Arithmetic Aptitude MCQ & Objective Questions
Arithmetic Aptitude is a crucial component of many school and competitive exams in India. Mastering this subject not only enhances your mathematical skills but also boosts your confidence in tackling objective questions. Regular practice with MCQs and practice questions helps you identify important questions and improves your exam preparation, ensuring you score better in your assessments.
What You Will Practise Here
Basic arithmetic operations: addition, subtraction, multiplication, and division
Fractions and decimals: conversion and operations
Percentage calculations: increase, decrease, and comparisons
Ratio and proportion: understanding and application
Averages: calculating and interpreting data
Simple and compound interest: formulas and problem-solving
Time, speed, and distance: concepts and related problems
Exam Relevance
Arithmetic Aptitude is a significant topic in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect questions that test their understanding of basic concepts, calculations, and problem-solving abilities. Common question patterns include direct application of formulas, word problems, and data interpretation, making it essential to practice thoroughly.
Common Mistakes Students Make
Misunderstanding the question requirements, leading to incorrect answers.
Overlooking the order of operations in complex calculations.
Confusing percentages with fractions, resulting in calculation errors.
Neglecting to convert units properly in time, speed, and distance problems.
Failing to apply the correct formula for interest calculations.
FAQs
Question: What are some effective strategies for solving Arithmetic Aptitude MCQs?Answer: Practice regularly, understand the underlying concepts, and familiarize yourself with different question types to enhance your speed and accuracy.
Question: How can I improve my speed in solving Arithmetic Aptitude questions?Answer: Time yourself while practicing and focus on shortcuts and tricks that can simplify calculations.
Start your journey towards mastering Arithmetic Aptitude 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. A worker can complete a job in 10 days. How much of the job will he complete in 3 days?
A.
1/3
B.
1/4
C.
1/5
D.
1/2
Show solution
Solution
Work done in 1 day = 1/10. Work done in 3 days = 3 * (1/10) = 3/10.
Correct Answer:
A
— 1/3
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Q. A worker can complete a job in 10 days. How much work can he complete in 3 days?
A.
1/3
B.
1/4
C.
1/5
D.
1/2
Show solution
Solution
Work done in 1 day = 1/10. Work done in 3 days = 3 × (1/10) = 3/10.
Correct Answer:
A
— 1/3
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Q. A worker can complete a task in 12 days. If he works for 4 days, what percentage of the work is completed?
A.
25%
B.
33.33%
C.
50%
D.
66.67%
Show solution
Solution
In 4 days, he completes 4/12 = 1/3 of the work, which is 33.33%.
Correct Answer:
B
— 33.33%
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Q. A worker can complete a task in 12 hours. If he works for 4 hours, what percentage of the task is completed?
A.
25%
B.
33.33%
C.
50%
D.
66.67%
Show solution
Solution
In 4 hours, he completes 4/12 = 1/3 of the task, which is 33.33%.
Correct Answer:
B
— 33.33%
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Q. A's age is 2 years more than B's age. If the sum of their ages is 34, what is A's age?
Show solution
Solution
Let B's age be x. Then A's age is x + 2. So, x + (x + 2) = 34, which gives 2x + 2 = 34, hence 2x = 32, x = 16. Therefore, A's age is 16 + 2 = 18.
Correct Answer:
D
— 22
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Q. A's age is three times B's age. If B is 15 years old, how old is A?
Show solution
Solution
If B is 15 years old, then A is 3 * 15 = 45 years old.
Correct Answer:
A
— 30
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Q. A's age is three times B's age. If B is 8 years old, how old is A?
Show solution
Solution
If B is 8 years old, then A is 3 * 8 = 24 years old.
Correct Answer:
C
— 24
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Q. A's age is twice that of B's age. If the difference between their ages is 10 years, what is A's age?
Show solution
Solution
Let B's age be x. Then A's age is 2x. The difference is 2x - x = 10, hence x = 10. So, A's age is 2 * 10 = 20.
Correct Answer:
C
— 30
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Q. A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $60,000, how much does B receive?
A.
$10,000
B.
$20,000
C.
$30,000
D.
$40,000
Show solution
Solution
Total parts = 1 + 2 + 3 = 6. B's share = 2/6 * 60000 = $20,000.
Correct Answer:
B
— $20,000
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Q. A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $6000, how much does B receive?
A.
$1,000
B.
$2,000
C.
$3,000
D.
$4,000
Show solution
Solution
Total parts = 1 + 2 + 3 = 6. B's share = 2/6 * 6000 = $2,000.
Correct Answer:
B
— $2,000
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Q. A, B, and C invest in a business in the ratio 2:3:5. If the total profit is $10,000, how much does C receive?
A.
$4,000
B.
$5,000
C.
$6,000
D.
$7,000
Show solution
Solution
Total parts = 2 + 3 + 5 = 10. C's share = (5/10) * 10000 = $5,000.
Correct Answer:
B
— $5,000
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Q. A, B, and C invest in a business in the ratio 2:3:5. If the total profit is $10000, how much does C receive?
A.
$4000
B.
$5000
C.
$6000
D.
$7000
Show solution
Solution
Total parts = 2 + 3 + 5 = 10. C's share = (5/10) * 10000 = $5000.
Correct Answer:
B
— $5000
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Q. A, B, and C invest in a business in the ratio 2:3:5. If the total profit is $40,000, how much does B receive?
A.
$10,000
B.
$12,000
C.
$15,000
D.
$18,000
Show solution
Solution
Total parts = 2 + 3 + 5 = 10. B's share = (3/10) * 40000 = $12,000.
Correct Answer:
B
— $12,000
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Q. A, B, and C invest in a business in the ratio 3:4:5. If the total profit is $24,000, how much does C receive?
A.
$8,000
B.
$10,000
C.
$12,000
D.
$14,000
Show solution
Solution
Total parts = 3 + 4 + 5 = 12. C's share = (5/12) * 24000 = $10,000.
Correct Answer:
C
— $12,000
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Q. A, B, and C invest in a business in the ratio 3:4:5. If the total profit is $2400, how much does C receive?
A.
$800
B.
$1000
C.
$1200
D.
$1400
Show solution
Solution
The total parts = 3 + 4 + 5 = 12. C's share = 5/12 * 2400 = $1000.
Correct Answer:
C
— $1200
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Q. A, B, and C invest in a business in the ratio of 2:3:5. If the total profit is $10000, how much does C receive?
A.
$4000
B.
$5000
C.
$6000
D.
$7000
Show solution
Solution
Total parts = 2 + 3 + 5 = 10. C's share = (5/10) * 10000 = $5000.
Correct Answer:
B
— $5000
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Q. A, B, and C invest in a business with investments of $2000, $3000, and $5000 respectively. What is the average investment?
A.
$3000
B.
$4000
C.
$5000
D.
$6000
Show solution
Solution
Total investment = 2000 + 3000 + 5000 = $10000. Average investment = 10000 / 3 = $3333.33.
Correct Answer:
A
— $3000
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Q. A, B, and C invest in a business with investments of $4000, $6000, and $10000 respectively. If the total profit is $6000, how much does C receive?
A.
$2000
B.
$3000
C.
$4000
D.
$5000
Show solution
Solution
Total investment = 4000 + 6000 + 10000 = $20000. C's share = (10000/20000) * 6000 = $3000.
Correct Answer:
B
— $3000
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Q. A, B, and C invest in a business with investments of $5000, $7000, and $8000 respectively. If the total profit is $6000, how much does B receive?
A.
$2000
B.
$2400
C.
$2800
D.
$3000
Show solution
Solution
Total investment = 5000 + 7000 + 8000 = 20000. B's share = (7000/20000) * 6000 = $2100.
Correct Answer:
B
— $2400
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Q. An investor bought 200 shares at $50 each and sold them at $60 each. What is the total profit?
A.
$2000
B.
$1000
C.
$1500
D.
$2500
Show solution
Solution
Total Cost Price = 200 * 50 = $10000. Total Selling Price = 200 * 60 = $12000. Profit = Selling Price - Cost Price = 12000 - 10000 = $2000.
Correct Answer:
B
— $1000
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Q. An investor bought shares for $600 and sold them for $720. What is the average profit per share if 12 shares were bought?
A.
$10
B.
$15
C.
$20
D.
$25
Show solution
Solution
Total Profit = Selling Price - Cost Price = 720 - 600 = $120. Average Profit per Share = Total Profit / Number of Shares = 120 / 12 = $10
Correct Answer:
B
— $15
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Q. An investor earns $300 from a stock investment of $3000. What is the return on investment (ROI) percentage?
A.
5%
B.
10%
C.
15%
D.
20%
Show solution
Solution
ROI = (Profit / Investment) * 100 = (300 / 3000) * 100 = 10%.
Correct Answer:
B
— 10%
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Q. An investor invests $1000 in a stock with a compound interest rate of 5% per annum. What will be the amount after 2 years?
A.
$1100.25
B.
$1102.50
C.
$1105.00
D.
$1107.50
Show solution
Solution
Amount = Principal * (1 + Rate)^Time = 1000 * (1 + 0.05)^2 = 1000 * 1.1025 = $1102.50
Correct Answer:
B
— $1102.50
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Q. At what time between 2:00 and 3:00 do the hands of the clock overlap?
A.
2:30
B.
2:15
C.
2:45
D.
2:20
Show solution
Solution
The hands overlap at approximately 2:10 and 10/11 minutes.
Correct Answer:
B
— 2:15
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Q. At what time between 2:00 and 3:00 will the hands of a clock be at right angles?
A.
2:15
B.
2:30
C.
2:45
D.
2:20
Show solution
Solution
The hands of a clock are at right angles at approximately 2:45.
Correct Answer:
C
— 2:45
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Q. At what time between 3:00 and 4:00 will the hands of a clock be at right angles?
A.
3:15
B.
3:30
C.
3:45
D.
3:50
Show solution
Solution
The hands of a clock are at right angles at 3:15 and 3:45. The first occurrence is at 3:15.
Correct Answer:
C
— 3:45
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Q. At what time between 4:00 and 5:00 will the hands of a clock be at right angles?
A.
4:15
B.
4:30
C.
4:45
D.
4:20
Show solution
Solution
The hands of the clock are at right angles at approximately 4:20.
Correct Answer:
D
— 4:20
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Q. At what time will the hands of a clock be at right angles after 2:00?
A.
2:15
B.
2:30
C.
2:45
D.
2:10
Show solution
Solution
The hands of a clock are at right angles at 2:30.
Correct Answer:
B
— 2:30
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Q. At what time will the hands of a clock be in a straight line after 3:00?
A.
3:15
B.
3:30
C.
3:45
D.
3:10
Show solution
Solution
The hands of the clock will be in a straight line at approximately 3:10.
Correct Answer:
D
— 3:10
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Q. B can run 10% faster than A. If A runs at 18 km/h, what is B's speed?
A.
19.8 km/h
B.
20 km/h
C.
17 km/h
D.
16.2 km/h
Show solution
Solution
B's speed = 18 km/h * 1.1 = 19.8 km/h.
Correct Answer:
A
— 19.8 km/h
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