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 10-meter tall pole casts a shadow of 5 meters long. What is the angle of elevation of the sun?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
75 degrees
Show solution
Solution
tan(angle) = height/shadow = 10/5 = 2, angle = 60 degrees.
Correct Answer:
C
— 60 degrees
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Q. A 40-meter tall tree casts a shadow of 20 meters. What is the angle of elevation of the sun?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
75 degrees
Show solution
Solution
Using tan(θ) = height/shadow length, θ = tan^(-1)(40/20) = tan^(-1)(2) = 60 degrees.
Correct Answer:
C
— 60 degrees
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Q. A and B are of different ages. If A is 5 years older than B and the sum of their ages is 45, how old is A?
Show solution
Solution
Let B's age be x. Then A's age is x + 5. So, x + (x + 5) = 45. Solving gives A = 25.
Correct Answer:
C
— 25
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Q. A and B are of different ages. If A is 5 years older than B and the sum of their ages is 45, what is A's age?
Show solution
Solution
Let B's age be x. Then A's age is x + 5. So, x + (x + 5) = 45. Solving gives A = 25.
Correct Answer:
C
— 25
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Q. A and B can complete a task in 10 days and 15 days respectively. If they work together for 5 days, how much of the task is left?
A.
1/3
B.
1/4
C.
1/5
D.
1/6
Show solution
Solution
A's rate = 1/10, B's rate = 1/15. Combined rate = 1/10 + 1/15 = 1/6. Work done in 5 days = 5/6. Remaining = 1 - 5/6 = 1/6.
Correct Answer:
A
— 1/3
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Q. A and B can complete a task in 15 days and 20 days respectively. How much work can they complete together in 1 day?
A.
1/15
B.
1/20
C.
1/12
D.
1/10
Show solution
Solution
Work rate of A = 1/15, B = 1/20. Together = 1/15 + 1/20 = 7/60. They can complete 7/60 of the work in 1 day.
Correct Answer:
C
— 1/12
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Q. A and B can complete a task in 15 days and 20 days respectively. If they work together for 5 days, how much of the task is left?
A.
1/3
B.
1/4
C.
1/5
D.
1/6
Show solution
Solution
A's work in 1 day = 1/15, B's work in 1 day = 1/20. Together = 1/15 + 1/20 = 7/60. In 5 days = 5 * 7/60 = 7/12. Remaining = 1 - 7/12 = 5/12.
Correct Answer:
A
— 1/3
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Q. A and B can complete a work in 12 days and 15 days respectively. If they work together, how many days will they take to complete the work?
A.
6 days
B.
7 days
C.
8 days
D.
9 days
Show solution
Solution
A's work rate = 1/12, B's work rate = 1/15. Combined work rate = 1/12 + 1/15 = 5/60 = 1/12. Time taken = 12 days.
Correct Answer:
C
— 8 days
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Q. A and B can complete a work in 12 days and 15 days respectively. If they work together, how long will it take them to complete the work?
A.
6 days
B.
8 days
C.
10 days
D.
5 days
Show solution
Solution
A's work rate = 1/12, B's work rate = 1/15. Combined rate = 1/12 + 1/15 = 5/60 = 1/12. Time taken = 12 days.
Correct Answer:
B
— 8 days
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Q. A and B can complete a work in 12 days and 15 days respectively. In how many days can they complete the work together?
Show solution
Solution
A's work rate = 1/12, B's work rate = 1/15. Together, they work at the rate of 1/12 + 1/15 = 5/60 + 4/60 = 9/60 = 3/20. Therefore, they complete the work in 20/3 days = 6.67 days.
Correct Answer:
B
— 8
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Q. A and B invest in a business in the ratio 1:4. If the total profit is $5000, how much does A receive?
A.
$1000
B.
$500
C.
$2000
D.
$1500
Show solution
Solution
Total parts = 1 + 4 = 5. A's share = (1/5) * 5000 = $1000.
Correct Answer:
A
— $1000
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Q. A and B invest in a business in the ratio 3:2. If A's investment is $9000, what is B's investment?
A.
$6000
B.
$4500
C.
$3000
D.
$7500
Show solution
Solution
If A's investment is $9000 and the ratio is 3:2, then B's investment = (2/3) * 9000 = $6000.
Correct Answer:
A
— $6000
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Q. A and B invest in a business in the ratio 3:4. If B's investment is $2800, what is A's investment?
A.
$2100
B.
$2400
C.
$3000
D.
$3200
Show solution
Solution
Let A's investment be 3x and B's be 4x. 4x = 2800, so x = 700. A's investment = 3x = 3 * 700 = $2100.
Correct Answer:
B
— $2400
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Q. A and B invest in a business in the ratio 3:5. If the total profit is $40,000, how much does A receive?
A.
$15,000
B.
$18,000
C.
$20,000
D.
$25,000
Show solution
Solution
Total parts = 3 + 5 = 8. A's share = 3/8 * 40000 = $15,000.
Correct Answer:
B
— $18,000
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Q. A and B invest in a business in the ratio 4:5. If A's profit is $8,000, what is B's profit?
A.
$6,000
B.
$10,000
C.
$9,000
D.
$12,000
Show solution
Solution
Profit ratio = 4:5. If A's profit is $8,000, then B's profit = (5/4) * 8000 = $10,000.
Correct Answer:
B
— $10,000
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Q. A and B invest in a business in the ratio 4:5. If the total profit is $45,000, how much does A receive?
A.
$20,000
B.
$18,000
C.
$15,000
D.
$25,000
Show solution
Solution
Total parts = 4 + 5 = 9. A's share = 4/9 * 45000 = $20,000.
Correct Answer:
B
— $18,000
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Q. A and B invest in a business in the ratio 4:6. If A's profit is $2,400, what is the total profit?
A.
$4,800
B.
$6,000
C.
$8,000
D.
$9,600
Show solution
Solution
Profit ratio = 4:6 = 2:3. If A's share is $2400, total profit = (2400 * 5) / 2 = $6,000.
Correct Answer:
A
— $4,800
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Q. A and B invest in a business in the ratio 5:3. If the total profit is $1600, how much does B receive?
A.
$600
B.
$800
C.
$700
D.
$500
Show solution
Solution
Total parts = 5 + 3 = 8. B's share = (3/8) * 1600 = $600.
Correct Answer:
A
— $600
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Q. A and B invest in a business in the ratio 5:7. If B's investment is $14,000, what is A's investment?
A.
$10,000
B.
$12,000
C.
$15,000
D.
$16,000
Show solution
Solution
If B's investment is 7 parts = $14,000, then 1 part = $14,000/7 = $2,000. A's investment = 5 parts = 5 * $2,000 = $10,000.
Correct Answer:
B
— $12,000
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Q. A and B invest in a business in the ratio 5:7. If the total profit is $24,000, how much does A receive?
A.
$10,000
B.
$12,000
C.
$14,000
D.
$16,000
Show solution
Solution
Total parts = 5 + 7 = 12. A's share = 5/12 * 24000 = $10,000.
Correct Answer:
B
— $12,000
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Q. A and B invest in a business in the ratio 5:7. If the total profit is $24,000, how much profit does B receive?
A.
$10,000
B.
$12,000
C.
$14,000
D.
$16,000
Show solution
Solution
Total parts = 5 + 7 = 12. B's share = (7/12) * 24000 = $14,000.
Correct Answer:
B
— $12,000
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Q. A and B invest in a business in the ratio of 1:3. If the total profit is $8000, how much does B receive?
A.
$2000
B.
$4000
C.
$6000
D.
$8000
Show solution
Solution
Total parts = 1 + 3 = 4. B's share = (3/4) * 8000 = $6000.
Correct Answer:
B
— $4000
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Q. A and B invest in a business in the ratio of 1:4. If the total profit is $5000, how much does A receive?
A.
$1000
B.
$500
C.
$2000
D.
$1500
Show solution
Solution
Total parts = 1 + 4 = 5. A's share = (1/5) * 5000 = $1000.
Correct Answer:
A
— $1000
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Q. A and B invest in a business in the ratio of 2:3. If the total profit is $7000, how much does B receive?
A.
$2800
B.
$4200
C.
$3500
D.
$3000
Show solution
Solution
Total parts = 2 + 3 = 5. B's share = (3/5) * 7000 = $4200.
Correct Answer:
B
— $4200
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Q. A and B invest in a business in the ratio of 3:2. If A's investment is $9000, what is B's investment?
A.
$6000
B.
$4500
C.
$3000
D.
$7500
Show solution
Solution
If A's investment is $9000 and the ratio is 3:2, then B's investment = (2/3) * 9000 = $6000.
Correct Answer:
A
— $6000
Learn More →
Q. A and B invest in a business in the ratio of 5:3. If the total profit is $1600, how much does B receive?
A.
$600
B.
$800
C.
$400
D.
$500
Show solution
Solution
Total parts = 5 + 3 = 8. B's share = (3/8) * 1600 = $600.
Correct Answer:
B
— $800
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Q. A and B invest in a business with A investing $12,000 and B investing $18,000. If the total profit is $30,000, how much does A receive?
A.
$12,000
B.
$10,000
C.
$8,000
D.
$15,000
Show solution
Solution
Total investment = 12000 + 18000 = 30000. A's share = (12000/30000) * 30000 = $12,000.
Correct Answer:
B
— $10,000
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Q. A and B invest in a business with A investing $12000 and B investing $18000. If they make a profit of $6000, how much does A get?
A.
$2400
B.
$3600
C.
$3000
D.
$2000
Show solution
Solution
Total investment = 12000 + 18000 = 30000. A's share = (12000/30000) * 6000 = $2400.
Correct Answer:
B
— $3600
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Q. A and B invest in a business with A investing $2000 and B investing $3000. If they make a profit of $1000, how much profit does A get?
A.
$400
B.
$600
C.
$500
D.
$300
Show solution
Solution
Total investment = 2000 + 3000 = $5000. A's share = (2000/5000) * 1000 = $400.
Correct Answer:
B
— $600
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Q. A and B invest in a business with A investing $2000 and B investing $3000. If they make a profit of $1000, how much does A get?
A.
$400
B.
$600
C.
$500
D.
$300
Show solution
Solution
Total investment = 2000 + 3000 = 5000. A's share = (2000/5000) * 1000 = $400.
Correct Answer:
B
— $600
Learn More →
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