Arithmetic Aptitude MCQ & Objective Questions
Arithmetic Aptitude is a crucial component of many school and competitive exams in India. Mastering this topic not only enhances your mathematical skills but also boosts your confidence in tackling objective questions. By practicing MCQs and important questions, you can significantly improve your exam preparation and scoring potential.
What You Will Practise Here
Basic operations: addition, subtraction, multiplication, and division
Fractions and decimals: conversions and calculations
Percentages: calculating and understanding percentage problems
Averages: finding mean, median, and mode
Ratios and proportions: solving ratio problems and direct/indirect proportions
Time, speed, and distance: understanding and applying related formulas
Simple and compound interest: calculating interests and their applications
Exam Relevance
Arithmetic Aptitude is a key area in various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect questions that test their understanding of basic arithmetic operations, problem-solving skills, and application of concepts in real-life scenarios. Common question patterns include direct calculations, word problems, and data interpretation, making it essential to be well-prepared.
Common Mistakes Students Make
Misunderstanding the question: Failing to read the problem carefully can lead to incorrect answers.
Calculation errors: Simple arithmetic mistakes can cost valuable marks.
Ignoring units: Not paying attention to units in word problems can lead to confusion.
Overlooking shortcuts: Not utilizing shortcuts and formulas can waste time during exams.
FAQs
Question: What are some effective ways to prepare for Arithmetic Aptitude MCQs?Answer: Regular practice with objective questions, reviewing key concepts, and taking timed quizzes can enhance your preparation.
Question: How can I improve my speed in solving Arithmetic Aptitude questions?Answer: Familiarizing yourself with common formulas and practicing under timed conditions can help improve your speed and accuracy.
Start solving practice MCQs today to test your understanding and strengthen your Arithmetic Aptitude skills. Remember, consistent practice is the key to success in your exams!
Q. If a company has a profit margin of 15% and its total sales are $50,000, what is the profit?
A.
$5,000
B.
$7,500
C.
$10,000
D.
$12,500
Show solution
Solution
Profit = Profit Margin * Total Sales = 0.15 * 50000 = $7,500
Correct Answer:
A
— $5,000
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Q. If a container has 40 liters of a solution that is 25% salt, how much salt is in the container?
A.
5 liters
B.
10 liters
C.
15 liters
D.
20 liters
Show solution
Solution
Salt in the solution = 25% of 40L = 0.25 * 40 = 10 liters.
Correct Answer:
B
— 10 liters
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Q. If A is twice as good a workman as B and can complete a piece of work in 20 days, how long will B take to complete the same work?
A.
10 days
B.
30 days
C.
40 days
D.
60 days
Show solution
Solution
If A is twice as good as B, then B will take twice the time of A. A takes 20 days, so B will take 20 * 2 = 40 days.
Correct Answer:
B
— 30 days
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Q. If a job can be completed by 5 workers in 10 days, how many days will it take for 10 workers to complete the same job?
A.
5 days
B.
10 days
C.
15 days
D.
20 days
Show solution
Solution
Work done = Number of workers * Number of days. If 5 workers take 10 days, then 10 workers will take 10/2 = 5 days.
Correct Answer:
A
— 5 days
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Q. If a man buys a watch for $80 and sells it for $100, what is his profit in percentage?
A.
25%
B.
20%
C.
30%
D.
15%
Show solution
Solution
Profit = Selling Price - Cost Price = 100 - 80 = 20. Profit Percentage = (20/80) * 100 = 25%.
Correct Answer:
A
— 25%
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Q. If a man can complete a work in 10 days and another in 15 days, how long will it take them to complete the work together?
A.
6 days
B.
8 days
C.
5 days
D.
7 days
Show solution
Solution
Work done by first man in a day = 1/10, second man = 1/15. Together = 1/10 + 1/15 = 1/6. Time = 6 days.
Correct Answer:
B
— 8 days
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Q. If a man can complete a work in 10 days and another in 15 days, how long will they take to complete the work together?
A.
6 days
B.
8 days
C.
5 days
D.
7 days
Show solution
Solution
Work done in one day = 1/10 + 1/15 = 1/6. Therefore, they will complete the work in 6 days.
Correct Answer:
B
— 8 days
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Q. If a man makes a profit of 25% on selling a shirt for $200, what was the cost price?
A.
$160
B.
$180
C.
$150
D.
$170
Show solution
Solution
Let Cost Price = x. Selling Price = x + 25% of x = 1.25x. 1.25x = 200. x = 200/1.25 = 160.
Correct Answer:
A
— $160
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Q. If a man sells a bicycle for $300 at a loss of 10%, what was the cost price of the bicycle?
A.
$270
B.
$330
C.
$300
D.
$310
Show solution
Solution
Let Cost Price = x. Selling Price = x - 10% of x = 0.9x. 0.9x = 300. x = 300/0.9 = 333.33. Therefore, Cost Price = $333.33.
Correct Answer:
A
— $270
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Q. If a man sells a watch for $120 and makes a profit of 20%, what was the cost price of the watch?
A.
$100
B.
$110
C.
$90
D.
$80
Show solution
Solution
Let the cost price be x. Then, 120 = x + 0.2x => 120 = 1.2x => x = 100.
Correct Answer:
A
— $100
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Q. If a man sells an article for $120 at a profit of 20%, what was the cost price?
A.
$100
B.
$90
C.
$110
D.
$80
Show solution
Solution
Let Cost Price = x. Selling Price = x + 20% of x = 1.2x. 1.2x = 120. x = 120/1.2 = 100.
Correct Answer:
A
— $100
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Q. If a number is divisible by both 2 and 3, what is it also divisible by?
Show solution
Solution
A number divisible by both 2 and 3 is also divisible by their least common multiple, which is 6.
Correct Answer:
C
— 6
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Q. If a number is divisible by both 2 and 3, what is the smallest number it could be?
Show solution
Solution
The least common multiple of 2 and 3 is 6.
Correct Answer:
A
— 6
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Q. If a number is divisible by both 2 and 3, what is the smallest possible value?
Show solution
Solution
The least common multiple of 2 and 3 is 6.
Correct Answer:
C
— 6
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Q. If a number is divisible by both 4 and 6, what is the smallest positive integer that is also divisible by 12?
Show solution
Solution
The least common multiple of 4 and 6 is 12.
Correct Answer:
A
— 12
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Q. If a number is divisible by both 4 and 6, what is the smallest positive integer it can be?
Show solution
Solution
The least common multiple of 4 and 6 is 12.
Correct Answer:
A
— 12
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Q. If a number is divisible by both 4 and 6, what is the smallest possible value?
Show solution
Solution
The least common multiple of 4 and 6 is 12.
Correct Answer:
A
— 12
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Q. If a number is even, which of the following must also be even?
A.
Its square
B.
Its cube
C.
The sum of it and 2
D.
All of the above
Show solution
Solution
All options result in even numbers when an even number is used.
Correct Answer:
D
— All of the above
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Q. If a number is even, which of the following must be true?
A.
It is divisible by 2
B.
It is divisible by 3
C.
It is odd
D.
It is prime
Show solution
Solution
An even number is defined as being divisible by 2.
Correct Answer:
A
— It is divisible by 2
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Q. If a number n is odd, what can we say about n^2?
A.
n^2 is even
B.
n^2 is odd
C.
n^2 is prime
D.
n^2 is composite
Show solution
Solution
The square of an odd number is always odd.
Correct Answer:
B
— n^2 is odd
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Q. If a person borrows $5000 at a rate of 8% per annum compounded annually, what will be the amount after 2 years?
A.
$5832
B.
$6000
C.
$5200
D.
$5400
Show solution
Solution
Amount = Principal * (1 + Rate)^Time = 5000 * (1 + 0.08)^2 = 5000 * 1.1664 = $5832.
Correct Answer:
A
— $5832
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Q. If a person buys a watch for $120 and sells it for $150, what is the percentage profit?
A.
20%
B.
25%
C.
30%
D.
35%
Show solution
Solution
Profit = Selling Price - Cost Price = 150 - 120 = $30. Percentage Profit = (Profit/Cost Price) × 100 = (30/120) × 100 = 25%.
Correct Answer:
B
— 25%
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Q. If a person earns $5000 and spends $3500, what percentage of his income does he save?
A.
20%
B.
30%
C.
40%
D.
50%
Show solution
Solution
Savings = Income - Expenditure = 5000 - 3500 = 1500. Savings Percentage = (1500/5000) * 100 = 30%.
Correct Answer:
C
— 40%
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Q. If a person incurs a loss of 15% on selling a book for $85, what was the cost price?
A.
$100
B.
$90
C.
$95
D.
$80
Show solution
Solution
Let Cost Price = x. Selling Price = x - 15% of x = 0.85x. 0.85x = 85. x = 85/0.85 = 100.
Correct Answer:
A
— $100
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Q. If a person invests $1000 at a compound interest rate of 8% per annum, what will be the amount after 1 year?
A.
$1080
B.
$1000
C.
$1100
D.
$1200
Show solution
Solution
Amount = 1000 * (1 + 0.08)^1 = 1000 * 1.08 = $1080.
Correct Answer:
A
— $1080
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Q. If a person invests $1000 at a rate of 5% per annum for 3 years, what will be the total amount at the end of the period using simple interest?
A.
$1150
B.
$1200
C.
$1100
D.
$1250
Show solution
Solution
Simple Interest = Principal * Rate * Time = 1000 * 0.05 * 3 = $150. Total Amount = Principal + Interest = 1000 + 150 = $1150.
Correct Answer:
A
— $1150
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Q. If a person invests $1000 at a simple interest rate of 5% per annum for 3 years, what will be the total amount at the end?
A.
$1150
B.
$1200
C.
$1100
D.
$1250
Show solution
Solution
Simple Interest = Principal * Rate * Time = 1000 * 5/100 * 3 = 150. Total Amount = Principal + Interest = 1000 + 150 = 1150.
Correct Answer:
A
— $1150
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Q. If a person invests $1000 at an interest rate of 5% per annum, what will be the total amount after 3 years using simple interest?
A.
$1150
B.
$1200
C.
$1100
D.
$1050
Show solution
Solution
Simple Interest = Principal * Rate * Time = 1000 * 0.05 * 3 = 150. Total Amount = Principal + Interest = 1000 + 150 = 1150.
Correct Answer:
A
— $1150
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Q. If a person invests $2000 at a simple interest rate of 5% per annum, how much interest will he earn in 3 years?
A.
$300
B.
$200
C.
$150
D.
$250
Show solution
Solution
Simple Interest = PRT = 2000 * 5/100 * 3 = $300.
Correct Answer:
A
— $300
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Q. If a person invests $5000 at a compound interest rate of 4% per annum, how much will he have after 3 years?
A.
$5624.64
B.
$6000
C.
$5800
D.
$5500
Show solution
Solution
Amount = P(1 + r)^t = 5000(1 + 0.04)^3 = 5000(1.124864) = $5624.64.
Correct Answer:
A
— $5624.64
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