Major Competitive Exams MCQ & Objective Questions
Major Competitive Exams play a crucial role in shaping the academic and professional futures of students in India. These exams not only assess knowledge but also test problem-solving skills and time management. Practicing MCQs and objective questions is essential for scoring better, as they help in familiarizing students with the exam format and identifying important questions that frequently appear in tests.
What You Will Practise Here
Key concepts and theories related to major subjects
Important formulas and their applications
Definitions of critical terms and terminologies
Diagrams and illustrations to enhance understanding
Practice questions that mirror actual exam patterns
Strategies for solving objective questions efficiently
Time management techniques for competitive exams
Exam Relevance
The topics covered under Major Competitive Exams are integral to various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter a mix of conceptual and application-based questions that require a solid understanding of the subjects. Common question patterns include multiple-choice questions that test both knowledge and analytical skills, making it essential to be well-prepared with practice MCQs.
Common Mistakes Students Make
Rushing through questions without reading them carefully
Overlooking the negative marking scheme in MCQs
Confusing similar concepts or terms
Neglecting to review previous years’ question papers
Failing to manage time effectively during the exam
FAQs
Question: How can I improve my performance in Major Competitive Exams?Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.
Question: What types of questions should I focus on for these exams?Answer: Concentrate on important Major Competitive Exams questions that frequently appear in past papers and mock tests.
Question: Are there specific strategies for tackling objective questions?Answer: Yes, practicing under timed conditions and reviewing mistakes can help develop effective strategies.
Start your journey towards success by solving practice MCQs today! Test your understanding and build confidence for your upcoming exams. Remember, consistent practice is the key to mastering Major Competitive Exams!
Q. A bottle contains 1 liter of a solution that is 30% salt. How much salt is in the solution? (2022)
A.
100 g
B.
200 g
C.
300 g
D.
400 g
Show solution
Solution
Amount of salt = 30% of 1 liter = 0.3 liters = 300 g (since 1 liter of water is approximately 1000 g).
Correct Answer:
C
— 300 g
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Q. A box contains 10 balls numbered from 1 to 10. What is the probability of drawing a ball with an even number?
A.
1/2
B.
1/5
C.
1/10
D.
3/10
Show solution
Solution
Even numbers in the box are 2, 4, 6, 8, 10 (5 even numbers). Total balls = 10. Probability = 5/10 = 1/2.
Correct Answer:
A
— 1/2
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Q. A box contains 10 balls, 4 of which are red and 6 are blue. If one ball is drawn at random, what is the probability that it is not blue?
A.
2/5
B.
3/5
C.
4/10
D.
1/5
Show solution
Solution
The probability of not drawing a blue ball = Number of red balls / Total balls = 4/10 = 2/5.
Correct Answer:
A
— 2/5
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Q. A box contains 10 balls, 4 of which are red and 6 are blue. If one ball is drawn, what is the probability that it is blue?
A.
2/5
B.
3/5
C.
4/10
D.
6/10
Show solution
Solution
The probability of drawing a blue ball is 6/10 = 3/5.
Correct Answer:
B
— 3/5
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Q. A box contains 10 balls, 4 of which are red. If one ball is drawn at random, what is the probability that it is red? (2020)
A.
2/5
B.
1/2
C.
4/10
D.
3/10
Show solution
Solution
Probability of drawing a red ball = Number of red balls / Total balls = 4/10 = 2/5.
Correct Answer:
B
— 1/2
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Q. A box contains 10 balls, 4 of which are white and the rest are black. If one ball is drawn at random, what is the probability that it is not white?
A.
2/5
B.
3/5
C.
4/5
D.
1/5
Show solution
Solution
The total number of balls is 10. The number of non-white balls is 10 - 4 = 6. Thus, the probability of drawing a non-white ball is 6/10 = 3/5.
Correct Answer:
B
— 3/5
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Q. A box contains 10 balls, 4 of which are white and the rest are black. If one ball is drawn at random, what is the probability that it is not black?
A.
1/5
B.
2/5
C.
3/5
D.
4/5
Show solution
Solution
Total balls = 10. Non-black balls = 4 (white). Probability = 4/10 = 2/5.
Correct Answer:
D
— 4/5
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Q. A box contains 10 balls, 4 of which are white. If one ball is drawn at random, what is the probability that it is not white? (2022)
A.
2/5
B.
3/5
C.
1/2
D.
1/4
Show solution
Solution
Number of non-white balls = 10 - 4 = 6. Probability = 6/10 = 3/5.
Correct Answer:
B
— 3/5
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Q. A box contains 10 balls, 4 red and 6 green. If one ball is drawn at random, what is the probability that it is green given that it is not red?
A.
1/2
B.
3/5
C.
2/5
D.
4/5
Show solution
Solution
If the ball is not red, it must be green. Therefore, P(Green | Not Red) = 1.
Correct Answer:
B
— 3/5
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Q. A box contains 10 balls, of which 4 are red and 6 are blue. If one ball is drawn, what is the probability that it is not red?
A.
2/5
B.
3/5
C.
4/5
D.
1/5
Show solution
Solution
Probability of not red = Number of non-red balls / Total balls = 6/10 = 3/5.
Correct Answer:
B
— 3/5
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Q. A box contains 10 balls, of which 4 are white and 6 are black. If one ball is drawn, what is the probability that it is black?
A.
3/5
B.
2/5
C.
1/2
D.
1/10
Show solution
Solution
Probability = Number of black balls / Total balls = 6/10 = 3/5.
Correct Answer:
A
— 3/5
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Q. A box contains 10 balls, of which 4 are white and 6 are black. If one ball is drawn at random, what is the probability that it is white?
A.
2/5
B.
3/5
C.
4/10
D.
1/2
Show solution
Solution
Probability of white = Number of white balls / Total balls = 4/10 = 2/5.
Correct Answer:
C
— 4/10
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Q. A box contains 10 balls, of which 4 are white and 6 are black. If one ball is drawn at random, what is the probability that it is black?
A.
3/5
B.
2/5
C.
1/2
D.
6/10
Show solution
Solution
Probability of drawing a black ball = Number of black balls / Total balls = 6/10 = 3/5.
Correct Answer:
A
— 3/5
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Q. A box contains 10 light bulbs, of which 3 are defective. If one bulb is selected at random, what is the probability that it is not defective?
A.
3/10
B.
7/10
C.
1/2
D.
1/3
Show solution
Solution
Total bulbs = 10, Non-defective bulbs = 10 - 3 = 7. Probability = Non-defective bulbs / Total bulbs = 7/10.
Correct Answer:
B
— 7/10
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Q. A box contains 12 red balls and 8 blue balls. What fraction of the balls are red?
A.
2/5
B.
3/5
C.
4/5
D.
5/5
Show solution
Solution
Total balls = 12 + 8 = 20. Fraction of red balls = 12/20 = 3/5.
Correct Answer:
B
— 3/5
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Q. A box contains 3 red balls and 2 blue balls. If one ball is drawn at random, what is the probability that it is red?
A.
1/5
B.
2/5
C.
3/5
D.
4/5
Show solution
Solution
The total number of balls is 3 + 2 = 5. The number of red balls is 3. Therefore, the probability of drawing a red ball is 3/5.
Correct Answer:
C
— 3/5
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Q. A box contains 3 red balls and 2 blue balls. In how many ways can 2 balls be selected from the box?
Show solution
Solution
The number of ways to choose 2 balls from 5 is 5C2 = 10.
Correct Answer:
B
— 6
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Q. A box contains 3 red balls and 2 blue balls. What is the probability of picking a red ball? (2023)
A.
0.6
B.
0.5
C.
0.4
D.
0.3
Show solution
Solution
Probability = Number of favorable outcomes / Total outcomes = 3/(3+2) = 3/5 = 0.6.
Correct Answer:
A
— 0.6
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Q. A box contains 3 red balls and 5 blue balls. If one ball is drawn at random, what is the probability that it is red? (2019)
A.
3/8
B.
5/8
C.
1/2
D.
1/4
Show solution
Solution
Total balls = 3 + 5 = 8. Probability of red = 3/8.
Correct Answer:
A
— 3/8
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Q. A box contains 3 red balls and 5 blue balls. What is the probability of drawing a red ball? (2019)
A.
3/8
B.
5/8
C.
1/2
D.
1/4
Show solution
Solution
Total balls = 3 + 5 = 8. Probability of red ball = 3/8.
Correct Answer:
A
— 3/8
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Q. A box contains 3 red balls and 5 blue balls. What is the probability of picking a red ball?
A.
3/8
B.
5/8
C.
1/2
D.
1/3
Show solution
Solution
Total balls = 3 + 5 = 8. Probability of red ball = 3/8.
Correct Answer:
A
— 3/8
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Q. A box contains 3 red balls, 2 blue balls, and 5 green balls. If one ball is drawn at random, what is the probability that it is not blue?
A.
0.5
B.
0.6
C.
0.7
D.
0.8
Show solution
Solution
Total balls = 3 + 2 + 5 = 10. Non-blue balls = 3 + 5 = 8. Probability = Non-blue balls / Total balls = 8/10 = 0.8.
Correct Answer:
C
— 0.7
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Q. A box contains 3 red, 2 blue, and 5 green balls. If one ball is drawn at random, what is the probability that it is either red or blue?
A.
0.5
B.
0.25
C.
0.625
D.
0.75
Show solution
Solution
Total balls = 3 + 2 + 5 = 10. Probability of red or blue = (3 + 2) / 10 = 5 / 10 = 0.5.
Correct Answer:
C
— 0.625
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Q. A box contains 3 red, 5 blue, and 2 green balls. If one ball is drawn at random, what is the probability that it is blue?
A.
1/10
B.
1/5
C.
1/2
D.
1/3
Show solution
Solution
Total balls = 3 + 5 + 2 = 10. Probability of drawing a blue ball = Number of blue balls / Total balls = 5/10 = 1/2.
Correct Answer:
B
— 1/5
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Q. A box contains 3 red, 5 blue, and 2 green balls. What is the probability of drawing a blue ball? (2021)
A.
1/2
B.
5/10
C.
1/5
D.
1/3
Show solution
Solution
Total balls = 3 + 5 + 2 = 10. Probability of blue = Number of blue balls / Total balls = 5/10 = 1/2.
Correct Answer:
A
— 1/2
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Q. A box contains 36 red balls and 48 blue balls. What is the maximum number of equal groups that can be formed with the balls? (2023)
Show solution
Solution
The HCF of 36 and 48 is 12. Therefore, the maximum number of equal groups is 12.
Correct Answer:
B
— 12
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Q. A box contains 4 red, 3 green, and 2 blue balls. If a ball is drawn and it is green, what is the probability that the next ball drawn is red?
A.
4/9
B.
2/9
C.
1/3
D.
1/4
Show solution
Solution
After drawing a green ball, there are 4 red, 2 green, and 2 blue balls left. The probability of drawing a red ball next is 4/8 = 1/2.
Correct Answer:
A
— 4/9
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Q. A box contains 4 red, 3 green, and 2 blue marbles. If a marble is drawn and it is green, what is the probability that the next marble drawn is red?
A.
0.4
B.
0.5
C.
0.6
D.
0.3
Show solution
Solution
After drawing a green marble, there are 4 red, 2 green, and 2 blue marbles left. The probability of drawing a red marble next is 4/(4+2+2) = 4/8 = 0.5.
Correct Answer:
A
— 0.4
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Q. A box contains 4 red, 3 green, and 5 blue balls. If a ball is drawn and it is blue, what is the probability that the next ball drawn is red?
A.
4/11
B.
3/11
C.
5/11
D.
1/3
Show solution
Solution
After drawing a blue ball, there are 4 red, 3 green, and 4 blue left. The probability of drawing a red ball next is 4/11.
Correct Answer:
A
— 4/11
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Q. A box contains 4 white and 6 black balls. If one ball is drawn and it is black, what is the probability that the next ball drawn is also black?
A.
1/2
B.
1/3
C.
1/5
D.
2/5
Show solution
Solution
After drawing one black ball, there are 5 black and 4 white balls left. The probability of drawing another black ball is 5/9.
Correct Answer:
D
— 2/5
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