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 a mixture of 5 liters of solution A and 3 liters of solution B is made, what is the percentage of solution A in the mixture?
A.
37.5%
B.
62.5%
C.
50%
D.
75%
Show solution
Solution
Total mixture = 5 + 3 = 8 liters. Percentage of A = (5/8) * 100 = 62.5%.
Correct Answer:
B
— 62.5%
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Q. If a mixture of 60 liters contains 25% sugar, how much sugar is in the mixture?
A.
10 liters
B.
15 liters
C.
12 liters
D.
18 liters
Show solution
Solution
Sugar in the mixture = 25% of 60 liters = 0.25 * 60 = 15 liters.
Correct Answer:
A
— 10 liters
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Q. If a mixture of 60% alcohol and 40% water is diluted with 20 liters of water, what is the new percentage of alcohol in the mixture?
A.
50%
B.
55%
C.
60%
D.
65%
Show solution
Solution
Let the initial volume be 100 liters. Alcohol = 60 liters. New volume = 100 + 20 = 120 liters. New percentage = (60/120) * 100 = 50%.
Correct Answer:
A
— 50%
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Q. If a mixture of 90 liters contains 10% oil, how much oil is in the mixture?
A.
5 liters
B.
7 liters
C.
9 liters
D.
10 liters
Show solution
Solution
10% of 90 liters = (10/100) * 90 = 9 liters of oil.
Correct Answer:
C
— 9 liters
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Q. If a mixture of two liquids A and B is in the ratio 3:2, what percentage of the mixture is liquid A?
A.
30%
B.
40%
C.
60%
D.
70%
Show solution
Solution
Total parts = 3 + 2 = 5. Percentage of A = (3/5) * 100 = 60%.
Correct Answer:
C
— 60%
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Q. If a mixture of two liquids A and B is in the ratio 3:5 and the total volume is 80 liters, how many liters of liquid A are in the mixture?
A.
30 liters
B.
40 liters
C.
50 liters
D.
60 liters
Show solution
Solution
Let the volumes of A and B be 3x and 5x respectively. Then, 3x + 5x = 80 liters, 8x = 80, x = 10. Therefore, volume of A = 3x = 30 liters.
Correct Answer:
A
— 30 liters
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Q. If a month has 30 days and starts on a Friday, what day of the week will the last day of the month fall on?
A.
Friday
B.
Saturday
C.
Sunday
D.
Monday
Show solution
Solution
30 days = 4 weeks + 2 days. If the month starts on a Friday, the last day will be 2 days later, which is a Saturday.
Correct Answer:
B
— Saturday
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Q. If a month has 30 days, how many weeks are there in that month?
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Solution
30 days = 4 weeks + 2 days, which is approximately 4.29 weeks, but the closest whole number is 4 weeks.
Correct Answer:
C
— 5
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Q. If a mother is 6 times as old as her daughter now, and in 6 years, she will be 4 times as old as her daughter, how old is the daughter now?
Show solution
Solution
Let the daughter's age be x. Then the mother's age is 6x. In 6 years, the mother will be 6x + 6 and the daughter will be x + 6. The equation is 6x + 6 = 4(x + 6), which simplifies to 6x + 6 = 4x + 24, so 2x = 18, and x = 9.
Correct Answer:
C
— 5
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Q. If a number is divided by 6, the remainder is 4. What is the number?
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Solution
A number that gives a remainder of 4 when divided by 6 can be expressed as 6k + 4. For k = 2, the number is 6*2 + 4 = 16.
Correct Answer:
B
— 16
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Q. If a number is multiplied by 3 and then decreased by 9, the result is 0. What is the number?
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Solution
Let the number be x. The equation is 3x - 9 = 0. Solving gives x = 3.
Correct Answer:
C
— 3
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Q. If a number is multiplied by 9 and then decreased by 9, the result is 72. What is the number?
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Solution
Let the number be x. The equation is 9x - 9 = 72. Adding 9 to both sides gives 9x = 81, so x = 81/9 = 9.
Correct Answer:
A
— 8
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Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using the first 5 letters and 5 digits?
A.
2500
B.
5000
C.
12500
D.
15000
Show solution
Solution
The number of passwords = 5^3 × 5^2 = 125 × 25 = 3125.
Correct Answer:
C
— 12500
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Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed?
A.
175760
B.
456976
C.
1000
D.
100
Show solution
Solution
The number of passwords is 26^3 * 10^2 = 175760.
Correct Answer:
A
— 175760
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Q. If a person borrows $1000 at a simple interest rate of 6% per annum, how much interest will he pay after 4 years?
A.
$240
B.
$260
C.
$280
D.
$300
Show solution
Solution
Simple Interest = 1000 × 6 × 4 / 100 = $240.
Correct Answer:
C
— $280
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Q. If a person borrows $5000 at a compound interest rate of 6% per annum, what will be the amount after 2 years?
A.
$5632
B.
$6000
C.
$5300
D.
$5500
Show solution
Solution
Amount = Principal * (1 + Rate)^Time = 5000 * (1 + 0.06)^2 = 5000 * 1.1236 = $5618.
Correct Answer:
A
— $5632
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Q. If a person buys a laptop for $800 and sells it for $720, what is the loss percentage?
A.
10%
B.
15%
C.
12.5%
D.
8%
Show solution
Solution
Loss = Cost Price - Selling Price = 800 - 720 = 80. Loss Percentage = (Loss/Cost Price) * 100 = (80/800) * 100 = 10%.
Correct Answer:
C
— 12.5%
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Q. If a person buys a watch for $150 and sells it for $180, what is the profit in dollars?
A.
$20
B.
$30
C.
$25
D.
$15
Show solution
Solution
Profit = Selling Price - Cost Price = 180 - 150 = 30.
Correct Answer:
B
— $30
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Q. If a person buys a watch for $80 and sells it for $100, what is the profit in dollars?
A.
$15
B.
$20
C.
$25
D.
$30
Show solution
Solution
Profit = Selling Price - Cost Price = 100 - 80 = 20.
Correct Answer:
B
— $20
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Q. If a person buys a watch for $80 and sells it for $64, what is the loss percentage?
A.
15%
B.
20%
C.
25%
D.
30%
Show solution
Solution
Loss = Cost Price - Selling Price = 80 - 64 = 16. Loss Percentage = (Loss/Cost Price) * 100 = (16/80) * 100 = 20%.
Correct Answer:
C
— 25%
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Q. If a person can complete a task in 12 hours, how much of the task can he complete in 3 hours?
A.
1/4
B.
1/3
C.
1/2
D.
1/6
Show solution
Solution
In 3 hours, he can complete 3/12 = 1/4 of the task.
Correct Answer:
A
— 1/4
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Q. If a person can complete a work in 10 days, how much work can 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 a person can do a piece of work in 15 days, how much work can he do in 5 days?
A.
1/3
B.
1/4
C.
1/5
D.
1/2
Show solution
Solution
Work done in 5 days = 5/15 = 1/3 of the work.
Correct Answer:
A
— 1/3
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Q. If a person can run 100 meters in 12 seconds, what is his speed in km/h?
A.
30 km/h
B.
36 km/h
C.
25 km/h
D.
20 km/h
Show solution
Solution
Speed = Distance / Time = 100 m / 12 s = (100/12) * 18/5 = 30 km/h.
Correct Answer:
B
— 36 km/h
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Q. If a person can run 100 meters in 12 seconds, what is his speed in meters per second?
A.
8.33 m/s
B.
9 m/s
C.
7.5 m/s
D.
10 m/s
Show solution
Solution
Speed = Distance / Time = 100 m / 12 s = 8.33 m/s.
Correct Answer:
A
— 8.33 m/s
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Q. If a person earns $120 as simple interest on a principal of $800 in 2 years, what is the rate of interest?
A.
5%
B.
6%
C.
7.5%
D.
8%
Show solution
Solution
Rate = (Simple Interest × 100) / (Principal × Time) = (120 × 100) / (800 × 2) = 7.5%.
Correct Answer:
B
— 6%
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Q. If a person earns $120 as simple interest on a principal of $800 in 2 years, what is the rate of interest per annum?
A.
5%
B.
6%
C.
7.5%
D.
8%
Show solution
Solution
Rate = (Simple Interest × 100) / (Principal × Time) = (120 × 100) / (800 × 2) = 7.5%.
Correct Answer:
B
— 6%
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Q. If a person earns $1200 after a 20% raise, what was his salary before the raise?
A.
$1000
B.
$1100
C.
$900
D.
$950
Show solution
Solution
Let the original salary be x. After a 20% raise, the salary is x + 0.2x = 1.2x. Therefore, 1.2x = 1200, so x = 1200 / 1.2 = $1000.
Correct Answer:
A
— $1000
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Q. If a person earns $180 as simple interest on a principal of $1200 in 3 years, what is the rate of interest?
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Solution
Rate = (Interest * 100) / (Principal * Time) = (180 * 100) / (1200 * 3) = 5%.
Correct Answer:
B
— 5%
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Q. If a person earns $5000 and spends 60% of it, how much does he save?
A.
$1500
B.
$2000
C.
$2500
D.
$3000
Show solution
Solution
Spending = 60% of 5000 = 3000. Savings = 5000 - 3000 = $2000.
Correct Answer:
B
— $2000
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