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 5x + 3 = 23, what is the value of x?
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Solution
To solve for x, subtract 3 from both sides: 5x = 20. Then divide by 5: x = 4.
Correct Answer:
B
— 3
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Q. If 5^(2x) = 25, what is the value of x?
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Solution
25 can be expressed as 5^2. Therefore, 5^(2x) = 5^2 implies 2x = 2, so x = 1.
Correct Answer:
B
— 1
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Q. If 6 workers can complete a task in 15 days, how many workers are needed to complete the task in 10 days?
A.
8 workers
B.
9 workers
C.
10 workers
D.
12 workers
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Solution
Total work = 6 workers * 15 days = 90 man-days. To complete in 10 days, needed workers = 90/10 = 9 workers.
Correct Answer:
C
— 10 workers
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Q. If 60% of a number is 120, what is the number?
A.
150
B.
180
C.
200
D.
250
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Solution
Let the number be x. 0.6x = 120, x = 120/0.6 = 200
Correct Answer:
C
— 200
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Q. If 60% of a number is 240, what is the number?
A.
360
B.
400
C.
420
D.
480
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Solution
Let the number be x. Then, 0.6x = 240. Therefore, x = 240/0.6 = 400.
Correct Answer:
B
— 400
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Q. If a 12-meter long ladder reaches a height of 9 meters on a wall, how far is the foot of the ladder from the wall?
A.
6 meters
B.
8 meters
C.
9 meters
D.
10 meters
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Solution
Using Pythagorean theorem, distance = √(12^2 - 9^2) = √(144 - 81) = √63 = 7.94 meters (approximately 8 meters).
Correct Answer:
A
— 6 meters
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Q. If a 12-meter tall pole casts a shadow of 8 meters, what is the angle of elevation of the sun?
A.
36.87 degrees
B.
45 degrees
C.
53.13 degrees
D.
60 degrees
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Solution
tan(θ) = height / shadow = 12 / 8 = 1.5; θ = tan^(-1)(1.5) ≈ 56.31 degrees
Correct Answer:
C
— 53.13 degrees
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Q. If a 50-meter tall building casts a shadow of 25 meters, what is the angle of elevation of the sun?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
75 degrees
Show solution
Solution
Using tan(θ) = height/shadow length, θ = tan^(-1)(50/25) = tan^(-1)(2) = 60 degrees.
Correct Answer:
C
— 60 degrees
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Q. If A and B invest in a business in the ratio 4:5 and the total profit is $4500, how much does A receive?
A.
$2000
B.
$2500
C.
$1800
D.
$2200
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Solution
Total parts = 4 + 5 = 9. A's share = (4/9) * 4500 = $2000.
Correct Answer:
A
— $2000
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Q. If A and B invest in a business in the ratio of 4:5 and the total profit is $4500, how much does A receive?
A.
$2000
B.
$2500
C.
$1800
D.
$2200
Show solution
Solution
Total parts = 4 + 5 = 9. A's share = (4/9) * 4500 = $2000.
Correct Answer:
A
— $2000
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Q. If a bag contains 2 white, 3 black, and 5 blue balls, what is the probability of drawing a blue ball?
A.
1/5
B.
1/3
C.
1/2
D.
1/4
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Solution
The total number of balls is 2 + 3 + 5 = 10. The probability of drawing a blue ball is 5/10 = 1/2.
Correct Answer:
C
— 1/2
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Q. If a bag contains 2 white, 3 black, and 5 red balls, what is the probability of drawing a white ball?
A.
1/5
B.
1/4
C.
1/2
D.
1/10
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Solution
The total number of balls is 2 + 3 + 5 = 10. The probability of drawing a white ball is 2/10 = 1/5.
Correct Answer:
B
— 1/4
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Q. If a bag contains 4 apples and 6 oranges, what is the probability of randomly selecting an apple?
A.
2/5
B.
4/10
C.
1/3
D.
1/2
Show solution
Solution
The total number of fruits is 4 + 6 = 10. The probability of selecting an apple is 4/10 = 2/5.
Correct Answer:
A
— 2/5
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Q. If a bag contains 4 apples and 6 oranges, what is the probability of randomly selecting an orange?
A.
2/5
B.
3/5
C.
4/5
D.
1/5
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Solution
The total number of fruits is 4 + 6 = 10. The probability of selecting an orange is 6/10 = 3/5.
Correct Answer:
B
— 3/5
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Q. If a bag contains 4 red, 3 blue, and 5 green balls, what is the probability of drawing a green ball?
A.
1/3
B.
1/4
C.
5/12
D.
5/10
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Solution
Total balls = 4 + 3 + 5 = 12. Probability of green ball = 5/12.
Correct Answer:
C
— 5/12
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Q. If a bag contains 4 red, 3 green, and 5 blue marbles, what is the probability of drawing a blue marble?
A.
1/3
B.
1/4
C.
5/12
D.
5/10
Show solution
Solution
Total marbles = 4 + 3 + 5 = 12. Probability of blue marble = 5/12.
Correct Answer:
C
— 5/12
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Q. If a bag contains 5 red balls and 3 blue balls, what is the probability of drawing a red ball?
A.
1/2
B.
5/8
C.
3/8
D.
1/8
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Solution
Total balls = 5 + 3 = 8. Probability of red ball = 5/8.
Correct Answer:
B
— 5/8
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Q. If a bank offers 5% interest per annum, how much interest will be earned on a deposit of $2000 after 3 years?
A.
300
B.
200
C.
150
D.
250
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Solution
Simple interest = Principal * Rate * Time = 2000 * (5/100) * 3 = 300.
Correct Answer:
A
— 300
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Q. If a bank offers 5% interest per annum, how much interest will be earned on a deposit of $1,000 after 2 years?
A.
100
B.
50
C.
75
D.
200
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Solution
Interest = Principal * Rate * Time = 1000 * 0.05 * 2 = $100.
Correct Answer:
A
— 100
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Q. If a bank offers 5% interest per annum, how much interest will be earned on a principal of $2000 after 3 years?
A.
300
B.
200
C.
150
D.
100
Show solution
Solution
Interest = Principal * Rate * Time = 2000 * (5/100) * 3 = $300.
Correct Answer:
A
— 300
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Q. If a bank offers 5% interest per annum, how much interest will be earned on a principal of $2000 in 2 years?
A.
200
B.
100
C.
150
D.
250
Show solution
Solution
Interest = Principal * Rate * Time = 2000 * (5/100) * 2 = $200.
Correct Answer:
B
— 100
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Q. If a bill of Rs. 12000 is discounted at 8% per annum for 5 months, what is the Banker's Discount?
A.
Rs. 200
B.
Rs. 400
C.
Rs. 300
D.
Rs. 500
Show solution
Solution
Banker's Discount = (12000 * 8 * 5/12) / 100 = Rs. 400
Correct Answer:
B
— Rs. 400
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Q. If a bill of Rs. 15000 is discounted at 8% per annum for 2 months, what is the Banker's Discount?
A.
Rs. 100
B.
Rs. 200
C.
Rs. 300
D.
Rs. 400
Show solution
Solution
Banker's Discount = (15000 * 8 * 2/12) / 100 = Rs. 200
Correct Answer:
B
— Rs. 200
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Q. If a bill of Rs. 15000 is discounted at 8% per annum for 6 months, what is the bankers' discount?
A.
Rs. 600
B.
Rs. 800
C.
Rs. 1000
D.
Rs. 1200
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Solution
Bankers' Discount = (15000 × 8 × 0.5) / 100 = Rs. 600.
Correct Answer:
B
— Rs. 800
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Q. If a bill of Rs. 20000 is discounted at 15% per annum for 4 months, what is the bankers' discount?
A.
Rs. 1000
B.
Rs. 1200
C.
Rs. 1500
D.
Rs. 2000
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Solution
Bankers' Discount = (20000 × 15 × 1/3) / 100 = Rs. 1000.
Correct Answer:
C
— Rs. 1500
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Q. If a bill of Rs. 30000 is discounted at 5% for 6 months, what is the Banker's Discount?
A.
Rs. 750
B.
Rs. 500
C.
Rs. 600
D.
Rs. 700
Show solution
Solution
Banker's Discount = (30000 * 5 * 6/12) / 100 = Rs. 750
Correct Answer:
A
— Rs. 750
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Q. If a boat can go 20 km upstream in 4 hours, what is the speed of the boat in still water if the speed of the stream is 2 km/h?
A.
3 km/h
B.
4 km/h
C.
5 km/h
D.
6 km/h
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Solution
Speed upstream = 20/4 = 5 km/h. Speed of the boat in still water = speed upstream + speed of stream = 5 + 2 = 7 km/h.
Correct Answer:
C
— 5 km/h
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Q. If a boat can go 25 km/h in still water and the current is 5 km/h, how long will it take to travel 60 km downstream?
A.
1.5 hours
B.
2 hours
C.
2.5 hours
D.
3 hours
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Solution
Speed downstream = 25 + 5 = 30 km/h. Time = Distance/Speed = 60/30 = 2 hours.
Correct Answer:
B
— 2 hours
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Q. If a boat can travel 20 km downstream in 1 hour, what is the speed of the boat in still water if the speed of the current is 4 km/h?
A.
12 km/h
B.
16 km/h
C.
20 km/h
D.
24 km/h
Show solution
Solution
Speed downstream = Distance/Time = 20 km / 1 h = 20 km/h. Speed of boat in still water = Speed downstream - Speed of current = 20 km/h - 4 km/h = 16 km/h.
Correct Answer:
B
— 16 km/h
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Q. If a boat can travel 30 km upstream in 5 hours, what is the speed of the current if the speed of the boat in still water is 8 km/h?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
Show solution
Solution
Speed upstream = Distance/Time = 30 km / 5 h = 6 km/h. Speed of current = Speed of boat in still water - Speed upstream = 8 km/h - 6 km/h = 2 km/h.
Correct Answer:
A
— 2 km/h
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