Quantitative Aptitude (CAT) MCQ & Objective Questions
Quantitative Aptitude is a crucial component of various competitive exams, including the CAT. Mastering this subject not only enhances your mathematical skills but also boosts your confidence during exams. Practicing MCQs and objective questions is essential for effective exam preparation, as it helps identify important questions and strengthens your grasp of key concepts.
What You Will Practise Here
Number Systems and Properties
Percentage, Profit and Loss
Ratio and Proportion
Time, Speed, and Distance
Averages and Mixtures
Algebraic Expressions and Equations
Data Interpretation and Analysis
Exam Relevance
Quantitative Aptitude is a significant topic in various examinations, including CBSE, State Boards, NEET, and JEE. In these exams, you can expect questions that test your understanding of basic concepts, application of formulas, and problem-solving skills. Common question patterns include multiple-choice questions that require quick calculations and logical reasoning.
Common Mistakes Students Make
Misunderstanding the question requirements, leading to incorrect answers.
Overlooking units of measurement in word problems.
Not applying the correct formulas for different types of problems.
Rushing through calculations, resulting in simple arithmetic errors.
Failing to interpret data correctly in graphs and tables.
FAQs
Question: What are the best ways to prepare for Quantitative Aptitude in exams?Answer: Regular practice with MCQs, understanding key concepts, and reviewing mistakes can significantly improve your performance.
Question: How can I improve my speed in solving Quantitative Aptitude questions?Answer: Practice timed quizzes and focus on shortcuts and tricks to solve problems quickly.
Start solving practice MCQs today to test your understanding of Quantitative Aptitude and enhance your exam readiness. Remember, consistent practice is the key to success!
Q. A and B are mixed in the ratio 1:4. If the total volume of the mixture is 100 liters, how many liters of liquid A are there?
A.
20 liters
B.
25 liters
C.
30 liters
D.
40 liters
Show solution
Solution
Total parts = 1 + 4 = 5. Volume of A = (1/5) * 100 = 20 liters.
Correct Answer:
A
— 20 liters
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Q. A and B are mixed in the ratio 2:3. If the total volume of the mixture is 50 liters, how much of liquid A is present?
A.
20 liters
B.
30 liters
C.
25 liters
D.
15 liters
Show solution
Solution
The total parts in the mixture is 2 + 3 = 5. Liquid A is (2/5) * 50 = 20 liters.
Correct Answer:
A
— 20 liters
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Q. A and B are mixed in the ratio 2:3. If the total volume of the mixture is 50 liters, how much of liquid B is there?
A.
20 liters
B.
30 liters
C.
25 liters
D.
35 liters
Show solution
Solution
Total parts = 2 + 3 = 5. Volume of B = (3/5) * 50 = 30 liters.
Correct Answer:
B
— 30 liters
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Q. A and B are mixed in the ratio 4:5. If the total volume of the mixture is 90 liters, how many liters of liquid B are there?
A.
40 liters
B.
50 liters
C.
45 liters
D.
30 liters
Show solution
Solution
Total parts = 4 + 5 = 9. Volume of B = (5/9) * 90 = 50 liters.
Correct Answer:
B
— 50 liters
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Q. A and B are mixed in the ratio 4:5. If the total volume of the mixture is 90 liters, how much of liquid B is present?
A.
40 liters
B.
50 liters
C.
45 liters
D.
30 liters
Show solution
Solution
Total parts = 4 + 5 = 9. Volume of B = (5/9) * 90 = 50 liters.
Correct Answer:
B
— 50 liters
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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 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, 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 3:5. 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 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 bank offers an interest rate of 5% per annum. If a customer deposits $1,000, how much interest will the customer earn in 3 years? (2023)
A.
$150
B.
$100
C.
$50
D.
$200
Show solution
Solution
Interest = Principal * Rate * Time = $1,000 * 0.05 * 3 = $150.
Correct Answer:
B
— $100
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Q. A bicycle is sold for $300 after a discount of 25%. What was the marked price?
A.
$350
B.
$375
C.
$400
D.
$450
Show solution
Solution
Let the marked price be x. Selling Price = x - 25% of x = 0.75x. Thus, 0.75x = 300, so x = 400.
Correct Answer:
B
— $375
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Q. A book is marked at $40. If a customer buys it at a 15% discount, what is the amount saved?
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Solution
Discount = 15% of 40 = 6. Amount saved = $6.
Correct Answer:
B
— $6
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Q. A book is sold for $150 after a discount of 25%. What was the marked price of the book? (2023)
A.
$175
B.
$180
C.
$200
D.
$210
Show solution
Solution
Let the marked price be x. Selling Price = Marked Price - Discount = x - 0.25x = 0.75x. Thus, 0.75x = 150, so x = 200.
Correct Answer:
C
— $200
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Q. A book is sold for $45 after a discount of 10%. What is the marked price of the book?
A.
$50
B.
$55
C.
$60
D.
$65
Show solution
Solution
Let the marked price be x. Selling Price = x - 10% of x = 45. Thus, 0.9x = 45, so x = $50.
Correct Answer:
A
— $50
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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?
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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, 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 36 red balls and 48 blue balls. What is the maximum number of equal groups that can be formed with the balls? (2023)
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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 white and 6 black balls. If two balls are drawn at random, what is the probability that both are white?
A.
1/15
B.
2/15
C.
1/10
D.
1/5
Show solution
Solution
The probability of drawing 2 white balls is (4/10) * (3/9) = 12/90 = 1/15.
Correct Answer:
A
— 1/15
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Q. A box 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.
1/2
Show solution
Solution
Total balls = 5 + 3 = 8. Probability of drawing a blue ball = Number of blue balls / Total balls = 3/8.
Correct Answer:
B
— 3/8
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Q. A box contains 5 red balls and 3 blue balls. If two balls are drawn at random, what is the probability that both are red?
A.
5/28
B.
3/28
C.
1/7
D.
1/4
Show solution
Solution
Total ways to choose 2 balls from 8 = 8C2 = 28. Ways to choose 2 red balls = 5C2 = 10. Probability = 10/28 = 5/14.
Correct Answer:
A
— 5/28
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Q. A box contains 5 red balls, 3 blue balls, and 2 green balls. If one ball is drawn at random, what is the probability that it is not blue? (2023)
A.
0.5
B.
0.6
C.
0.7
D.
0.8
Show solution
Solution
Total balls = 10. Non-blue balls = 5 + 2 = 7. Probability = Non-blue balls / Total balls = 7/10 = 0.7.
Correct Answer:
C
— 0.7
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Q. A car covers a distance of 120 km in 2 hours. What is the speed of the car in km/h?
A.
50 km/h
B.
60 km/h
C.
70 km/h
D.
80 km/h
Show solution
Solution
Speed = Distance / Time = 120 km / 2 hours = 60 km/h.
Correct Answer:
B
— 60 km/h
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Q. A car covers a distance of 240 km at a speed of 60 km/h. How long does the journey take?
A.
3 hours
B.
4 hours
C.
5 hours
D.
6 hours
Show solution
Solution
Time = Distance / Speed = 240 km / 60 km/h = 4 hours.
Correct Answer:
B
— 4 hours
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Q. A car travels 60 km in 1 hour and 30 minutes. What is its average speed in km/h?
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Solution
Time taken is 1.5 hours. Average speed = distance/time = 60/1.5 = 40 km/h.
Correct Answer:
C
— 45
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Q. A car travels a distance in the ratio of 3:2 at two different speeds. If the total distance is 150 km, how much distance does it cover at the first speed?
A.
90 km
B.
60 km
C.
75 km
D.
45 km
Show solution
Solution
The total parts of the ratio 3:2 = 5. The distance covered at the first speed is (3/5) * 150 km = 90 km.
Correct Answer:
A
— 90 km
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Q. A car travels at a speed of 60 km/h and a bike travels at 40 km/h. What is the ratio of the speeds of the car to the bike?
A.
3:2
B.
2:3
C.
1:1
D.
4:3
Show solution
Solution
The speed of the car is 60 km/h and the speed of the bike is 40 km/h. The ratio of their speeds is 60:40, which simplifies to 3:2.
Correct Answer:
A
— 3:2
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Q. A car's value depreciates by 20% each year. If the car's initial value is $25,000, what will be its value after 2 years?
A.
$10,000
B.
$12,000
C.
$16,000
D.
$20,000
Show solution
Solution
After 1 year: $25,000 - (0.20 * 25,000) = $20,000. After 2 years: $20,000 - (0.20 * 20,000) = $16,000.
Correct Answer:
C
— $16,000
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Q. A car's value depreciates by 20% each year. If the car's initial value is $25,000, what will be its value after two years?
A.
$15,000
B.
$16,000
C.
$18,000
D.
$20,000
Show solution
Solution
After the first year, the value is $25,000 - (20% of $25,000) = $20,000. After the second year, the value is $20,000 - (20% of $20,000) = $16,000.
Correct Answer:
B
— $16,000
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