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 and B invest in a business in the ratio of 3:4. If the total profit is $70,000, how much does A receive?
A.
$30,000
B.
$28,000
C.
$32,000
D.
$35,000
Show solution
Solution
Total parts = 3 + 4 = 7. A's share = (3/7) * 70000 = $30,000.
Correct Answer:
A
— $30,000
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Q. A and B invest in a business in the ratio of 4:5. If A's investment is $16,000, what is B's investment?
A.
$20,000
B.
$18,000
C.
$22,000
D.
$24,000
Show solution
Solution
If A's investment is 4 parts, then B's investment = (5/4) * 16000 = $20,000.
Correct Answer:
A
— $20,000
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Q. A and B invest in a business with A investing $10,000 and B investing $15,000. If they make a profit of $25,000, how much does A receive?
A.
$10,000
B.
$12,500
C.
$8,333
D.
$6,250
Show solution
Solution
A's share = (A's investment / Total investment) * Total profit = (10000 / 25000) * 25000 = $10,000.
Correct Answer:
B
— $12,500
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Q. A and B invest in a business with A investing $12,000 and B investing $18,000. If they make a profit of $30,000, how much does A get?
A.
$12,000
B.
$15,000
C.
$18,000
D.
$20,000
Show solution
Solution
A's share = (12000 / (12000 + 18000)) * 30000 = (12000 / 30000) * 30000 = $12,000.
Correct Answer:
B
— $15,000
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Q. A and B invest in a business with A investing $25,000 and B investing $35,000. If the total profit is $60,000, what is A's share?
A.
$25,000
B.
$30,000
C.
$35,000
D.
$40,000
Show solution
Solution
A's share = (A's investment / Total investment) * Total profit = (25000 / 60000) * 60000 = $25,000.
Correct Answer:
B
— $30,000
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Q. A and B invest in a business with A investing $30,000 and B investing $50,000. If they make a profit of $40,000, how much will B receive?
A.
$20,000
B.
$25,000
C.
$30,000
D.
$15,000
Show solution
Solution
Total investment = 30000 + 50000 = 80000. B's share = (50000/80000) * 40000 = $25,000.
Correct Answer:
B
— $25,000
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Q. A and B invest in a business with A investing $40,000 and B investing $60,000. If the total profit is $200,000, what is B's share?
A.
$80,000
B.
$100,000
C.
$120,000
D.
$140,000
Show solution
Solution
B's share = (B's investment / Total investment) * Total profit = (60000 / 100000) * 200000 = $120,000.
Correct Answer:
B
— $100,000
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Q. A and B invest in a business with A investing $8,000 and B investing $12,000. If they make a profit of $40,000, how much does B receive?
A.
$16,000
B.
$24,000
C.
$20,000
D.
$12,000
Show solution
Solution
B's share = (B's investment / Total investment) * Total profit = (12000 / 20000) * 40000 = $24,000.
Correct Answer:
B
— $24,000
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Q. A and B invest in a business with investments of $15,000 and $25,000 respectively. If they make a profit of $40,000, how much will B receive?
A.
$25,000
B.
$30,000
C.
$15,000
D.
$20,000
Show solution
Solution
Total investment = 15,000 + 25,000 = 40,000. B's share = (25,000/40,000) * 40,000 = $25,000.
Correct Answer:
B
— $30,000
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Q. A and B start a business with investments of $12,000 and $18,000 respectively. If they make a profit of $30,000, how much will A receive?
A.
$12,000
B.
$10,000
C.
$8,000
D.
$15,000
Show solution
Solution
Total investment = 12,000 + 18,000 = 30,000. A's share = (12,000/30,000) * 30,000 = $12,000.
Correct Answer:
B
— $10,000
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Q. A and B start a business with investments of $25,000 and $35,000 respectively. If they make a profit of $12,000, how much will A receive?
A.
$5,000
B.
$6,000
C.
$7,000
D.
$8,000
Show solution
Solution
Total investment = 25000 + 35000 = 60000. A's share = (25000/60000) * 12000 = $5,000.
Correct Answer:
B
— $6,000
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Q. A and B start a business with investments of $25,000 and $35,000 respectively. If they make a profit of $60,000, how much will A receive?
A.
$25,000
B.
$30,000
C.
$35,000
D.
$15,000
Show solution
Solution
Total investment = 25000 + 35000 = 60000. A's share = (25000 / 60000) * 60000 = $25,000.
Correct Answer:
B
— $30,000
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Q. A and B start a business with investments of $30,000 and $45,000 respectively. If they make a profit of $90,000, how much does A receive?
A.
$30,000
B.
$36,000
C.
$40,000
D.
$45,000
Show solution
Solution
A's share = (A's investment / Total investment) * Total profit = (30000 / 75000) * 90000 = $36,000.
Correct Answer:
B
— $36,000
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Q. A bag contains 3 red and 2 blue balls. If one ball is drawn at random, what is the probability that it is red given that it is not blue?
A.
1/2
B.
3/5
C.
2/5
D.
3/4
Show solution
Solution
The total number of balls that are not blue is 3 (red). The probability of drawing a red ball given that it is not blue is 3/5.
Correct Answer:
B
— 3/5
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Q. A bag 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 probability of drawing a red ball is 3/5.
Correct Answer:
C
— 3/5
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Q. A bag contains 3 red, 5 blue, and 2 green balls. What is the average number of balls per color?
Show solution
Solution
Total balls = 3 + 5 + 2 = 10. Average = Total balls / Number of colors = 10 / 3 = 3.33.
Correct Answer:
D
— 4
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Q. A bag contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is not black?
A.
2/5
B.
1/5
C.
1/2
D.
4/10
Show solution
Solution
Total balls = 4 + 6 = 10. Probability of not drawing a black ball = Number of white balls / Total balls = 4/10 = 2/5.
Correct Answer:
A
— 2/5
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Q. A bag contains 4 white and 6 black balls. If two balls are drawn at random, what is the probability that both are black?
A.
0.5
B.
0.24
C.
0.36
D.
0.4
Show solution
Solution
P(both black) = (6/10) * (5/9) = 30/90 = 1/3 ≈ 0.333.
Correct Answer:
B
— 0.24
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Q. A bag contains 4 white balls and 6 black balls. If one ball is drawn at random, what is the probability that it is not black?
A.
2/5
B.
3/5
C.
4/5
D.
1/5
Show solution
Solution
Total balls = 4 + 6 = 10. Probability of not drawing a black ball = Number of white balls / Total balls = 4/10 = 2/5.
Correct Answer:
C
— 4/5
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Q. A bag contains 4 white balls and 6 black balls. If one ball is drawn at random, what is the probability that it is black?
A.
2/5
B.
3/5
C.
4/5
D.
1/5
Show solution
Solution
The total number of balls is 4 + 6 = 10. The number of black balls is 6. Therefore, the probability of drawing a black ball is 6/10 = 3/5.
Correct Answer:
B
— 3/5
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Q. A bag contains 4 white, 3 black, and 5 red balls. If one ball is drawn at random, what is the probability that it is not black?
A.
1/4
B.
3/4
C.
5/12
D.
2/3
Show solution
Solution
Total balls = 4 + 3 + 5 = 12. Non-black balls = 4 + 5 = 9. Probability = Non-black balls / Total balls = 9/12 = 3/4.
Correct Answer:
B
— 3/4
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Q. A bag contains 4 white, 5 black, and 6 red balls. If one ball is drawn at random, what is the probability that it is not black?
A.
1/3
B.
2/3
C.
5/11
D.
7/11
Show solution
Solution
Total balls = 4 + 5 + 6 = 15. Non-black balls = 4 + 6 = 10. Probability = Non-black balls / Total balls = 10/15 = 2/3.
Correct Answer:
D
— 7/11
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Q. A bag contains 5 red balls and 3 blue balls. If one ball is drawn at random, what is the probability that it is blue?
A.
1/8
B.
3/8
C.
1/3
D.
3/5
Show solution
Solution
The probability of drawing a blue ball is 3/(5+3) = 3/8.
Correct Answer:
B
— 3/8
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Q. A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a red ball? (2022)
A.
3/8
B.
5/8
C.
1/2
D.
1/3
Show solution
Solution
Total balls = 5 + 3 = 8. Probability of red ball = Number of red balls / Total balls = 5/8.
Correct Answer:
B
— 5/8
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Q. A bag contains 5 red, 3 blue, and 2 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
The total number of balls is 10. The number of non-blue balls is 7 (5 red + 2 green). Thus, the probability is 7/10 = 0.7.
Correct Answer:
C
— 0.7
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Q. A bag contains red and blue balls in the ratio of 3:2. If there are 30 balls in total, how many red balls are there?
Show solution
Solution
Let red balls be 3x and blue balls be 2x. Then, 3x + 2x = 30, 5x = 30, x = 6. Therefore, red balls = 3x = 3*6 = 18.
Correct Answer:
A
— 18
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Q. A bag contains red and blue balls in the ratio of 3:5. If there are 40 blue balls, how many red balls are there?
Show solution
Solution
The ratio of red to blue balls is 3:5. If there are 40 blue balls, we can set up the proportion: 3/5 = x/40. Solving for x gives us x = 24. Therefore, there are 24 red balls.
Correct Answer:
A
— 24
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Q. A bag contains red and blue balls in the ratio of 4:5. If there are 36 red balls, how many blue balls are there?
Show solution
Solution
Let red = 4x and blue = 5x. Given 4x = 36, x = 9. Therefore, blue = 5x = 5*9 = 45.
Correct Answer:
A
— 45
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Q. A bag contains red and blue balls in the ratio of 5:3. If there are 40 red balls, how many blue balls are there?
Show solution
Solution
The ratio of red to blue balls is 5:3. If there are 40 red balls, the number of blue balls can be calculated as (3/5) * 40 = 24 blue balls.
Correct Answer:
A
— 24
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Q. A balanced diet consists of 50% carbohydrates, 30% proteins, and 20% fats. If a person consumes 2400 calories, how many calories are from carbohydrates?
A.
1000 calories
B.
1200 calories
C.
1400 calories
D.
1600 calories
Show solution
Solution
50% of 2400 calories = 0.50 * 2400 = 1200 calories.
Correct Answer:
B
— 1200 calories
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