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
Learn More →
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
Learn More →
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
Learn More →
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
Learn More →
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
Learn More →
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
Learn More →
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
Learn More →
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
Learn More →
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
Learn More →
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
Learn More →
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
Learn More →
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
Learn More →
Showing 751 to 780 of 2530 (85 Pages)
MHT-CET MCQ & Objective Questions
The MHT-CET exam is a crucial stepping stone for students aspiring to pursue engineering and pharmacy courses in Maharashtra. Mastering the MHT-CET MCQ format is essential, as it not only tests your knowledge but also enhances your exam preparation strategy. Practicing objective questions helps in identifying important concepts and improves your chances of scoring better in this competitive exam.
What You Will Practise Here
Fundamental concepts in Physics, Chemistry, and Mathematics
Key formulas and their applications in problem-solving
Important definitions and terminologies relevant to MHT-CET
Diagrams and illustrations for better conceptual understanding
Practice questions that mirror the exam pattern
Analysis of previous years' MHT-CET questions
Techniques for tackling tricky MCQs effectively
Exam Relevance
The MHT-CET exam is aligned with the syllabus of CBSE, State Boards, and is also relevant for students preparing for NEET and JEE. Many concepts from the MHT-CET syllabus appear in these competitive exams, often in the form of application-based questions or conceptual MCQs. Understanding the common question patterns can significantly enhance your preparation and performance.
Common Mistakes Students Make
Misinterpreting questions due to lack of clarity in reading
Neglecting to review fundamental concepts before attempting MCQs
Overlooking units and dimensions in Physics and Chemistry problems
Rushing through practice questions without thorough understanding
Failing to manage time effectively during the exam
FAQs
Question: What are the best resources for MHT-CET MCQ questions?Answer: Utilizing online platforms like SoulShift, which offer a variety of practice questions and mock tests, can be very beneficial.
Question: How can I improve my speed in solving MHT-CET objective questions?Answer: Regular practice and timed mock tests can help enhance your speed and accuracy in solving MCQs.
Start your journey towards success by solving MHT-CET practice MCQs today! Test your understanding and build your confidence for the exam ahead.
