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 age of E is 5 years more than F, and F is 15 years old, how old is E?
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Solution
E's age = F's age + 5 = 15 + 5 = 20 years.
Correct Answer:
B
— 20
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Q. If the area of a circle is 50.24 square meters, what is the radius of the circle? (Use π = 3.14)
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Solution
Area = π × radius², so radius² = Area / π = 50.24 / 3.14 = 16, thus radius = √16 = 4 meters.
Correct Answer:
B
— 5
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Q. If the area of a rectangle is 120 square meters and its length is 15 meters, what is the width of the rectangle in meters?
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Solution
Area = length × width; 120 = 15 × width; width = 120 / 15 = 8 meters.
Correct Answer:
B
— 10
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Q. If the area of a rectangle is 120 square meters and the length is 10 meters, what is the width?
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Solution
Area = length × width, so width = Area / length = 120 / 10 = 12 meters.
Correct Answer:
A
— 12
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Q. If the area of a square is 64 square meters, what is the length of one side of the square in meters?
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Solution
Area = side²; 64 = side²; side = √64 = 8 meters.
Correct Answer:
C
— 8
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Q. If the area of a square is 64 square meters, what is the length of one side of the square?
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Solution
Area = side², so side = √64 = 8 meters.
Correct Answer:
B
— 8
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Q. If the area of a square is 81 square meters, what is the length of one side of the square in meters?
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Solution
Area = side², so side = √81 = 9 meters.
Correct Answer:
C
— 9
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Q. If the area of a triangle is 60 square meters and the base is 12 meters, what is the height of the triangle?
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Solution
Area = (1/2) × base × height; 60 = (1/2) × 12 × height; height = (60 × 2) / 12 = 10 meters.
Correct Answer:
A
— 10
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Q. If the area of a triangle is 60 square meters and the base is 12 meters, what is the height of the triangle in meters?
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Solution
Area = (1/2) × base × height; 60 = (1/2) × 12 × height; height = (60 × 2) / 12 = 10 meters.
Correct Answer:
B
— 10
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Q. If the average of 10 numbers is 50 and the average of another 10 numbers is 60, what is the average of all 20 numbers?
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Solution
Total of first 10 numbers = 10 * 50 = 500. Total of second 10 numbers = 10 * 60 = 600. Combined total = 500 + 600 = 1100. Average = 1100 / 20 = 55.
Correct Answer:
A
— 55
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Q. If the average of 12 numbers is 24, what is the average if one number is increased by 12?
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Solution
Total of 12 numbers = 12 * 24 = 288. New total = 288 + 12 = 300. New average = 300 / 12 = 25.
Correct Answer:
B
— 26
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Q. If the average of 12 numbers is 25, what is the average if one number is replaced by 35?
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Solution
Total = 12 * 25 = 300. New total = 300 - x + 35. New average = (300 - x + 35) / 12.
Correct Answer:
B
— 26
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Q. If the average of 12 numbers is 45, what will be the average if one number is removed which is 60?
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Solution
Total = 12 * 45 = 540. New total = 540 - 60 = 480. New average = 480 / 11 = 43.64.
Correct Answer:
A
— 44
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Q. If the average of 15 numbers is 60, what is the average if one number is replaced by 90?
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Solution
Total = 15 * 60 = 900. New total = 900 - x + 90. New average = (900 - x + 90) / 15.
Correct Answer:
B
— 62
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Q. If the average of 4 numbers is 15, what is the sum of those numbers?
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Solution
The sum of the numbers is 4 * 15 = 60.
Correct Answer:
A
— 45
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Q. If the average of 5 numbers is 40 and one number is 60, what is the average of the remaining four numbers?
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Solution
Total of 5 numbers = 5 * 40 = 200. Total of remaining four = 200 - 60 = 140. New average = 140 / 4 = 35.
Correct Answer:
A
— 35
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Q. If the average of 5 numbers is 60, what is the average of the first 4 numbers if the fifth number is 80?
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Solution
Total of 5 numbers = 5 * 60 = 300. Total of first 4 numbers = 300 - 80 = 220. Average of first 4 = 220 / 4 = 55.
Correct Answer:
A
— 55
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Q. If the average of 5 numbers is 60, what is the sum of those numbers?
A.
300
B.
250
C.
350
D.
400
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Solution
Sum = Average * Number of items = 60 * 5 = 300.
Correct Answer:
A
— 300
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Q. If the average of 6 numbers is 12 and the average of 4 other numbers is 15, what is the average of all 10 numbers?
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Solution
Total of first 6 numbers = 6 * 12 = 72. Total of next 4 numbers = 4 * 15 = 60. Combined total = 72 + 60 = 132. Average = 132 / 10 = 13.2.
Correct Answer:
B
— 14
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Q. If the average of 8 numbers is 24, what is the sum of these numbers?
A.
192
B.
200
C.
208
D.
216
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Solution
The sum of the numbers is 8 * 24 = 192.
Correct Answer:
A
— 192
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Q. If the average of 8 numbers is 45, what is the average of the first 4 numbers if their sum is 180?
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Solution
Average of first 4 numbers = 180 / 4 = 45.
Correct Answer:
B
— 50
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Q. If the average of 8 numbers is 45, what is the sum of these numbers?
A.
360
B.
400
C.
450
D.
480
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Solution
Sum = Average * Number of items = 45 * 8 = 360.
Correct Answer:
C
— 450
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Q. If the average of 8 numbers is 50, what is the average if one number is removed and the new average is 52?
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Solution
Total of 8 numbers = 50 * 8 = 400. New total = 52 * 7 = 364. The removed number = 400 - 364 = 36.
Correct Answer:
B
— 51
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Q. If the average of 8 numbers is 50, what is the average if one number is removed and it was 60?
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Solution
Total = 50 * 8 = 400. New total = 400 - 60 = 340. New average = 340 / 7 = 48.57.
Correct Answer:
B
— 49
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Q. If the average of 8 numbers is 50, what will be the average if one number is increased by 10?
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Solution
Total of 8 numbers = 8 * 50 = 400. New total = 400 + 10 = 410. New average = 410 / 8 = 51.25, approximately 51.
Correct Answer:
B
— 51
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Q. If the average of a, b, and c is 20, what is the sum of a, b, and c?
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Solution
Sum = Average * Number of items = 20 * 3 = 60.
Correct Answer:
A
— 60
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Q. If the average of five numbers is 12, what is their total sum?
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Solution
Total sum = Average * Number of items = 12 * 5 = 60.
Correct Answer:
A
— 48
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Q. If the average of three numbers is 15 and the first two numbers are 10 and 20, what is the third number?
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Solution
Total of three numbers = 3 * 15 = 45. Sum of first two numbers = 10 + 20 = 30. Third number = 45 - 30 = 15.
Correct Answer:
D
— 25
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Q. If the average price of a stock over 4 days is $75, what is the total price over those 4 days?
A.
$300
B.
$280
C.
$320
D.
$350
Show solution
Solution
Total Price = Average Price * Number of Days = 75 * 4 = $300
Correct Answer:
A
— $300
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Q. If the average price of a stock over 5 days is $40, what is the total price over those 5 days?
A.
$200
B.
$180
C.
$220
D.
$160
Show solution
Solution
Total Price = Average Price * Number of Days = 40 * 5 = $200.
Correct Answer:
A
— $200
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