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 student scores 80, 90, and 70 in three subjects. What is his average score?
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Solution
Average = (80 + 90 + 70) / 3 = 240 / 3 = 80.
Correct Answer:
B
— 85
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Q. A student scores 80, 90, and 70 in three subjects. What is the average score?
Show solution
Solution
Average = (80 + 90 + 70) / 3 = 240 / 3 = 80.
Correct Answer:
B
— 85
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Q. A student scores 80, 90, and 70 in three subjects. What score does he need in the fourth subject to achieve an average of 85?
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Solution
Total score needed for average of 85 = 4 * 85 = 340. Current total = 80 + 90 + 70 = 240. Score needed = 340 - 240 = 100.
Correct Answer:
B
— 95
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Q. A student scores 80, 90, and 70 in three subjects. What score does he need in the fourth subject to have an average of 85?
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Solution
Let the score in the fourth subject be x. The average is (80 + 90 + 70 + x) / 4 = 85. Thus, 240 + x = 340, so x = 100.
Correct Answer:
B
— 95
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Q. A sum of $10000 is borrowed for 5 years. If the Banker's Discount is $2500, what is the effective interest rate?
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Solution
Effective Interest Rate = (Banker's Discount / Principal) × 100 = (2500 / 10000) × 100 = 25%.
Correct Answer:
D
— 8%
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Q. A sum of $12000 is due in 5 years. If the bankers discount is $3000, what is the rate of interest?
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Solution
Bankers Discount = Principal - Present Value. Present Value = 12000 - 3000 = 9000. Rate = (3000 × 100) / (12000 × 5) = 5%.
Correct Answer:
B
— 6%
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Q. A sum of $1500 is due in 3 years. If the Banker's Discount is $225, what is the rate of interest?
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Solution
Rate = (Banker's Discount / (Principal × Time)) × 100 = (225 / (1500 × 3)) × 100 = 5%.
Correct Answer:
B
— 5%
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Q. A sum of $1500 is due in 4 years. If the banker's discount is $240 at 6% per annum, what is the present worth?
A.
$1260
B.
$1300
C.
$1400
D.
$1500
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Solution
Banker's Discount = P × R × T / 100. 240 = P × 6 × 4 / 100. P = $1260.
Correct Answer:
A
— $1260
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Q. A sum of $1500 is due in 5 years. If the Banker's Discount is $300, what is the rate of interest?
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Solution
Banker's Discount = Principal x Rate x Time; 300 = 1500 x Rate x 5; Rate = 4%.
Correct Answer:
B
— 5%
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Q. A sum of $1500 is invested at a simple interest rate of 4% per annum. How much interest will be earned in 5 years?
A.
$200
B.
$300
C.
$250
D.
$150
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Solution
Simple Interest = (1500 * 4 * 5) / 100 = $300.
Correct Answer:
B
— $300
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Q. A sum of $2000 is due in 3 years. If the true discount is $300, what is the rate of interest?
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Solution
Present Worth = 2000 - 300 = 1700. Using the formula, 300 = 1700 * r * 3 / 100. Solving gives r = 5.29%.
Correct Answer:
B
— 5%
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Q. A sum of $2000 is due in 4 years. If the true discount is $400, what is the rate of interest per annum?
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Solution
True Discount = Amount - Present Worth. Present Worth = 2000 - 400 = $1600. Using the formula, 400 = 1600 * Rate * 4 / 100. Solving gives Rate = 6.25%.
Correct Answer:
A
— 5%
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Q. A sum of $2500 is due in 3 years. If the banker's discount is $300 at 4% per annum, what is the present worth?
A.
$2200
B.
$2300
C.
$2400
D.
$2500
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Solution
Banker's Discount = P × R × T / 100. 300 = P × 4 × 3 / 100. P = $2400.
Correct Answer:
C
— $2400
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Q. A sum of $2500 is due in 3 years. If the Banker's Discount is $300, what is the rate of interest?
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Solution
Rate = (Banker's Discount / (Principal × Time)) × 100 = (300 / (2500 × 3)) × 100 = 4%.
Correct Answer:
B
— 5%
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Q. A sum of $2500 is due in 3 years. If the Banker's Discount is $450, what is the rate of interest?
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Solution
Rate = (Banker's Discount / (Principal × Time)) × 100 = (450 / (2500 × 3)) × 100 = 6%.
Correct Answer:
B
— 6%
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Q. A sum of $25000 is due in 2 years. If the bankers discount is $5000, what is the rate of interest?
A.
8%
B.
10%
C.
12%
D.
15%
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Solution
Rate = (5000 × 100) / (25000 × 2) = 10%.
Correct Answer:
B
— 10%
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Q. A sum of $3000 is due in 2 years. If the rate of interest is 6% per annum, what is the true discount?
A.
$200
B.
$300
C.
$400
D.
$500
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Solution
Present Worth = Amount / (1 + rt) = 3000 / (1 + 0.06*2) = 3000 / 1.12 = $2678.57. True Discount = 3000 - 2678.57 = $321.43.
Correct Answer:
B
— $300
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Q. A sum of $3000 is invested at a compound interest rate of 7% per annum. What will be the total amount after 5 years?
A.
$4200.00
B.
$4205.00
C.
$4210.00
D.
$4215.00
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Solution
Total Amount = 3000(1 + 0.07)^5 = 3000(1.402552) = 4207.66
Correct Answer:
C
— $4210.00
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Q. A sum of $3000 is invested at a compound interest rate of 7% per annum. What will be the amount after 5 years?
A.
$4210.00
B.
$4000.00
C.
$4500.00
D.
$4100.00
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Solution
Total Amount = 3000(1 + 0.07)^5 = 3000(1.402552) = 4207.66
Correct Answer:
A
— $4210.00
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Q. A sum of $4000 is borrowed for 2 years at a Banker's Discount of $320. What is the rate of interest?
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Solution
Rate = (Banker's Discount / (Principal × Time)) × 100 = (320 / (4000 × 2)) × 100 = 4%.
Correct Answer:
C
— 6%
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Q. A sum of $4000 is borrowed for 2 years at a Banker's Discount of $800. What is the effective interest rate?
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Solution
Effective interest rate = (Banker's Discount / Principal) × (1 / Time) × 100 = (800 / 4000) × (1 / 2) × 100 = 4%.
Correct Answer:
B
— 6%
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Q. A sum of $4000 is borrowed for 3 years at a Banker's Discount of 9%. What is the total discount?
A.
$1080
B.
$720
C.
$360
D.
$540
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Solution
Banker's Discount = 4000 x 9/100 x 3 = $1080.
Correct Answer:
A
— $1080
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Q. A sum of $5000 is borrowed for 2 years at a Banker's Discount of $400. What is the rate of interest?
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Solution
Rate = (Banker's Discount / (Principal × Time)) × 100 = (400 / (5000 × 2)) × 100 = 4%.
Correct Answer:
B
— 5%
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Q. A sum of $5000 is due in 2 years. What is the bankers discount at the rate of 10%?
A.
$100
B.
$200
C.
$300
D.
$400
Show solution
Solution
Bankers Discount = (Principal × Rate × Time) / 100 = (5000 × 10 × 2) / 100 = $1000. The present value is $5000 / (1 + 0.10)^2 = $4132.23. Therefore, Bankers Discount = $5000 - $4132.23 = $867.77.
Correct Answer:
B
— $200
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Q. A sum of $5000 is due in 3 years. If the rate of interest is 5% per annum, what is the true discount?
A.
$500
B.
$600
C.
$700
D.
$800
Show solution
Solution
True Discount = Amount - Present Worth. Present Worth = Amount / (1 + rt) = 5000 / (1 + 0.05*3) = 5000 / 1.15 = $4347.83. True Discount = 5000 - 4347.83 = $652.17.
Correct Answer:
A
— $500
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Q. A sum of $6000 is due in 2 years. If the Banker's Discount is $720, what is the rate of interest?
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Solution
Rate = (Banker's Discount / (Principal × Time)) × 100 = (720 / (6000 × 2)) × 100 = 6%.
Correct Answer:
B
— 6%
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Q. A sum of $6000 is due in 3 years. If the Banker's Discount is $540, what is the rate of interest?
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Solution
Rate = (Banker's Discount / (Principal × Time)) × 100 = (540 / (6000 × 3)) × 100 = 3%.
Correct Answer:
B
— 9%
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Q. A sum of $800 is due in 2 years. If the true discount is $160, what is the rate of interest per annum?
A.
8%
B.
10%
C.
12%
D.
15%
Show solution
Solution
True Discount = Amount - Present Worth. Present Worth = 800 - 160 = $640. Using the formula, 160 = 640 * Rate * 2 / 100. Solving gives Rate = 12.5%.
Correct Answer:
B
— 10%
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Q. A sum of $800 is due in 2 years. If the true discount is $160, what is the rate of interest?
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Solution
True Discount = Amount - Present Worth. Present Worth = 800 - 160 = 640. Using the formula, 160 = 640 * r * 2 / 100. Solving gives r = 12.5%.
Correct Answer:
C
— 7%
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Q. A sum of money amounts to $1200 in 2 years at a rate of 8% per annum. What is the true discount?
A.
$100
B.
$120
C.
$150
D.
$180
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Solution
Present Worth = Amount / (1 + rt) = 1200 / (1 + 0.08*2) = 1200 / 1.16 = $1034.48. True Discount = 1200 - 1034.48 = $165.52.
Correct Answer:
B
— $120
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