Quantitative Aptitude - Topics, Questions and Answers

Physics Wallah Academic Expert
March 07, 2024

Quantitative Aptitude Questions cover a bunch of math topics like averages, percentages, and compound interests. Candidates need both math skills and logical thinking for exams related to banks, government jobs, and management programs. Solving these questions means using logic and math to figure out tricky problems, so it's important for candidates to understand the topics. 

If candidates are getting ready for government exams, check out these easy math tricks to save time when dealing with Quantitative Aptitude. If candidates want to learn more about these kinds of questions, visit our PW Store for extra resources and practice exercises.

Quantitative Aptitude

Quantitative Aptitude Questions and Answers cover various topics like averages, numbers, interests, partnerships, ages, calendars, boats, streams, clocks, heights, distance, percentages, pipes, cisterns, profit, loss, speed, time, trains, and work. These questions are helpful for exams like SSC, CAT, MAT, GMAT, GRE, UGC, UPSC, ICET, Bank PO, Defence, Railway and more.

List of Quantitative Aptitude Topics 

Here are the list of Quantitative Aptitude Topics for different exams:-

List of Quantitative Aptitude Topics 


Alligations and mixtures


Problems on Age

Averages, Mean, Median and Mode

Boat Problems

Chain rule


Data Interpretation

Games and Races

Heights and distances


Number Series


Linear Equations


Number theory

Number System – Fractions, Decimals



Permutation and Combinations

Pipes and Cisterns

Points, lines and angles


Profit and Loss


Quadratic Equations

Ratio and Proportions

Remainder theorem and unit digit

Sets and Venn Diagrams

Simple and Compound Interest

Simplification and Approximation

Speed, Distance and Time

Stocks and shares

Data Sufficiency

Surds, Indices, Exponents, and Powers

Surface area

Time and Work

Problems on Train



Work and Wages

Quantitative Aptitude Questions and Solution

Question 1: A shirt originally priced at $40 is on sale for 25% off. What is the final price?

Solution: Final Price = Original Price - (Original Price * Discount Percentage)

Final Price = $40 - ($40 * 0.25) = $40 - $10 = $30

Question 2: If a car travels at a speed of 60 miles per hour, how far will it travel in 3 hours?

Solution: Distance = Speed * Time

Distance = 60 miles/hour * 3 hours = 180 miles

Question 3: The sum of two consecutive even numbers is 46. What are the numbers?

Solution: Let the first even number be x, then the next consecutive even number is x + 2.

Equation: x + (x + 2) = 46

Solving for x: x = 22, so the numbers are 22 and 24.

Question 4: If the average of five numbers is 15, what is their sum?

Solution: Sum = Average * Number of Values

Sum = 15 * 5 = 75

Question 5: A rectangle has a length of 8 cm and a width of 5 cm. What is its area?

Solution: Area = Length * Width

Area = 8 cm * 5 cm = 40 square cm

Question 6: The ratio of boys to girls in a class is 3:2. If there are 15 girls, how many boys are there?

Solution: Let the number of boys be 3x, then the number of girls is 2x.

Equation: 2x = 15

Solving for x: x = 7.5, so there are 3 * 7.5 = 22.5 boys. Since the number of boys must be a whole number, there are 22 boys.

Question 7: If 20% of a number is 50, what is the number?

Solution: Let the number be x.

Equation: 0.20x = 50

Solving for x: x = 250

Question 8: The sum of three consecutive odd numbers is 69. Find the numbers.

Solution: Let the first odd number be x, then the next two consecutive odd numbers are x + 2 and x + 4.

Equation: x + (x + 2) + (x + 4) = 69

Solving for x: x = 21, so the numbers are 21, 23, and 25.

Question 9: If a box contains 24 chocolates and 1/4 of them are dark chocolate, how many chocolates are dark chocolates?

Solution: Dark chocolates = (1/4) * 24 = 6 chocolates

Question 10: A bike is travelling at a constant speed of 30 km/h. How long will it take to cover a distance of 150 km?

Solution: Time = Distance / Speed

Time = 150 km / 30 km/h = 5 hours

Steps to Solve Quantitative Aptitude Questions

  1. Read the Question Carefully: Make sure to understand what the question is asking.

  2. Figure Out the Problem Type: Identify what kind of problem it is, like percentages, ratios, averages, etc.

  3. Organize the Information: Arrange the given details in a clear way, maybe using a table or list.

  4. Pick the Right Formula: Choose the correct formula for the problem at hand.

  5. Plug in the Numbers: Put the given values into the formula, being careful with units.

  6. Take it Step by Step: Break the problem into smaller parts and solve each one carefully.

  7. Check Units and Accuracy: Make sure the answer has the right units and double-check calculations.

  8. Practice Mental Math: Work on doing calculations in the candidate’s head quickly and accurately.

  9. Manage Time: Allocate the time wisely among different problems, and don't hesitate to skip a tough one and come back later.

  10. Review and Learn: Look at the solution to understand the steps taken and learn from any mistakes.

  11. Regular Practice is Key: Improve skills by practising different problems regularly.

Best Books for Quantitative Aptitude

Selecting the right study materials can be overwhelming due to the abundance of options available. Moreover, purchasing separate books for each subject can strain a candidate’s budget. In response to these challenges, the Physics Wala team has curated a comprehensive combo comprising the Best Books for Quantitative Aptitude. This carefully assembled collection is not only listed to meet the diverse needs of candidates but also prioritizes affordability.

The aim is to provide quality study resources without putting a significant financial burden on aspirants. If they're interested in acquiring this budget-friendly Quantitative Aptitude book combo, they can directly purchase it from the PW Store through the following link. 


Quantitative Aptitude FAQs

Q1. What topics are covered in Quantitative Aptitude?

Ans. Quantitative Aptitude covers a broad range of topics, including percentages, ratios, averages, algebra, geometry, time and distance, profit and loss, and more.

Q2. How can I approach word problems in Quantitative Aptitude?

Ans. Approach word problems systematically. Identify the key information, define variables if necessary, choose the appropriate formula, and solve step by step to find the solution.

Q3. How can I purchase the Best Books for Quantitative Aptitude from the Physics Wala store?

Ans. To buy the budget-friendly Quantitative Aptitude book combo directly from the PW Store, click on the provided link in the article.

Q4. Why is Quantitative Aptitude important in exams?

Ans. Quantitative Aptitude is a crucial section in many competitive exams as it evaluates a candidate's logical and analytical thinking, mathematical proficiency, and ability to solve problems efficiently.

Q5. Are there any recommended books for Quantitative Aptitude preparation?

Ans. Yes, there are several recommended books for Quantitative Aptitude, and a budget-friendly combo of the Best Books for Quantitative Aptitude is available from the Physics Wala team.

This site uses cookies to improve your experience. By clicking, you agree to our Privacy Policy.