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. If $1200 is invested at a compound interest rate of 10% per annum, what will be the total amount after 3 years?
A.
$1593.00
B.
$1500.00
C.
$1600.00
D.
$1700.00
Show solution
Solution
Total Amount = 1200(1 + 0.10)^3 = 1200(1.331) = 1597.20
Correct Answer:
A
— $1593.00
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Q. If $1200 is invested at a compound interest rate of 7% per annum, what will be the total amount after 5 years?
A.
$1685.06
B.
$1700.00
C.
$1600.00
D.
$1500.00
Show solution
Solution
Amount = P(1 + r/n)^(nt) = 1200(1 + 0.07/1)^(1*5) = 1200(1.402552) = 1685.06
Correct Answer:
A
— $1685.06
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Q. If $1500 is invested at a compound interest rate of 4% per annum, how much will it amount to after 2 years?
A.
$1624.00
B.
$1560.00
C.
$1500.00
D.
$1584.00
Show solution
Solution
Amount = P(1 + r/n)^(nt) = 1500(1 + 0.04/1)^(1*2) = 1500(1.0816) = 1624.00
Correct Answer:
A
— $1624.00
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Q. If $1500 is invested at a compound interest rate of 4% per annum, what will be the total amount after 2 years?
A.
$1624.00
B.
$1560.00
C.
$1500.00
D.
$1584.00
Show solution
Solution
Total Amount = P(1 + r/n)^(nt) = 1500(1 + 0.04/1)^(1*2) = 1500(1.0816) = 1624.00
Correct Answer:
A
— $1624.00
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Q. If $1500 is invested at an interest rate of 4% compounded annually, what will be the total amount after 5 years?
A.
$1800.00
B.
$1820.00
C.
$1833.00
D.
$1850.00
Show solution
Solution
Total Amount = P(1 + r/n)^(nt) = 1500(1 + 0.04/1)^(1*5) = 1500(1.2166529) = 1824.98
Correct Answer:
C
— $1833.00
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Q. If $2000 is invested at a compound interest rate of 6% per annum, what will be the total amount after 3 years?
A.
$2380.00
B.
$2260.00
C.
$2120.00
D.
$2400.00
Show solution
Solution
Amount = P(1 + r)^n = 2000(1 + 0.06)^3 = 2000(1.191016) = $2380.03
Correct Answer:
A
— $2380.00
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Q. If $2000 is invested at a compound interest rate of 6% per annum, what will be the total amount after 5 years?
A.
$2676.00
B.
$2500.00
C.
$2800.00
D.
$3000.00
Show solution
Solution
Total Amount = 2000(1 + 0.06)^5 = 2000(1.338225) = 2676.45, rounded to $2676.00
Correct Answer:
A
— $2676.00
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Q. If $2500 is invested at a compound interest rate of 5% per annum, what will be the total amount after 4 years?
A.
$3031.25
B.
$2500.00
C.
$2800.00
D.
$2900.00
Show solution
Solution
Amount = P(1 + r/n)^(nt) = 2500(1 + 0.05/1)^(1*4) = 2500(1.215506) = 3031.25
Correct Answer:
A
— $3031.25
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Q. If $2500 is invested at a compound interest rate of 8% per annum, what will be the total amount after 3 years?
A.
$2975.00
B.
$3000.00
C.
$2800.00
D.
$2900.00
Show solution
Solution
Amount = P(1 + r/n)^(nt) = 2500(1 + 0.08/1)^(1*3) = 2500(1.259712) = 2975.00
Correct Answer:
A
— $2975.00
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Q. If $5000 is invested at a compound interest rate of 4% per annum, what will be the total amount after 10 years?
A.
$7400
B.
$7405
C.
$6000
D.
$6005
Show solution
Solution
Amount = P(1 + r)^n = 5000(1 + 0.04)^10 = 5000(1.48024) = $7401.20.
Correct Answer:
A
— $7400
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Q. If $8000 is invested at a compound interest rate of 3% per annum, what will be the amount after 4 years?
A.
$9000.00
B.
$9009.12
C.
$8500.00
D.
$8509.12
Show solution
Solution
Total Amount = 8000(1 + 0.03)^4 = 8000(1.12550881) = 9009.12
Correct Answer:
B
— $9009.12
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Q. If 0.2 of a number is 10, what is the number?
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Solution
Let the number be x. Then, 0.2x = 10. Therefore, x = 10 / 0.2 = 50.
Correct Answer:
A
— 40
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Q. If 0.4 is expressed as a fraction, what is it?
A.
2/5
B.
1/4
C.
3/5
D.
1/2
Show solution
Solution
0.4 = 4/10 = 2/5 after simplification.
Correct Answer:
A
— 2/5
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Q. If 0.75 of a number is 30, what is the number?
Show solution
Solution
Let the number be x. Then, 0.75x = 30. Therefore, x = 30 / 0.75 = 40.
Correct Answer:
B
— 25
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Q. If 15% of a mixture is acid and the rest is water, how much water is in 200 liters of the mixture?
A.
170 liters
B.
180 liters
C.
185 liters
D.
190 liters
Show solution
Solution
15% of 200 liters is 30 liters of acid. Therefore, water = 200 - 30 = 170 liters.
Correct Answer:
A
— 170 liters
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Q. If 15% of a mixture is sugar and the total weight of the mixture is 200 kg, how much sugar is in the mixture?
A.
25 kg
B.
30 kg
C.
35 kg
D.
40 kg
Show solution
Solution
Sugar = 15% of 200 kg = 0.15 * 200 = 30 kg.
Correct Answer:
D
— 40 kg
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Q. If 15% of a mixture is water and the rest is milk, what is the ratio of milk to water in the mixture?
A.
5:1
B.
6:1
C.
7:1
D.
8:1
Show solution
Solution
Water = 15%, Milk = 100% - 15% = 85%. Ratio of milk to water = 85:15 = 17:3 = 6:1.
Correct Answer:
B
— 6:1
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Q. If 15% of a number is 45, what is the number?
A.
250
B.
300
C.
350
D.
400
Show solution
Solution
Let the number be x. Then, 0.15x = 45. Therefore, x = 45/0.15 = 300.
Correct Answer:
B
— 300
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Q. If 20 liters of a mixture contains 60% alcohol, how much alcohol is in the mixture?
A.
8 liters
B.
10 liters
C.
12 liters
D.
15 liters
Show solution
Solution
Alcohol = 60% of 20 liters = 0.6 * 20 = 12 liters.
Correct Answer:
B
— 10 liters
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Q. If 20% of a number is 50, what is the number?
A.
200
B.
250
C.
300
D.
400
Show solution
Solution
Let the number be x. Then, 0.2x = 50. Therefore, x = 50 / 0.2 = 250.
Correct Answer:
A
— 200
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Q. If 2^(2x) = 16, what is the value of x?
Show solution
Solution
16 can be expressed as 2^4. Therefore, 2^(2x) = 2^4 implies 2x = 4, so x = 2.
Correct Answer:
B
— 2
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Q. If 2^(x-2) = 1/8, what is the value of x?
Show solution
Solution
1/8 can be expressed as 2^-3. Therefore, 2^(x-2) = 2^-3 implies x - 2 = -3, so x = -1.
Correct Answer:
D
— 3
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Q. If 3 men can complete a work in 10 days, how many days will it take for 5 men to complete the same work?
A.
6 days
B.
8 days
C.
10 days
D.
12 days
Show solution
Solution
Work done by 3 men in 10 days = 3 * 10 = 30 man-days. 5 men will take 30/5 = 6 days.
Correct Answer:
A
— 6 days
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Q. If 30% of a number is 150, what is the number?
A.
400
B.
450
C.
500
D.
600
Show solution
Solution
Let the number be x. Then, 0.3x = 150. Therefore, x = 150 / 0.3 = 500.
Correct Answer:
B
— 450
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Q. If 3x + 5 = 20, what is the value of x?
Show solution
Solution
To solve for x, subtract 5 from both sides: 3x = 15. Then divide by 3: x = 5.
Correct Answer:
A
— 3
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Q. If 4 workers can finish a job in 16 days, how many days will 8 workers take to finish the same job?
A.
8 days
B.
10 days
C.
12 days
D.
14 days
Show solution
Solution
Work = 4 workers × 16 days = 64 man-days. For 8 workers, days = 64/8 = 8 days.
Correct Answer:
A
— 8 days
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Q. If 40% of a number is 80, what is the number?
A.
150
B.
200
C.
250
D.
300
Show solution
Solution
Let the number be x. Then, 0.4x = 80. So, x = 80 / 0.4 = 200.
Correct Answer:
B
— 200
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Q. If 45% of a number is 90, what is the number?
A.
150
B.
200
C.
250
D.
300
Show solution
Solution
Let the number be x. 0.45x = 90, x = 90/0.45 = 200
Correct Answer:
B
— 200
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Q. If 5 apples cost $10, how much do 8 apples cost?
A.
$12
B.
$15
C.
$16
D.
$14
Show solution
Solution
Cost of 1 apple = $10 / 5 = $2. Therefore, cost of 8 apples = 8 × $2 = $16.
Correct Answer:
C
— $16
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Q. If 5 workers can complete a task in 20 days, how many days will it take for 10 workers to complete the same task?
A.
10 days
B.
15 days
C.
20 days
D.
25 days
Show solution
Solution
Work done is inversely proportional to the number of workers. If 5 workers take 20 days, then 10 workers will take 20/2 = 10 days.
Correct Answer:
A
— 10 days
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