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. A and B started a business with investments of $10,000 and $15,000 respectively. What is the ratio of their profits after one year?
A.
2:3
B.
3:2
C.
5:3
D.
3:5
Show solution
Solution
The ratio of their investments is 10000:15000 = 2:3. Therefore, the profit ratio is also 2:3.
Correct Answer:
A
— 2:3
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Q. A bag contains 3 red balls and 2 blue balls. What is the probability of drawing a red ball?
A.
0.3
B.
0.4
C.
0.6
D.
0.5
Show solution
Solution
The total number of balls is 3 + 2 = 5. The probability of drawing a red ball is 3/5 = 0.6.
Correct Answer:
C
— 0.6
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Q. A bag contains 5 red balls and 3 blue balls. If the average weight of the red balls is 200 grams and the blue balls is 150 grams, what is the average weight of all the balls?
A.
175
B.
180
C.
185
D.
190
Show solution
Solution
Total weight of red balls = 5 * 200 = 1000 grams. Total weight of blue balls = 3 * 150 = 450 grams. Total weight = 1000 + 450 = 1450 grams. Average weight = 1450 / 8 = 181.25.
Correct Answer:
B
— 180
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Q. A bag contains 7 apples and 3 oranges. What is the probability of picking an orange?
A.
1/3
B.
3/10
C.
3/7
D.
1/4
Show solution
Solution
Total fruits = 7 + 3 = 10. Probability of orange = 3/10.
Correct Answer:
A
— 1/3
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Q. A bag contains red and blue balls in the ratio of 2:3. If there are 30 blue balls, how many red balls are there?
Show solution
Solution
Let red balls be 2x and blue balls be 3x. Given 3x = 30, x = 10. Therefore, red balls = 2x = 2*10 = 20.
Correct Answer:
A
— 20
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Q. A bank offers 5% interest per annum. If you invest $1,000, how much interest will you earn in 3 years?
A.
150
B.
100
C.
200
D.
250
Show solution
Solution
Simple interest = Principal * Rate * Time = $1,000 * 5/100 * 3 = $150.
Correct Answer:
B
— 100
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Q. A bank offers 5% simple 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 * 0.05 * 3 = 300.
Correct Answer:
A
— 300
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Q. A bicycle covers a distance of 90 km in 3 hours. What is its average speed?
A.
25 km/h
B.
30 km/h
C.
35 km/h
D.
40 km/h
Show solution
Solution
Average speed = Total distance / Total time = 90 km / 3 h = 30 km/h.
Correct Answer:
B
— 30 km/h
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Q. A bicycle is bought for $150 and sold for $120. What is the loss percentage?
A.
20%
B.
15%
C.
10%
D.
25%
Show solution
Solution
Loss = Cost Price - Selling Price = 150 - 120 = 30. Loss Percentage = (Loss/Cost Price) * 100 = (30/150) * 100 = 20%.
Correct Answer:
A
— 20%
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Q. A bicycle is bought for $200 and sold for $180. What is the loss percentage?
A.
10%
B.
15%
C.
20%
D.
5%
Show solution
Solution
Loss = Cost Price - Selling Price = 200 - 180 = 20. Loss Percentage = (Loss/Cost Price) * 100 = (20/200) * 100 = 10%.
Correct Answer:
A
— 10%
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Q. A bicycle is bought for $200 and sold for $240. What is the gain percentage?
A.
15%
B.
20%
C.
25%
D.
30%
Show solution
Solution
Gain = Selling Price - Cost Price = 240 - 200 = 40. Gain Percentage = (Gain/Cost Price) * 100 = (40/200) * 100 = 20%.
Correct Answer:
B
— 20%
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Q. A bill of $1500 has a Banker's Discount of $45. What is the rate of interest for 6 months?
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Solution
Rate = (BD x 100) / (Principal x Time) = (45 x 100) / (1500 x 6/12) = 6%
Correct Answer:
A
— 5%
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Q. A bill of Rs. 10000 is discounted at 5% per annum for 1 year. What is the bankers' discount?
A.
Rs. 500
B.
Rs. 600
C.
Rs. 700
D.
Rs. 800
Show solution
Solution
Bankers' Discount = (10000 × 5 × 1) / 100 = Rs. 500.
Correct Answer:
A
— Rs. 500
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Q. A bill of Rs. 10000 is due in 1 year. If the Banker's Discount is Rs. 800, what is the rate of interest?
A.
8%
B.
10%
C.
12%
D.
15%
Show solution
Solution
Banker's Discount = (Face Value * Rate * Time) / 100. 800 = (10000 * Rate * 1) / 100. Rate = 8%.
Correct Answer:
B
— 10%
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Q. A bill of Rs. 12000 is discounted at 12% per annum for 9 months. What is the bankers' discount?
A.
Rs. 900
B.
Rs. 1200
C.
Rs. 1000
D.
Rs. 800
Show solution
Solution
Bankers' Discount = (12000 × 12 × 0.75) / 100 = Rs. 900.
Correct Answer:
B
— Rs. 1200
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Q. A bill of Rs. 12000 is due in 5 months. If the Banker's Discount is Rs. 200, what is the rate of interest?
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Solution
Rate = (Banker's Discount * 100) / (Face Value * Time) = (200 * 100) / (12000 * 5/12) = 5%
Correct Answer:
B
— 5%
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Q. A bill of Rs. 12000 is due in 9 months. Calculate the Banker's Discount at the rate of 15% per annum.
A.
Rs. 450
B.
Rs. 300
C.
Rs. 600
D.
Rs. 900
Show solution
Solution
Banker's Discount = (12000 × 15 × 0.75) / 100 = Rs. 1350.
Correct Answer:
C
— Rs. 600
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Q. A bill of Rs. 12000 is due in 9 months. If the bankers' discount is Rs. 900, what is the rate of interest?
A.
10%
B.
12%
C.
15%
D.
18%
Show solution
Solution
Rate = (BD × 100) / (Principal × Time) = (900 × 100) / (12000 × 0.75) = 12%.
Correct Answer:
B
— 12%
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Q. A bill of Rs. 15000 is due in 2 months. What is the Banker's Discount at 9% per annum?
A.
Rs. 225
B.
Rs. 300
C.
Rs. 450
D.
Rs. 375
Show solution
Solution
Banker's Discount = (15000 * 9 * 2/12) / 100 = Rs. 225
Correct Answer:
A
— Rs. 225
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Q. A bill of Rs. 15000 is due in 3 months. If the bankers' discount is Rs. 450, what is the rate of interest?
A.
9%
B.
10%
C.
12%
D.
15%
Show solution
Solution
Rate = (BD × 100) / (Principal × Time) = (450 × 100) / (15000 × 0.25) = 12%.
Correct Answer:
B
— 10%
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Q. A bill of Rs. 15000 is due in 3 months. What is the Banker's Discount at the rate of 8% per annum?
A.
Rs. 300
B.
Rs. 400
C.
Rs. 200
D.
Rs. 600
Show solution
Solution
Banker's Discount = (15000 × 8 × 0.25) / 100 = Rs. 300.
Correct Answer:
B
— Rs. 400
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Q. A bill of Rs. 18000 is discounted at 10% per annum for 1 month. What is the Banker's Discount?
A.
Rs. 150
B.
Rs. 180
C.
Rs. 200
D.
Rs. 220
Show solution
Solution
Banker's Discount = (18000 * 10 * 1/12) / 100 = Rs. 150
Correct Answer:
A
— Rs. 150
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Q. A bill of Rs. 18000 is due in 4 months. What is the Banker's Discount at the rate of 9% per annum?
A.
Rs. 540
B.
Rs. 360
C.
Rs. 720
D.
Rs. 450
Show solution
Solution
Banker's Discount = (18000 × 9 × (4/12)) / 100 = Rs. 540.
Correct Answer:
B
— Rs. 360
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Q. A bill of Rs. 20000 is due in 1 year. If the bankers' discount is Rs. 1600, what is the effective rate of interest?
A.
8%
B.
10%
C.
12%
D.
14%
Show solution
Solution
Effective Rate = (BD × 100) / (Face Value × Time) = (1600 × 100) / (20000 × 1) = 8%.
Correct Answer:
A
— 8%
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Q. A bill of Rs. 20000 is due in 3 months. If the Banker's Discount is Rs. 300, what is the effective interest rate?
Show solution
Solution
Effective Interest = (Banker's Discount / Face Value) * (12 / Time) = (300 / 20000) * (12 / 3) = 4%
Correct Answer:
A
— 4%
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Q. A bill of Rs. 25000 is discounted at 5% per annum for 3 months. What is the bankers' discount?
A.
Rs. 312.5
B.
Rs. 625
C.
Rs. 500
D.
Rs. 750
Show solution
Solution
Bankers' Discount = (25000 × 5 × 0.25) / 100 = Rs. 312.5.
Correct Answer:
B
— Rs. 625
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Q. A bill of Rs. 25000 is due in 1 year. Calculate the Banker's Discount at the rate of 5% per annum.
A.
Rs. 1250
B.
Rs. 1000
C.
Rs. 1500
D.
Rs. 2000
Show solution
Solution
Banker's Discount = (25000 × 5 × 1) / 100 = Rs. 1250.
Correct Answer:
A
— Rs. 1250
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Q. A bill of Rs. 25000 is due in 1 year. If the Banker's Discount is Rs. 2000, what is the rate of interest?
A.
8%
B.
10%
C.
12%
D.
15%
Show solution
Solution
Rate = (Banker's Discount * 100) / (Face Value * Time) = (2000 * 100) / (25000 * 1) = 8%
Correct Answer:
B
— 10%
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Q. A bill of Rs. 4000 is due in 2 months. What is the Banker's Discount at the rate of 5% per annum?
A.
Rs. 33.33
B.
Rs. 20
C.
Rs. 50
D.
Rs. 40
Show solution
Solution
Banker's Discount = (4000 * 5 * 2/12) / 100 = Rs. 33.33.
Correct Answer:
A
— Rs. 33.33
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Q. A bill of Rs. 5000 is due in 2 months. What is the Banker's Discount at 10% per annum?
A.
Rs. 83.33
B.
Rs. 100
C.
Rs. 200
D.
Rs. 250
Show solution
Solution
Banker's Discount = (Face Value * Rate * Time) / 100 = (5000 * 10 * 2/12) = Rs. 83.33
Correct Answer:
A
— Rs. 83.33
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