Quantitative Aptitude Test — free practice test
A quantitative aptitude test measures your numerical problem-solving ability through timed questions on arithmetic, algebra, ratios, percentages and word problems. It is a standard component of campus placements, banking exams and management entrance tests, and rewards candidates who know the standard formulas and can apply shortcuts quickly.
Updated 2026-06-19 · 6 marked questions on this page, no signup · 10 worked sample questions with answers · AI-scored mock tests run inside the OnJob app.
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6 multiple-choice questions in the style of a real quantitative aptitude test, marked instantly on this page. Every answer comes with the working, so a wrong pick tells you which concept to revise. Nothing to install, no account, no email.
Key takeaways
- A quantitative aptitude test measures your numerical problem-solving ability through timed questions on arithmetic, algebra, ratios, percentages and word problems.
- A Quantitative Aptitude Test typically covers: Arithmetic, Time, speed and work, Algebra and numbers, Counting and probability.
- You can take a 6-question practice test on this page — it marks itself instantly and shows the working for every answer, with no signup.
What a quantitative aptitude test covers
Arithmetic
Percentages, profit and loss, simple and compound interest, averages and ratios.
Time, speed and work
Time and work, time-speed-distance, pipes and cisterns, and relative speed.
Algebra and numbers
Linear equations, ages, number systems, HCF/LCM and basic factorisation.
Counting and probability
Permutations, combinations and basic probability.
10 sample quantitative aptitude test questions with answers
Genuinely-correct, worked examples. Try each one before opening the answer , then go back to the marked practice test above and sit it against the clock .
Q1. An item bought for 400 is sold for 500. What is the profit percentage?
Answer: Profit = selling price − cost price = 500 − 400 = 100. Profit percent = (profit ÷ cost price) × 100 = (100 ÷ 400) × 100 = 25%. Profit percent is always taken on cost price unless stated otherwise.
Q2. Find the simple and compound interest on 1000 at 10% per year for 2 years.
Answer: Simple interest = (P × R × T) ÷ 100 = (1000 × 10 × 2) ÷ 100 = 200. Compound interest = 1000 × (1.1)² − 1000 = 1210 − 1000 = 210. CI exceeds SI by 10 — the interest earned on the first year's interest.
Q3. The average of 5 numbers is 20. If the number 30 is removed, what is the new average?
Answer: Total of 5 numbers = 5 × 20 = 100. Removing 30 leaves a sum of 70 across 4 numbers, so the new average is 70 ÷ 4 = 17.5.
Q4. A train 200 m long passes a pole in 10 seconds. Find its speed in km/h.
Answer: To pass a pole the train covers its own length, 200 m, in 10 s, so speed = 200 ÷ 10 = 20 m/s. Multiply by 3.6 to get 72 km/h.
Q5. A father is 3 times as old as his son. In 12 years he will be twice as old. Find their ages.
Answer: Let the son be x and the father 3x. In 12 years: 3x + 12 = 2(x + 12), so 3x + 12 = 2x + 24, giving x = 12. The son is 12 and the father is 36.
Q6. A 60-litre mixture has milk and water in the ratio 2:1. How much water must be added to make it 1:1?
Answer: The 3 parts of 60 litres are 20 litres each, so there are 40 litres of milk and 20 of water. For a 1:1 ratio the water must match the milk at 40 litres, so you add 40 − 20 = 20 litres of water.
Q7. Find the HCF and the LCM of 12 and 18.
Answer: Factorise: 12 = 2² × 3 and 18 = 2 × 3². The HCF takes the lowest power of each shared prime, 2 × 3 = 6; the LCM takes the highest, 2² × 3² = 36. Check it with HCF × LCM = 6 × 36 = 216 = 12 × 18.
Q8. A boat covers 24 km downstream in 2 hours and returns in 3 hours. Find the speed of the boat and of the stream.
Answer: Downstream speed is 24 ÷ 2 = 12 km/h and upstream is 24 ÷ 3 = 8 km/h. The boat speed is the average of the two, (12 + 8) ÷ 2 = 10 km/h, and the stream speed is half the difference, (12 − 8) ÷ 2 = 2 km/h.
Q9. If x + 1/x = 3, what is x² + 1/x²?
Answer: Square both sides: (x + 1/x)² = x² + 2 + 1/x² = 9. Subtracting the 2 gives x² + 1/x² = 7. Squaring the given expression is the standard route for this family of questions.
Q10. One pipe fills a tank in 6 hours while another empties it in 9 hours. With both open, how long does filling take?
Answer: The filling pipe does 1/6 of the tank an hour and the emptying pipe removes 1/9. The net rate is 1/6 − 1/9 = 3/18 − 2/18 = 1/18 per hour, so the tank fills in 18 hours.
How to prepare for a quantitative aptitude test
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Memorise the core formulas and the fraction-to-percentage table (1/8 = 12.5%, 1/6 ≈ 16.67%) to speed up calculations.
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Learn approximation and elimination techniques so you can rule out wrong options without full calculation.
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Practise topic-wise first to fix concepts, then switch to mixed, timed mock tests to build exam stamina.
- 4
Write neat intermediate steps; most quantitative errors come from rushed arithmetic, not wrong methods.
- 5
Track your accuracy per topic and spend extra practice on your two weakest areas.
Frequently asked questions
Everything you need to know before you create your free profile.
Create My Free Profile What is a quantitative aptitude test?
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The numerical core of aptitude exams — arithmetic, algebra and word problems solved at speed under a strict clock. This page covers what it measures, 10 worked sample questions with answers, and 5 ways to prepare — then you can sit a timed, scored version in OnJob's free AI mock tests.
An item bought for 400 is sold for 500. What is the profit percentage?
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Profit = selling price − cost price = 500 − 400 = 100. Profit percent = (profit ÷ cost price) × 100 = (100 ÷ 400) × 100 = 25%. Profit percent is always taken on cost price unless stated otherwise.
Find the simple and compound interest on 1000 at 10% per year for 2 years.
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Simple interest = (P × R × T) ÷ 100 = (1000 × 10 × 2) ÷ 100 = 200. Compound interest = 1000 × (1.1)² − 1000 = 1210 − 1000 = 210. CI exceeds SI by 10 — the interest earned on the first year's interest.
Can I take the test on this page, or do I have to sign up?
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You can take it right here. The practice test above has 6 multiple-choice questions, marks itself the moment you press "Check my score", and shows the working for every answer. No account, no email and no download. Signing up is only needed for OnJob's AI-scored mock tests, which grade written and spoken answers and can earn a verified skill badge.
Are these quantitative aptitude test questions free to practise?
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Yes. Every sample question and answer on this page is free to read. OnJob's AI mock tests are free to start (₹0) — you get up to 3 mock tests and 1 real, badge-earning test every month, with instant scoring and feedback. Pro (₹99/month) adds more attempts and deeper analytics.
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