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 product is sold for $150 after a loss of 10%, what was the cost price?
A.
$135
B.
$140
C.
$145
D.
$150
Show solution
Solution
Let Cost Price = x. Selling Price = x - 10% of x = 0.9x. 0.9x = 150. x = 150/0.9 = 166.67.
Correct Answer:
A
— $135
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Q. If a product is sold for $240 after a discount of 20%, what was the marked price?
A.
$300
B.
$280
C.
$250
D.
$320
Show solution
Solution
Let Marked Price = x. Selling Price = x - 20% of x = 0.8x. 0.8x = 240. x = 240/0.8 = 300.
Correct Answer:
A
— $300
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Q. If a product is sold for $80 after a discount of 20%, what was the original price?
A.
$90
B.
$100
C.
$110
D.
$120
Show solution
Solution
Let the original price be x. Then, x - 0.2x = 80, 0.8x = 80, x = 100.
Correct Answer:
B
— $100
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Q. If a runner completes a 10 km race in 50 minutes, what is his speed in km/h?
A.
10 km/h
B.
12 km/h
C.
14 km/h
D.
15 km/h
Show solution
Solution
Speed = Distance / Time = 10 km / (50/60) h = 12 km/h.
Correct Answer:
B
— 12 km/h
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Q. If a sequence is defined as a_n = 2n + 1, what is a_5?
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Solution
a_5 = 2(5) + 1 = 10 + 1 = 11.
Correct Answer:
A
— 9
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Q. If a sequence is defined as a_n = 3n + 1, what is a_4?
Show solution
Solution
a_4 = 3(4) + 1 = 12 + 1 = 13.
Correct Answer:
B
— 11
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Q. If a sequence is defined as a_n = 3n + 2, what is a_4?
Show solution
Solution
a_4 = 3(4) + 2 = 12 + 2 = 14.
Correct Answer:
B
— 14
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Q. If a sequence is defined by a_n = 2n + 1, what is a_4?
Show solution
Solution
a_4 = 2(4) + 1 = 8 + 1 = 9.
Correct Answer:
A
— 7
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Q. If a sequence is defined by a_n = 3n + 1, what is a_4?
Show solution
Solution
Substituting n = 4 gives a_4 = 3(4) + 1 = 12 + 1 = 13.
Correct Answer:
B
— 11
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Q. If a sequence is defined by a_n = 3n + 1, what is a_5?
Show solution
Solution
a_5 = 3(5) + 1 = 15 + 1 = 16.
Correct Answer:
A
— 14
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Q. If a sequence starts with 2 and each term is multiplied by 3, what is the 4th term?
A.
18
B.
54
C.
162
D.
486
Show solution
Solution
The sequence is 2, 6, 18, 54; the 4th term is 54.
Correct Answer:
C
— 162
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Q. If a shirt costs $40 and is sold for $50, what is the profit percentage?
A.
20%
B.
25%
C.
30%
D.
15%
Show solution
Solution
Profit = Selling Price - Cost Price = 50 - 40 = 10. Profit Percentage = (10/40) * 100 = 25%.
Correct Answer:
B
— 25%
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Q. If a stock price increases from $40 to $50, what is the percentage increase?
A.
20%
B.
25%
C.
30%
D.
35%
Show solution
Solution
Percentage Increase = ((New Price - Old Price) / Old Price) * 100 = ((50 - 40) / 40) * 100 = 25%
Correct Answer:
B
— 25%
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Q. If a sum of money doubles in 5 years at simple interest, what is the rate of interest?
A.
10%
B.
20%
C.
15%
D.
25%
Show solution
Solution
Rate = (100 * Principal) / (Principal * Time) = (100 * 1) / (1 * 5) = 20%
Correct Answer:
B
— 20%
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Q. If a sum of money doubles itself in 5 years at simple interest, what is the rate of interest?
A.
10%
B.
12%
C.
15%
D.
20%
Show solution
Solution
Rate = (100 * Principal) / (Principal * Time) = (100 * 1) / (1 * 5) = 20%. Therefore, the rate of interest is 20%.
Correct Answer:
A
— 10%
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Q. If a sum of money is invested at a compound interest rate of 12% per annum, how much will it grow in 2 years if the principal is $1500?
A.
$1680
B.
$1690
C.
$1700
D.
$1710
Show solution
Solution
Total Amount = P(1 + r/100)^n = 1500(1 + 0.12)^2 = 1500(1.2544) = $1881.60.
Correct Answer:
A
— $1680
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Q. If a sum of money is invested at a compound interest rate of 5% per annum, how long will it take for the investment to double?
A.
14.4 years
B.
15 years
C.
10 years
D.
12 years
Show solution
Solution
Using the Rule of 72, Time = 72 / Rate = 72 / 5 = 14.4 years.
Correct Answer:
A
— 14.4 years
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Q. If a train covers a distance of 300 km at a speed of 75 km/h, how long will it take?
A.
3 hours
B.
4 hours
C.
5 hours
D.
6 hours
Show solution
Solution
Time = Distance / Speed = 300 km / 75 km/h = 4 hours
Correct Answer:
B
— 4 hours
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Q. If a train is moving at 90 km/h and a boat is moving at 30 km/h, how much faster is the train than the boat?
A.
50 km/h
B.
60 km/h
C.
70 km/h
D.
80 km/h
Show solution
Solution
Difference in speed = Speed of train - Speed of boat = 90 km/h - 30 km/h = 60 km/h.
Correct Answer:
A
— 50 km/h
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Q. If a train travels 120 km in 2 hours, what is its speed in km/h?
A.
60 km/h
B.
70 km/h
C.
80 km/h
D.
90 km/h
Show solution
Solution
Speed = Distance / Time = 120 km / 2 h = 60 km/h.
Correct Answer:
A
— 60 km/h
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Q. If a train travels 120 km in 2 hours, what is its speed in m/s?
A.
10 m/s
B.
15 m/s
C.
20 m/s
D.
25 m/s
Show solution
Solution
Speed = Distance / Time = 120 km / 2 h = 60 km/h = (60 * 1000) / (3600) = 16.67 m/s.
Correct Answer:
C
— 20 m/s
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Q. If a train travels 240 km in 3 hours, what is its speed in km/h?
A.
70 km/h
B.
80 km/h
C.
90 km/h
D.
100 km/h
Show solution
Solution
Speed = Distance / Time = 240 km / 3 h = 80 km/h.
Correct Answer:
B
— 80 km/h
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Q. If a train 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 train travels at a speed of 90 km/h, how long will it take to cover 450 km?
A.
4 hours
B.
5 hours
C.
6 hours
D.
7 hours
Show solution
Solution
Time = Distance / Speed = 450 km / 90 km/h = 5 hours.
Correct Answer:
B
— 5 hours
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Q. If a work can be completed by 10 men in 15 days, how many days will it take for 5 men to complete the same work?
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Solution
Total work = 10 men * 15 days = 150 man-days. For 5 men, days required = 150 / 5 = 30 days.
Correct Answer:
C
— 40
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Q. If a worker can complete a task in 10 days, how much of the work will he complete in 3 days?
A.
1/10
B.
1/5
C.
3/10
D.
3/5
Show solution
Solution
Work done in 1 day = 1/10. Work done in 3 days = 3 × (1/10) = 3/10.
Correct Answer:
C
— 3/10
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Q. If b = 2^(1/3), what is b^6?
Show solution
Solution
b^6 = (2^(1/3))^6 = 2^2 = 4.
Correct Answer:
B
— 8
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Q. If D is the father of E and F is the mother of E, what is the relationship between D and F?
A.
Siblings
B.
Husband and Wife
C.
Cousins
D.
Unrelated
Show solution
Solution
D and F are the parents of E, which means they are husband and wife.
Correct Answer:
B
— Husband and Wife
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Q. If G is the son of H and I is the daughter of H, how is I related to G?
A.
Sister
B.
Brother
C.
Cousin
D.
Aunt
Show solution
Solution
I is the daughter of H, and since G is also a child of H, I is G's sister.
Correct Answer:
A
— Sister
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Q. If J is the uncle of K and L is the sister of K, what is the relationship between J and L?
A.
Aunt
B.
Uncle
C.
Cousin
D.
None of the above
Show solution
Solution
J is the uncle of K, and since L is K's sister, J is also L's uncle.
Correct Answer:
B
— Uncle
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