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. C and D invest in a business in the ratio of 1:4. If the total profit is $5000, how much does D receive?
A.
$4000
B.
$3000
C.
$2000
D.
$1000
Show solution
Solution
Total parts = 1 + 4 = 5. D's share = (4/5) * 5000 = $4000.
Correct Answer:
A
— $4000
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Q. C and D invest in a business in the ratio of 4:5. If D's investment is $4500, what is C's investment?
A.
$3600
B.
$4000
C.
$4500
D.
$5000
Show solution
Solution
If D's investment is $4500 and the ratio is 4:5, then C's investment = (4/5) * 4500 = $3600.
Correct Answer:
A
— $3600
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Q. C and D invest in a business in the ratio of 4:5. If the total profit is $4500, how much does D receive?
A.
$2500
B.
$2000
C.
$3000
D.
$1500
Show solution
Solution
Total parts = 4 + 5 = 9. D's share = (5/9) * 4500 = $2500.
Correct Answer:
A
— $2500
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Q. C and D invest in a business with C investing $5000 and D investing $15000. If they earn a profit of $6000, how much profit does C receive?
A.
$1000
B.
$1500
C.
$2000
D.
$2500
Show solution
Solution
Total investment = 5000 + 15000 = 20000. C's share = (5000/20000) * 6000 = $1500.
Correct Answer:
C
— $2000
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Q. C and D invest in a business with C investing $7000 and D investing $3000. If they incur a loss of $200, how much does C lose?
A.
$140
B.
$100
C.
$60
D.
$80
Show solution
Solution
Total investment = 7000 + 3000 = 10000. C's share of loss = (7000/10000) * 200 = $140.
Correct Answer:
A
— $140
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Q. C and D invest in a business with C investing $7000 and D investing $3000. If they earn a profit of $2000, how much profit does D receive?
A.
$600
B.
$800
C.
$400
D.
$500
Show solution
Solution
Total investment = 7000 + 3000 = 10000. D's share = (3000/10000) * 2000 = $600.
Correct Answer:
B
— $800
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Q. C and D invest in a business with C investing $8000 and D investing $12000. If they earn a profit of $6000, what is C's share of the profit?
A.
$2000
B.
$2400
C.
$3000
D.
$1800
Show solution
Solution
Total investment = 8000 + 12000 = $20000. C's share = (8000/20000) * 6000 = $2400.
Correct Answer:
B
— $2400
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Q. C and D invest in a partnership with C investing $12000 and D investing $18000. If the total profit is $3000, how much does D receive?
A.
$1200
B.
$1800
C.
$2000
D.
$1500
Show solution
Solution
Total investment = 12000 + 18000 = $30000. D's share = (18000/30000) * 3000 = $1800.
Correct Answer:
B
— $1800
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Q. C and D invest in a partnership with C investing $12000 and D investing $18000. If the total profit is $3000, what is D's share of the profit?
A.
$1200
B.
$1800
C.
$2000
D.
$1500
Show solution
Solution
Total investment = 12000 + 18000 = $30000. D's share = (18000/30000) * 3000 = $1800.
Correct Answer:
B
— $1800
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Q. C and D invest in a partnership with C investing $12000 and D investing $18000. If they make a profit of $3000, how much does D receive?
A.
$1500
B.
$2000
C.
$2500
D.
$3000
Show solution
Solution
Total investment = 12000 + 18000 = $30000. D's share = (18000/30000) * 3000 = $1800.
Correct Answer:
B
— $2000
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Q. C, D, and E invest in a business in the ratio 1:2:3. If the total profit is $12,000, how much does D receive?
A.
$2,000
B.
$4,000
C.
$6,000
D.
$8,000
Show solution
Solution
Total parts = 1 + 2 + 3 = 6. D's share = (2/6) * 12000 = $4,000.
Correct Answer:
C
— $6,000
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Q. Calculate the area of a circle with a radius of 7 cm (use π = 22/7).
A.
154 cm²
B.
44 cm²
C.
77 cm²
D.
88 cm²
Show solution
Solution
Area = πr² = (22/7) × (7 cm)² = 154 cm².
Correct Answer:
A
— 154 cm²
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Q. Calculate the area of a circle with a radius of 7 cm (use π ≈ 3.14).
A.
38.48 cm²
B.
43.96 cm²
C.
153.86 cm²
D.
154 cm²
Show solution
Solution
Area = π × radius² = 3.14 × (7 cm)² = 3.14 × 49 cm² = 153.86 cm².
Correct Answer:
C
— 153.86 cm²
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Q. Calculate the area of a rectangle with a length of 15 m and a width of 10 m.
A.
150 m²
B.
140 m²
C.
160 m²
D.
130 m²
Show solution
Solution
Area = length × width = 15 m × 10 m = 150 m².
Correct Answer:
A
— 150 m²
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Q. Calculate the area of a sector with a radius of 5 cm and a central angle of 60 degrees.
A.
13.09 cm²
B.
15.71 cm²
C.
20.93 cm²
D.
25.00 cm²
Show solution
Solution
Area = (θ/360) × π × r² = (60/360) × 3.14 × (5 cm)² = 13.09 cm².
Correct Answer:
A
— 13.09 cm²
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Q. Calculate the Banker's Discount on a loan of $1200 for 6 months at an interest rate of 5%.
A.
$30.00
B.
$25.00
C.
$20.00
D.
$15.00
Show solution
Solution
Banker's Discount = (1200 x 5 x 6/12) / 100 = $30.00
Correct Answer:
B
— $25.00
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Q. Calculate the compound interest on $5000 at a rate of 6% per annum for 4 years.
A.
$1272.48
B.
$1200.00
C.
$1300.00
D.
$1400.00
Show solution
Solution
Compound Interest = P(1 + r/n)^(nt) - P = 5000(1 + 0.06/1)^(1*4) - 5000 = 5000(1.262477) - 5000 = 1272.48
Correct Answer:
A
— $1272.48
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Q. Calculate the maturity value of a bill of $4000 with a Banker's Discount of $200 for 6 months.
A.
$3800
B.
$4000
C.
$4200
D.
$4400
Show solution
Solution
Maturity Value = Principal + BD = 4000 + 200 = $4200
Correct Answer:
C
— $4200
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Q. Convert 0.125 to a fraction.
A.
1/8
B.
1/4
C.
1/2
D.
3/8
Show solution
Solution
0.125 = 125/1000 = 1/8 after simplification.
Correct Answer:
A
— 1/8
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Q. Convert 0.2 to a fraction.
A.
1/5
B.
1/4
C.
1/2
D.
2/5
Show solution
Solution
0.2 = 2/10 = 1/5 after simplification.
Correct Answer:
A
— 1/5
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Q. E is 5 years older than F. If F is 15 years old, how old is E?
Show solution
Solution
If F is 15 years old, then E is 15 + 5 = 20 years old.
Correct Answer:
B
— 20
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Q. E is 5 years older than F. If the sum of their ages is 45 years, what is E's age?
Show solution
Solution
Let F's age be x. Then E's age is x + 5. So, x + (x + 5) = 45. Solving gives x = 20, hence E = 25.
Correct Answer:
C
— 25
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Q. Find the area of a parallelogram with a base of 12 cm and a height of 5 cm.
A.
50 cm²
B.
60 cm²
C.
70 cm²
D.
80 cm²
Show solution
Solution
Area = base × height = 12 cm × 5 cm = 60 cm².
Correct Answer:
B
— 60 cm²
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Q. Find the area of a rectangle with a length of 15 m and a width of 10 m.
A.
100 m²
B.
120 m²
C.
150 m²
D.
160 m²
Show solution
Solution
Area = length × width = 15 m × 10 m = 150 m².
Correct Answer:
C
— 150 m²
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Q. Find the Banker's Discount on a sum of $2000 due in 1 year at a rate of 10%.
A.
$200
B.
$150
C.
$100
D.
$250
Show solution
Solution
Banker's Discount = (2000 x 10 x 1) / 100 = $200
Correct Answer:
A
— $200
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Q. Find the H.C.F. of 45, 75, and 105.
Show solution
Solution
The H.C.F. of 45, 75, and 105 is 15.
Correct Answer:
A
— 15
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Q. Find the H.C.F. of 48, 72, and 120.
Show solution
Solution
The H.C.F. of 48, 72, and 120 is 24.
Correct Answer:
B
— 24
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Q. Find the H.C.F. of 64 and 48.
Show solution
Solution
The H.C.F. of 64 and 48 is 16.
Correct Answer:
A
— 16
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Q. Find the L.C.M. of 14, 28, and 42.
Show solution
Solution
The L.C.M. of 14, 28, and 42 is 84.
Correct Answer:
A
— 84
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Q. Find the L.C.M. of 18, 24, and 30.
A.
180
B.
120
C.
60
D.
90
Show solution
Solution
The L.C.M. of 18, 24, and 30 is 180.
Correct Answer:
A
— 180
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