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 the present age of C is 3 times that of D, and D is 8 years old, what is C's age?
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Solution
If D is 8 years old, then C is 3 * 8 = 24 years old.
Correct Answer:
B
— 24
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Q. If the present age of C is 3 times that of D, and the sum of their ages is 48 years, what is D's age?
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Solution
Let D's age be x. Then C's age is 3x. So, x + 3x = 48, which gives 4x = 48, hence x = 12.
Correct Answer:
B
— 12
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Q. If the present age of C is 4 times that of D, and the sum of their ages is 50 years, what is the age of C?
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Solution
Let D's age be x. Then C's age is 4x. So, x + 4x = 50. Solving gives x = 10, hence C = 40.
Correct Answer:
D
— 35
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Q. If the present age of C is 4 times that of D, and the sum of their ages is 50 years, what is D's age?
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Solution
Let D's age be x. Then C's age is 4x. So, x + 4x = 50. Solving gives x = 10.
Correct Answer:
A
— 10
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Q. If the present age of C is 4 years more than D, and D is 12 years old, what is the present age of C?
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Solution
If D is 12 years old, then C is 12 + 4 = 16 years old.
Correct Answer:
A
— 14
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Q. If the present age of C is 4 years more than D, and D is 6 years old, what is C's age?
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Solution
C's age = D's age + 4 = 6 + 4 = 10 years.
Correct Answer:
A
— 8
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Q. If the present age of E is 5 years more than F and the sum of their ages is 55, what is E's age?
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Solution
Let F's age be x. Then E's age is x + 5. So, x + (x + 5) = 55, which gives 2x + 5 = 55, hence 2x = 50, x = 25. Therefore, E's age is 25 + 5 = 30.
Correct Answer:
C
— 35
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Q. If the present value of a bill is Rs. 7200 and the bankers' discount is Rs. 800, what is the face value of the bill?
A.
Rs. 8000
B.
Rs. 7200
C.
Rs. 6000
D.
Rs. 5000
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Solution
Face Value = Present Value + BD = 7200 + 800 = Rs. 8000.
Correct Answer:
A
— Rs. 8000
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Q. If the present value of a sum is $4500 and the bankers discount is $500, what is the principal?
A.
$5000
B.
$5500
C.
$6000
D.
$6500
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Solution
Principal = Present Value + Bankers Discount = 4500 + 500 = $5000.
Correct Answer:
A
— $5000
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Q. If the present worth of a sum is $1200 and the banker's discount is $180 at 9% per annum, what is the time period?
A.
1 year
B.
2 years
C.
3 years
D.
4 years
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Solution
Banker's Discount = P × R × T / 100. 180 = 1200 × 9 × T / 100. T = 2 years.
Correct Answer:
B
— 2 years
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Q. If the present worth of a sum is $2000 and the true discount is $400, what is the rate of interest per annum for 2 years?
A.
5%
B.
10%
C.
15%
D.
20%
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Solution
True Discount = Present Worth * Rate * Time / 100. 400 = 2000 * Rate * 2 / 100. Rate = (400 * 100) / (2000 * 2) = 10%.
Correct Answer:
B
— 10%
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Q. If the present worth of a sum is $600 and the true discount is $100, what is the amount after 2 years at 10% per annum?
A.
$700
B.
$800
C.
$900
D.
$1000
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Solution
Amount = Present Worth + True Discount = 600 + 100 = $700. Amount after 2 years = 700 * (1 + 0.10)^2 = $800.
Correct Answer:
C
— $900
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Q. If the present worth of a sum is $600 and the true discount is $150 for 3 years, what is the rate of interest?
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Solution
True Discount = Present Worth * Rate * Time / 100. Thus, 150 = 600 * r * 3 / 100. Solving gives r = 8%.
Correct Answer:
C
— 7%
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Q. If the present worth of a sum is $800 and the true discount is $200 for 2 years, what is the rate of interest?
A.
10%
B.
12.5%
C.
15%
D.
20%
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Solution
True Discount = Present Worth * Rate * Time / 100. Thus, 200 = 800 * r * 2 / 100. Solving gives r = 12.5%.
Correct Answer:
B
— 12.5%
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Q. If the price of a shirt is $40 and it is sold at a loss of 10%, what is the selling price?
A.
$36
B.
$38
C.
$40
D.
$42
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Solution
Selling Price = Cost Price - Loss = 40 - (10% of 40) = 40 - 4 = $36
Correct Answer:
A
— $36
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Q. If the principal amount is $2000 and the rate of interest is 5% per annum, what will be the simple interest for 3 years?
A.
$300
B.
$400
C.
$500
D.
$600
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Solution
Simple Interest = (Principal * Rate * Time) / 100 = (2000 * 5 * 3) / 100 = $300.
Correct Answer:
A
— $300
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Q. If the principal is $15000 and the bankers discount is $2250, what is the rate of interest?
A.
10%
B.
12%
C.
15%
D.
18%
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Solution
Rate = (Bankers Discount × 100) / (Principal × Time) = (2250 × 100) / (15000 × 1) = 15%.
Correct Answer:
A
— 10%
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Q. If the radius of a circle is 7 cm, what is its area? (Use π = 22/7)
A.
154 cm²
B.
44 cm²
C.
77 cm²
D.
88 cm²
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Solution
Area = π × radius² = (22/7) × (7 cm)² = 154 cm².
Correct Answer:
A
— 154 cm²
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Q. If the ratio of boys to girls in a class is 2:3 and there are 30 students in total, how many boys are there?
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Solution
Let the number of boys be 2x and girls be 3x. Then, 2x + 3x = 30, which gives 5x = 30. Therefore, x = 6. Number of boys = 2x = 2 * 6 = 12.
Correct Answer:
A
— 12
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Q. If the ratio of boys to girls in a class is 3:2 and there are 30 students, how many girls are there?
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Solution
Let the number of boys be 3x and girls be 2x. Then, 3x + 2x = 30, which gives 5x = 30, so x = 6. Therefore, the number of girls is 2x = 12.
Correct Answer:
B
— 12
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Q. If the ratio of boys to girls in a class is 3:2, how many boys are there if there are 20 girls?
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Solution
Let the number of boys be 3x and girls be 2x. 2x = 20, so x = 10. Boys = 3x = 30.
Correct Answer:
A
— 30
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Q. If the ratio of boys to girls in a class is 3:2, how many girls are there if there are 30 boys?
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Solution
Let the number of girls be 2x and boys be 3x. 3x = 30, so x = 10. Number of girls = 2x = 20.
Correct Answer:
A
— 20
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Q. If the ratio of boys to girls in a class is 3:2, what fraction of the class are boys?
A.
3/5
B.
2/5
C.
1/2
D.
1/3
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Solution
Total parts = 3 + 2 = 5. Fraction of boys = 3/5.
Correct Answer:
A
— 3/5
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Q. If the ratio of boys to girls in a class is 3:4 and there are 28 girls, how many boys are there?
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Solution
Let the number of boys be 3x and girls be 4x. Given 4x = 28, we find x = 7. Thus, boys = 3x = 3*7 = 21.
Correct Answer:
A
— 21
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Q. If the ratio of shares A to shares B is 3:2 and there are 150 shares in total, how many shares of A are there?
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Solution
Let shares of A = 3x and shares of B = 2x. Then, 3x + 2x = 150, 5x = 150, x = 30. Therefore, shares of A = 3x = 90.
Correct Answer:
A
— 90
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Q. If the ratio of shares A to shares B is 3:2 and there are 60 shares in total, how many shares of A are there?
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Solution
Let shares of A = 3x and shares of B = 2x. Then, 3x + 2x = 60, 5x = 60, x = 12. Therefore, shares of A = 3x = 36.
Correct Answer:
A
— 30
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Q. If the ratio of shares A to shares B is 3:2 and there are 60 shares of A, how many shares of B are there?
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Solution
Let the number of shares of B be x. Then, 3/2 = 60/x => x = (2/3) * 60 = 40 shares of B.
Correct Answer:
A
— 40
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Q. If the ratio of the ages of A and B is 4:5 and A is 20 years old, how old is B?
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Solution
If A's age is 4x and B's age is 5x, then 4x = 20 => x = 5. Therefore, B's age = 5x = 25.
Correct Answer:
A
— 25
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Q. If the ratio of the lengths of two sides of a triangle is 3:4 and the perimeter is 70 cm, what is the length of the shorter side?
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Solution
Let the sides be 3x and 4x. Then, 3x + 4x = 70, 7x = 70, x = 10. Therefore, the shorter side = 3x = 3*10 = 30.
Correct Answer:
A
— 21
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Q. If the ratio of the number of apples to oranges is 3:5 and there are 40 oranges, how many apples are there?
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Solution
Let apples be 3x and oranges be 5x. Given 5x = 40, x = 8. Therefore, apples = 3x = 3*8 = 24.
Correct Answer:
A
— 24
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