Quantitative Aptitude & Reasoning

My Learning Cart

Quantitative Aptitude & Reasoning

Download Q&A

Quantitative Aptitude & Reasoning MCQ & Objective Questions

Quantitative Aptitude & Reasoning is a crucial component of many school and competitive exams in India. Mastering this subject not only enhances your problem-solving skills but also boosts your confidence during exams. Practicing MCQs and objective questions helps you familiarize yourself with the exam format and improves your ability to tackle important questions efficiently. Regular practice is key to achieving higher scores in your exam preparation.

What You Will Practise Here

Basic Arithmetic Operations and their applications
Number Series and Patterns
Percentage, Ratio, and Proportion
Time, Speed, and Distance problems
Data Interpretation and Analysis
Logical Reasoning and Puzzles
Algebraic Expressions and Equations

Exam Relevance

Quantitative Aptitude & Reasoning is a significant part of various examinations, including CBSE, State Boards, NEET, and JEE. In these exams, you can expect questions that test your analytical skills and numerical ability. Common question patterns include multiple-choice questions that require quick calculations and logical deductions, making it essential to practice regularly to excel.

Common Mistakes Students Make

Misinterpreting the question requirements, leading to incorrect answers.
Overlooking the importance of units in measurement problems.
Failing to apply the correct formulas in different scenarios.
Rushing through calculations, resulting in careless mistakes.

FAQs

Question: What are the best strategies for solving Quantitative Aptitude MCQs?
Answer: Focus on understanding the concepts, practice regularly, and learn to manage your time effectively during exams.

Question: How can I improve my reasoning skills for competitive exams?
Answer: Engage in regular practice with a variety of reasoning questions and puzzles to enhance your logical thinking.

Start your journey towards mastering Quantitative Aptitude & Reasoning today! Solve practice MCQs and test your understanding to ensure you are well-prepared for your exams. Your success is just a question away!

Algebra & Number Theory Arithmetic Aptitude Data Interpretation Geometry & Mensuration Logical Reasoning

Q. A circle has a radius of 3 cm. What is its area?

A. 28.26 cm²
B. 18.84 cm²
C. 31.42 cm²
D. 12.56 cm²

Solution

Area = π × radius² = π × (3 cm)² ≈ 28.26 cm².

Correct Answer: A — 28.26 cm²

Q. A company has 200 employees. 60% are male and the rest are female. How many female employees are there?

A. 80
B. 100
C. 120
D. 60

Solution

60% of 200 is 120 (male), so 200 - 120 = 80 (female).

Correct Answer: A — 80

Q. A container has 60 liters of a solution that is 15% acid. If 10 liters of the solution is removed and replaced with water, what is the new percentage of acid?

A. 10%
B. 12%
C. 15%
D. 18%

Solution

Acid removed = 15% of 10L = 1.5L. Remaining acid = 9L. New total = 60L. New percentage = (9/60) * 100 = 15%.

Correct Answer: B — 12%

Q. A container has 60 liters of a solution that is 40% acid. If 15 liters of the solution is removed and replaced with water, what is the new percentage of acid?

A. 30%
B. 35%
C. 40%
D. 25%

Solution

Acid removed = 40% of 15L = 6L. Remaining acid = 24L, new total = 60L, new acid % = (24/60)*100 = 40%.

Correct Answer: B — 35%

Q. A cube has a side length of 4 cm. What is its volume?

A. 16 cm³
B. 32 cm³
C. 64 cm³
D. 48 cm³

Solution

Volume = s³ = 4³ = 64 cm³.

Correct Answer: C — 64 cm³

Q. A cyclist covers a distance of 30 km in 1.5 hours. What is the average speed in km/h?

A. 18 km/h
B. 20 km/h
C. 22 km/h
D. 25 km/h

Solution

Average Speed = Total Distance / Total Time = 30 km / 1.5 h = 20 km/h.

Correct Answer: B — 20 km/h

Q. A cyclist covers a distance of 45 km in 1.5 hours. What is the average speed?

A. 25 km/h
B. 30 km/h
C. 35 km/h
D. 40 km/h

Solution

Average Speed = Total Distance / Total Time = 45 km / 1.5 h = 30 km/h.

Correct Answer: B — 30 km/h

Q. A cyclist travels at a speed of 15 km/h. How far can he travel in 3 hours?

A. 30 km
B. 45 km
C. 60 km
D. 75 km

Solution

Distance = Speed × Time = 15 km/h × 3 h = 45 km

Correct Answer: C — 60 km

Q. A fruit seller has a ratio of apples to oranges as 3:2. If he has 30 apples, how many oranges does he have?

A. 20
B. 25
C. 15
D. 10

Solution

Let the number of oranges be x. The ratio gives us 30/x = 3/2. Cross-multiplying gives 3x = 60, so x = 20.

Correct Answer: A — 20

Q. A fruit seller has a ratio of apples to oranges as 3:2. If he has 60 apples, how many oranges does he have?

A. 40
B. 30
C. 50
D. 20

Solution

Let the number of oranges be x. The ratio gives us 3/2 = 60/x. Cross-multiplying gives 3x = 120, so x = 40.

Correct Answer: A — 40

Q. A invests $2000 at a rate of 5% per annum simple interest. How much interest will he earn in 3 years?

A. $300
B. $200
C. $150
D. $100

Solution

Simple Interest = Principal * Rate * Time / 100 = 2000 * 5 * 3 / 100 = $300.

Correct Answer: A — $300

Q. A line graph shows the temperature over a week: Monday (20°C), Tuesday (22°C), Wednesday (19°C), Thursday (21°C), Friday (23°C). What is the highest temperature recorded?

A. 20°C
B. 22°C
C. 23°C
D. 21°C

Solution

The highest temperature recorded is 23°C on Friday.

Correct Answer: C — 23°C

Q. A loan of $1,500 is taken at a compound interest rate of 6% per annum. What will be the amount after 2 years?

A. $1,686
B. $1,800
C. $1,900
D. $2,000

Solution

Amount = Principal * (1 + Rate)^Time = 1500 * (1 + 0.06)^2 = 1500 * 1.1236 = $1,686

Correct Answer: A — $1,686

Q. A loan of $2000 is taken at a rate of 6% per annum. What will be the compound interest after 2 years?

A. $240
B. $252
C. $300
D. $280

Solution

Compound Interest = P(1 + r/n)^(nt) - P = 2000(1 + 0.06)^2 - 2000 = 2000(1.1236) - 2000 = 252.

Correct Answer: B — $252

Q. A loan of $2000 is taken for 3 years at a simple interest rate of 7%. What is the total interest paid?

A. $280
B. $300
C. $350
D. $420

Solution

SI = (P * r * t) / 100 = (2000 * 7 * 3) / 100 = $420.

Correct Answer: A — $280

Q. A loan of $5000 is taken at a compound interest rate of 6% per annum. What will be the amount after 2 years?

A. $5630
B. $6000
C. $6760
D. $7000

Solution

Amount = Principal × (1 + Rate)^Time = 5000 × (1 + 0.06)^2 = 5000 × 1.1236 = $5618.

Correct Answer: C — $6760

Q. A loan of $8000 is taken at a simple interest rate of 7% per annum. What will be the total amount to be paid back after 4 years?

A. $9600
B. $8800
C. $8400
D. $8000

Solution

Total Amount = Principal + SI = 8000 + (8000 × 7 × 4 / 100) = 8000 + 2240 = $10240.

Correct Answer: B — $8800

Q. A man bought a bicycle for $300 and sold it for $360. What is his profit percentage?

A. 15%
B. 20%
C. 25%
D. 30%

Solution

Profit = Selling Price - Cost Price = 360 - 300 = 60. Profit Percentage = (Profit/Cost Price) * 100 = (60/300) * 100 = 20%.

Correct Answer: B — 20%

Q. A man bought a bicycle for $500 and sold it for $600. What is the percentage profit?

A. 20%
B. 25%
C. 30%
D. 15%

Solution

Profit = Selling Price - Cost Price = 600 - 500 = 100. Percentage Profit = (Profit / Cost Price) * 100 = (100 / 500) * 100 = 20%.

Correct Answer: B — 25%

Q. A man bought a watch for $200 and sold it at a loss of 10%. What is the selling price?

A. $180
B. $190
C. $200
D. $210

Solution

Loss = 10% of 200 = 20. Selling Price = Cost Price - Loss = 200 - 20 = 180.

Correct Answer: A — $180

Q. A man bought two articles for $300 and $500. If he sells both for $600 each, what is his overall profit percentage?

A. 25%
B. 20%
C. 30%
D. 15%

Solution

Total Cost Price = 300 + 500 = 800. Total Selling Price = 600 + 600 = 1200. Profit = 1200 - 800 = 400. Profit Percentage = (400/800) * 100 = 50%.

Correct Answer: B — 20%

Q. A man can complete a task in 15 days. If he works for 5 days, what percentage of the task is completed?

A. 25%
B. 30%
C. 33.33%
D. 20%

Solution

Work done in 5 days = 5/15 = 1/3. Percentage completed = (1/3) * 100 = 33.33%.

Correct Answer: C — 33.33%

Q. A man can complete a work in 10 days. If he works for 3 days, what fraction of the work is left?

A. 1/3
B. 1/2
C. 2/5
D. 1/5

Solution

Work done in 3 days = 3/10. Work left = 1 - 3/10 = 7/10.

Correct Answer: A — 1/3

Q. A man sells a bicycle for $300 at a profit of 20%. What was the cost price of the bicycle?

A. $240
B. $250
C. $260
D. $270

Solution

Let Cost Price = x. Selling Price = x + 20% of x = 1.2x. 1.2x = 300. x = 300/1.2 = 250.

Correct Answer: A — $240

Q. A man sells a book for $80, making a profit of 60%. What was the cost price of the book?

A. $50
B. $40
C. $60
D. $70

Solution

Let Cost Price = x. Selling Price = x + 60% of x = 1.6x. 1.6x = 80. x = 80/1.6 = 50.

Correct Answer: B — $40

Q. A man spends 30% of his salary on rent and 20% on groceries. If his salary is $2000, how much does he spend on groceries?

A. $400
B. $300
C. $500
D. $600

Solution

Amount spent on groceries = 20% of 2000 = 0.2 * 2000 = $400.

Correct Answer: A — $400

Q. A merchant sells two articles for $500 each. If he makes a profit of 10% on one and a loss of 10% on the other, what is his overall profit or loss?

A. Loss of $5
B. Profit of $5
C. No profit no loss
D. Loss of $10

Solution

Cost Price of first = 500/1.1 = 454.55, Selling Price = 500. Cost Price of second = 500/0.9 = 555.56, Selling Price = 500. Total Cost Price = 454.55 + 555.56 = 1010.11, Total Selling Price = 1000. Loss = 1010.11 - 1000 = 10.11.

Correct Answer: A — Loss of $5

Q. A mixture contains 30% alcohol and 70% water. If 20 liters of the mixture is taken out and replaced with water, what is the new percentage of alcohol in the mixture?

A. 25%
B. 28%
C. 30%
D. 32%

Solution

Initial alcohol = 30% of 20L = 6L. Remaining alcohol = 30L - 6L = 24L. New mixture = 24L + 20L = 44L. New percentage of alcohol = (24/44) * 100 = 54.55%.

Correct Answer: B — 28%

Q. A mixture of two liquids A and B is in the ratio 5:3. If the total volume of the mixture is 64 liters, how much liquid A is there?

A. 40 liters
B. 32 liters
C. 30 liters
D. 36 liters

Solution

Total parts = 5 + 3 = 8. Volume of A = (5/8) * 64 = 40 liters.

Correct Answer: A — 40 liters

Q. A mixture of two types of fruit juice contains 30% orange juice and 70% apple juice. If 5 liters of apple juice is added, what is the new percentage of orange juice in the mixture?

A. 25%
B. 30%
C. 35%
D. 40%

Solution

Initial volume = 10L. Orange juice = 3L. New volume = 15L. New percentage = (3/15) * 100 = 20%.

Correct Answer: A — 25%

|<
<
1
2
3
4
5
6
7
8
9
>
>|

Showing 31 to 60 of 565 (19 Pages)

School

College

Degree

Competitve

Skills

Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely