer:
A
— 40320
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Q. How many ways can a committee of 3 be formed from 7 people? (2021)
Show solution
Solution
The number of ways to form a committee of 3 from 7 is given by 7C3 = 35.
Correct Answer:
B
— 35
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Q. How many ways can a committee of 4 be formed from 10 people? (2019)
A.
210
B.
120
C.
100
D.
30
Show solution
Solution
The number of ways to form a committee of 4 from 10 is given by 10C4 = 210.
Correct Answer:
A
— 210
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Q. How many ways can a committee of 4 be formed from 8 people? (2019)
Show solution
Solution
The number of ways to form a committee of 4 from 8 is 8C4 = 70.
Correct Answer:
A
— 70
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Q. How much heat is required to raise the temperature of 250 g of water from 25°C to 75°C? (Specific heat of water = 4.2 J/g°C) (2020)
A.
5250 J
B.
4200 J
C.
2500 J
D.
1000 J
Show solution
Solution
Heat required = mass × specific heat × change in temperature = 250 g × 4.2 J/g°C × (75°C - 25°C) = 5250 J.
Correct Answer:
A
— 5250 J
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Q. How much heat is required to raise the temperature of 500 g of water from 25°C to 75°C? (2020)
A.
10000 J
B.
5000 J
C.
20000 J
D.
15000 J
Show solution
Solution
Q = mcΔT = 500 g * 4.2 J/g°C * (75 - 25)°C = 10000 J.
Correct Answer:
D
— 15000 J
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Q. How much work is done when a force of 10 N moves an object 5 m in the direction of the force?
A.
25 J
B.
50 J
C.
75 J
D.
100 J
Show solution
Solution
Work = Force * Distance = 10 N * 5 m = 50 J.
Correct Answer:
B
— 50 J
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Q. How much work is done when a force of 15 N moves an object 3 m in the direction of the force?
A.
45 J
B.
30 J
C.
15 J
D.
60 J
Show solution
Solution
Work done = Force × Distance = 15 N × 3 m = 45 J
Correct Answer:
A
— 45 J
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Q. How much work is done when a force of 30 N moves an object 4 m in the direction of the force?
A.
120 J
B.
90 J
C.
60 J
D.
30 J
Show solution
Solution
Work = Force * Distance = 30 N * 4 m = 120 J.
Correct Answer:
A
— 120 J
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Q. Identify the oxidizing agent in the reaction: 2H2 + O2 → 2H2O. (2023)
A.
H2
B.
O2
C.
H2O
D.
None of the above
Show solution
Solution
O2 is the oxidizing agent as it gains electrons and is reduced to H2O.
Correct Answer:
B
— O2
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Q. If 0.1 M acetic acid (CH3COOH) is 1% ionized, what is the concentration of H+ ions?
A.
0.001 M
B.
0.01 M
C.
0.1 M
D.
0.2 M
Show solution
Solution
Ionization = 1% of 0.1 M = 0.001 M, so [H+] = 0.001 M.
Correct Answer:
B
— 0.01 M
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