Undergraduate MCQ & Objective Questions
The undergraduate level is a crucial phase in a student's academic journey, especially for those preparing for school and competitive exams. Mastering this stage can significantly enhance your understanding and retention of key concepts. Practicing MCQs and objective questions is essential, as it not only helps in reinforcing knowledge but also boosts your confidence in tackling important questions during exams.
What You Will Practise Here
Fundamental concepts in Mathematics and Science
Key definitions and theories across various subjects
Important formulas and their applications
Diagrams and graphical representations
Critical thinking and problem-solving techniques
Subject-specific MCQs designed for competitive exams
Revision of essential topics for better retention
Exam Relevance
Undergraduate topics are integral to various examinations such as CBSE, State Boards, NEET, and JEE. These subjects often feature a mix of conceptual and application-based questions. Common patterns include multiple-choice questions that assess both theoretical knowledge and practical application, making it vital for students to be well-versed in undergraduate concepts.
Common Mistakes Students Make
Overlooking the importance of understanding concepts rather than rote memorization
Misinterpreting questions due to lack of careful reading
Neglecting to practice numerical problems that require application of formulas
Failing to review mistakes made in previous practice tests
FAQs
Question: What are some effective strategies for solving undergraduate MCQ questions?Answer: Focus on understanding the concepts, practice regularly, and review your answers to learn from mistakes.
Question: How can I improve my speed in answering objective questions?Answer: Time yourself while practicing and gradually increase the number of questions you attempt in a set time.
Start your journey towards mastering undergraduate subjects today! Solve practice MCQs and test your understanding to ensure you are well-prepared for your exams. Your success is just a question away!
Q. In how many ways can 3 different letters be chosen from the word 'COMPUTE'? (2019)
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Solution
The number of ways to choose 3 letters from 8 is C(8, 3) = 56.
Correct Answer:
C
— 70
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Q. In how many ways can 3 different trophies be arranged on a shelf?
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Solution
The number of arrangements is 3! = 6.
Correct Answer:
A
— 6
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Q. In how many ways can 3 prizes be awarded to 10 students?
A.
720
B.
1000
C.
120
D.
100
Show solution
Solution
The number of ways to award 3 prizes to 10 students is 10P3 = 10! / (10-3)! = 720.
Correct Answer:
A
— 720
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Q. In how many ways can 3 prizes be awarded to 5 students? (2021)
A.
60
B.
100
C.
120
D.
80
Show solution
Solution
The number of ways to award 3 prizes to 5 students is 5P3 = 60.
Correct Answer:
C
— 120
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Q. In how many ways can 3 prizes be distributed among 5 students? (2021)
A.
60
B.
100
C.
120
D.
80
Show solution
Solution
The number of ways to distribute 3 prizes to 5 students is 5P3 = 60.
Correct Answer:
C
— 120
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Q. In how many ways can 3 students be chosen from a group of 8? (2015)
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Solution
The number of ways to choose 3 students from 8 is 8C3 = 56.
Correct Answer:
A
— 56
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Q. In how many ways can 4 different flags be arranged on a pole? (2015)
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Solution
The number of arrangements of 4 distinct flags is 4! = 24.
Correct Answer:
A
— 24
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Q. In how many ways can 4 different fruits be selected from 10 fruits?
A.
210
B.
120
C.
240
D.
300
Show solution
Solution
The number of ways to choose 4 fruits from 10 is C(10, 4) = 210.
Correct Answer:
A
— 210
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Q. In how many ways can 4 different letters be arranged?
Show solution
Solution
The number of arrangements is 4! = 24.
Correct Answer:
A
— 24
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Q. In how many ways can 4 different prizes be distributed among 10 students? (2023)
A.
5040
B.
10000
C.
2400
D.
120
Show solution
Solution
The number of ways to distribute 4 different prizes among 10 students is 10P4 = 5040.
Correct Answer:
A
— 5040
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Q. In how many ways can 4 prizes be distributed among 10 students?
A.
210
B.
5040
C.
10000
D.
1001
Show solution
Solution
The number of ways to distribute 4 prizes among 10 students is 10P4 = 5040.
Correct Answer:
B
— 5040
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Q. In how many ways can 4 students be seated in a row of 6 chairs? (2021)
A.
360
B.
720
C.
120
D.
240
Show solution
Solution
Choose 4 chairs from 6 (6C4) and arrange 4 students (4!). Total = 15 * 24 = 360.
Correct Answer:
B
— 720
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Q. In how many ways can 5 different books be arranged on a shelf? (2021)
A.
60
B.
120
C.
240
D.
720
Show solution
Solution
The number of arrangements of 5 distinct books is 5! = 120.
Correct Answer:
D
— 720
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Q. In how many ways can 5 different colored balls be arranged in a line?
A.
60
B.
120
C.
240
D.
720
Show solution
Solution
The number of ways to arrange 5 different colored balls is 5! = 120.
Correct Answer:
D
— 720
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Q. In how many ways can 5 different colored balls be arranged in a row? (2021)
A.
120
B.
60
C.
100
D.
80
Show solution
Solution
The number of arrangements of 5 different colored balls is 5! = 120.
Correct Answer:
A
— 120
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Q. In how many ways can 5 different fruits be arranged in a row?
Show solution
Solution
The number of arrangements of 5 different fruits is 5! = 120.
Correct Answer:
B
— 120
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Q. In how many ways can 5 different letters be arranged if 2 letters are always together? (2019)
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Solution
Treat the 2 letters as one unit. So, we have 4 units to arrange: 4! * 2! = 48.
Correct Answer:
B
— 60
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Q. In how many ways can 6 different books be arranged on a shelf?
A.
720
B.
600
C.
360
D.
480
Show solution
Solution
The number of arrangements of 6 different books is 6! = 720.
Correct Answer:
A
— 720
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Q. In how many ways can 6 different colored balls be arranged in a line?
A.
720
B.
120
C.
60
D.
30
Show solution
Solution
The number of arrangements of 6 different colored balls is 6! = 720.
Correct Answer:
A
— 720
Learn More →
Q. In how many ways can 6 different colored balls be arranged in a row? (2018)
A.
720
B.
600
C.
480
D.
360
Show solution
Solution
The number of arrangements of 6 distinct balls is 6! = 720.
Correct Answer:
A
— 720
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Q. In how many ways can 6 different flags be arranged on a pole?
A.
720
B.
600
C.
480
D.
540
Show solution
Solution
The number of arrangements is 6! = 720.
Correct Answer:
A
— 720
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Q. In how many ways can 6 people be seated in a row?
A.
720
B.
600
C.
480
D.
360
Show solution
Solution
The number of arrangements of 6 people is 6! = 720.
Correct Answer:
A
— 720
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Q. In how many ways can 7 people be divided into 3 groups if one group must have 3 people?
A.
210
B.
300
C.
420
D.
560
Show solution
Solution
Choose 3 people from 7: C(7, 3) = 35. The remaining 4 can be divided into 2 groups in 2 ways. Total = 35 * 2 = 70.
Correct Answer:
B
— 300
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Q. In how many ways can the letters of the word 'BOOK' be arranged? (2022)
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Solution
The word 'BOOK' has 4 letters with 'O' repeating. The number of arrangements is 4! / 2! = 12.
Correct Answer:
C
— 16
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Q. In humans, the allele for brown eyes (B) is dominant over the allele for blue eyes (b). What is the genotype of a person with blue eyes? (2019)
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Solution
A person with blue eyes must have the genotype bb, as blue is recessive.
Correct Answer:
C
— bb
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Q. In measurements, what does precision refer to? (2022)
A.
Closeness to the true value
B.
Consistency of repeated measurements
C.
Range of values
D.
Average of measurements
Show solution
Solution
Precision refers to the consistency of repeated measurements, regardless of their accuracy.
Correct Answer:
B
— Consistency of repeated measurements
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Q. In measurements, what does the term 'precision' refer to? (2022)
A.
Closeness to the true value
B.
Consistency of repeated measurements
C.
Range of values
D.
Average of measurements
Show solution
Solution
Precision refers to the consistency of repeated measurements, regardless of their accuracy.
Correct Answer:
B
— Consistency of repeated measurements
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Q. In Mendel's experiments, which trait was observed to be dominant in pea plants? (2018)
A.
Green seed color
B.
Yellow seed color
C.
Wrinkled seeds
D.
Short plants
Show solution
Solution
In Mendel's experiments, yellow seed color was observed to be the dominant trait in pea plants.
Correct Answer:
B
— Yellow seed color
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Q. In Mendel's experiments, which trait was observed to be dominant over the other? (2018)
A.
Green seed color
B.
Yellow seed color
C.
Round seed shape
D.
Wrinkled seed shape
Show solution
Solution
In Mendel's experiments, yellow seed color was observed to be dominant over green seed color.
Correct Answer:
B
— Yellow seed color
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Q. In nuclear fission, the mass of the products is less than the mass of the reactants. What is this mass difference converted into? (2019)
A.
Kinetic energy
B.
Potential energy
C.
Binding energy
D.
Radiation
Show solution
Solution
The mass difference in nuclear fission is converted into kinetic energy of the fission fragments, according to Einstein's equation E=mc².
Correct Answer:
A
— Kinetic energy
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