Quantitative Aptitude & Reasoning MCQ & Objective Questions
Quantitative Aptitude & Reasoning is a crucial component of many school and competitive exams in India. Mastering this subject not only enhances your problem-solving skills but also boosts your confidence during exams. Practicing MCQs and objective questions helps you familiarize yourself with the exam format and improves your ability to tackle important questions efficiently. Regular practice is key to achieving higher scores in your exam preparation.
What You Will Practise Here
Basic Arithmetic Operations and their applications
Number Series and Patterns
Percentage, Ratio, and Proportion
Time, Speed, and Distance problems
Data Interpretation and Analysis
Logical Reasoning and Puzzles
Algebraic Expressions and Equations
Exam Relevance
Quantitative Aptitude & Reasoning is a significant part of various examinations, including CBSE, State Boards, NEET, and JEE. In these exams, you can expect questions that test your analytical skills and numerical ability. Common question patterns include multiple-choice questions that require quick calculations and logical deductions, making it essential to practice regularly to excel.
Common Mistakes Students Make
Misinterpreting the question requirements, leading to incorrect answers.
Overlooking the importance of units in measurement problems.
Failing to apply the correct formulas in different scenarios.
Rushing through calculations, resulting in careless mistakes.
FAQs
Question: What are the best strategies for solving Quantitative Aptitude MCQs?Answer: Focus on understanding the concepts, practice regularly, and learn to manage your time effectively during exams.
Question: How can I improve my reasoning skills for competitive exams?Answer: Engage in regular practice with a variety of reasoning questions and puzzles to enhance your logical thinking.
Start your journey towards mastering Quantitative Aptitude & Reasoning 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. If A can complete a work in 14 days and B can complete it in 21 days, how long will they take to complete the work together?
A.
7 days
B.
8 days
C.
9 days
D.
10 days
Show solution
Solution
A's rate = 1/14, B's rate = 1/21. Combined rate = 1/14 + 1/21 = 1/10. They will finish the work in 10 days.
Correct Answer:
C
— 9 days
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Q. If A can do a work in 15 days and B can do it in 20 days, how long will they take to complete the work together?
A.
6 days
B.
8 days
C.
10 days
D.
12 days
Show solution
Solution
A's rate = 1/15, B's rate = 1/20. Combined rate = 1/15 + 1/20 = 1/12. They will complete the work in 12 days.
Correct Answer:
C
— 10 days
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Q. If A can do a work in 16 days and B can do it in 24 days, how long will they take to complete the work together?
A.
8 days
B.
10 days
C.
12 days
D.
14 days
Show solution
Solution
A's rate = 1/16, B's rate = 1/24. Combined rate = 1/16 + 1/24 = 1/9. They will finish the work in 9 days.
Correct Answer:
C
— 12 days
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Q. If A can finish a job in 20 days and B can finish the same job in 30 days, how long will it take for both A and B to finish the job together?
A.
10 days
B.
12 days
C.
15 days
D.
18 days
Show solution
Solution
A's rate = 1/20, B's rate = 1/30. Combined rate = 1/20 + 1/30 = 1/12. They will finish the job in 12 days.
Correct Answer:
B
— 12 days
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Q. If a car is bought for $15,000 and sold for $12,000, what is the loss percentage?
A.
20%
B.
15%
C.
25%
D.
10%
Show solution
Solution
Loss = 15000 - 12000 = 3000. Loss Percentage = (Loss/Cost Price) * 100 = (3000/15000) * 100 = 20%.
Correct Answer:
A
— 20%
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Q. If a car travels 180 km in 3 hours, what is its average speed?
A.
50 km/h
B.
60 km/h
C.
70 km/h
D.
80 km/h
Show solution
Solution
Average Speed = Total Distance / Total Time = 180 km / 3 h = 60 km/h
Correct Answer:
B
— 60 km/h
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Q. If a car travels 300 km in 4 hours, what is its average speed?
A.
60 km/h
B.
70 km/h
C.
75 km/h
D.
80 km/h
Show solution
Solution
Average Speed = Total Distance / Total Time = 300 km / 4 h = 75 km/h.
Correct Answer:
A
— 60 km/h
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Q. If a circle's area is 78.5 cm², what is its radius?
A.
5 cm
B.
7 cm
C.
6 cm
D.
4 cm
Show solution
Solution
Area = πr², so r = √(Area/π) = √(78.5/π) ≈ 5 cm.
Correct Answer:
B
— 7 cm
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Q. If a company has a profit margin of 15% and its total sales are $50,000, what is the profit?
A.
$5,000
B.
$7,500
C.
$10,000
D.
$12,500
Show solution
Solution
Profit = Profit Margin * Total Sales = 0.15 * 50000 = $7,500
Correct Answer:
A
— $5,000
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Q. If a container has 40 liters of a solution that is 25% salt, how much salt is in the container?
A.
5 liters
B.
10 liters
C.
15 liters
D.
20 liters
Show solution
Solution
Salt in the solution = 25% of 40L = 0.25 * 40 = 10 liters.
Correct Answer:
B
— 10 liters
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Q. If A is the brother of B and C is the sister of A, how is C related to B?
A.
Sister
B.
Brother
C.
Cousin
D.
None of the above
Show solution
Solution
C is the sister of A, and since A is the brother of B, C is also the sister of B.
Correct Answer:
A
— Sister
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Q. If A is twice as good a workman as B and can complete a piece of work in 20 days, how long will B take to complete the same work?
A.
10 days
B.
30 days
C.
40 days
D.
60 days
Show solution
Solution
If A is twice as good as B, then B will take twice the time of A. A takes 20 days, so B will take 20 * 2 = 40 days.
Correct Answer:
B
— 30 days
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Q. If a job can be completed by 5 workers in 10 days, how many days will it take for 10 workers to complete the same job?
A.
5 days
B.
10 days
C.
15 days
D.
20 days
Show solution
Solution
Work done = Number of workers * Number of days. If 5 workers take 10 days, then 10 workers will take 10/2 = 5 days.
Correct Answer:
A
— 5 days
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Q. If a man buys a watch for $80 and sells it for $100, what is his profit in percentage?
A.
25%
B.
20%
C.
30%
D.
15%
Show solution
Solution
Profit = Selling Price - Cost Price = 100 - 80 = 20. Profit Percentage = (20/80) * 100 = 25%.
Correct Answer:
A
— 25%
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Q. If a man can complete a work in 10 days and another in 15 days, how long will it take them to complete the work together?
A.
6 days
B.
8 days
C.
5 days
D.
7 days
Show solution
Solution
Work done by first man in a day = 1/10, second man = 1/15. Together = 1/10 + 1/15 = 1/6. Time = 6 days.
Correct Answer:
B
— 8 days
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Q. If a man can complete a work in 10 days and another in 15 days, how long will they take to complete the work together?
A.
6 days
B.
8 days
C.
5 days
D.
7 days
Show solution
Solution
Work done in one day = 1/10 + 1/15 = 1/6. Therefore, they will complete the work in 6 days.
Correct Answer:
B
— 8 days
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Q. If a man makes a profit of 25% on selling a shirt for $200, what was the cost price?
A.
$160
B.
$180
C.
$150
D.
$170
Show solution
Solution
Let Cost Price = x. Selling Price = x + 25% of x = 1.25x. 1.25x = 200. x = 200/1.25 = 160.
Correct Answer:
A
— $160
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Q. If a man sells a bicycle for $300 at a loss of 10%, what was the cost price of the bicycle?
A.
$270
B.
$330
C.
$300
D.
$310
Show solution
Solution
Let Cost Price = x. Selling Price = x - 10% of x = 0.9x. 0.9x = 300. x = 300/0.9 = 333.33. Therefore, Cost Price = $333.33.
Correct Answer:
A
— $270
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Q. If a man sells a watch for $120 and makes a profit of 20%, what was the cost price of the watch?
A.
$100
B.
$110
C.
$90
D.
$80
Show solution
Solution
Let the cost price be x. Then, 120 = x + 0.2x => 120 = 1.2x => x = 100.
Correct Answer:
A
— $100
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Q. If a man sells an article for $120 at a profit of 20%, what was the cost price?
A.
$100
B.
$90
C.
$110
D.
$80
Show solution
Solution
Let Cost Price = x. Selling Price = x + 20% of x = 1.2x. 1.2x = 120. x = 120/1.2 = 100.
Correct Answer:
A
— $100
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Q. If a man walks 5 km towards the east and then turns left and walks 3 km, in which direction is he now?
A.
North
B.
South
C.
East
D.
West
Show solution
Solution
After walking east and then turning left, he is walking south.
Correct Answer:
B
— South
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Q. If a matrix is arranged such that each element is the product of its row and column indices (starting from 1), what is the value at the position (3, 2) in a 4x4 matrix?
Show solution
Solution
The value at (3, 2) is 3 * 2 = 6.
Correct Answer:
A
— 6
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Q. If a matrix is arranged such that each element is the sum of the two elements directly above it, what is the value of the element in the second row, second column if the first row is [1, 1]?
Show solution
Solution
The second row, second column is the sum of the two elements above it, which are both 1, so 1 + 1 = 2.
Correct Answer:
B
— 2
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Q. If a matrix is filled with numbers in a spiral order starting from 1, what is the value at the center of a 5x5 matrix?
Show solution
Solution
In a 5x5 spiral matrix, the center value is 13.
Correct Answer:
B
— 15
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Q. If a number is divisible by both 2 and 3, what is it also divisible by?
Show solution
Solution
A number divisible by both 2 and 3 is also divisible by their least common multiple, which is 6.
Correct Answer:
C
— 6
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Q. If a number is divisible by both 2 and 3, what is the smallest number it could be?
Show solution
Solution
The least common multiple of 2 and 3 is 6.
Correct Answer:
A
— 6
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Q. If a number is divisible by both 2 and 3, what is the smallest possible value?
Show solution
Solution
The least common multiple of 2 and 3 is 6.
Correct Answer:
C
— 6
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Q. If a number is divisible by both 4 and 6, what is the smallest positive integer that is also divisible by 12?
Show solution
Solution
The least common multiple of 4 and 6 is 12.
Correct Answer:
A
— 12
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Q. If a number is divisible by both 4 and 6, what is the smallest positive integer it can be?
Show solution
Solution
The least common multiple of 4 and 6 is 12.
Correct Answer:
A
— 12
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Q. If a number is divisible by both 4 and 6, what is the smallest possible value?
Show solution
Solution
The least common multiple of 4 and 6 is 12.
Correct Answer:
A
— 12
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