Aptitude & reasoning

Quantitative Aptitude 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 · 5 worked sample questions with answers · The interactive, scored tests run inside the OnJob app.

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.
  • This guide includes 5 worked sample questions with answers — then rehearse under timed, scored conditions in OnJob's free mock tests.
What it measures

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.

Practice questions

5 sample quantitative aptitude test questions with answers

Genuinely-correct, worked examples. Try each one before opening the answer, then practise the full set under timed, scored conditions on OnJob.

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.

Step by step

How to prepare for a quantitative aptitude test

  1. 1

    Memorise the core formulas and the fraction-to-percentage table (1/8 = 12.5%, 1/6 ≈ 16.67%) to speed up calculations.

  2. 2

    Learn approximation and elimination techniques so you can rule out wrong options without full calculation.

  3. 3

    Practise topic-wise first to fix concepts, then switch to mixed, timed mock tests to build exam stamina.

  4. 4

    Write neat intermediate steps; most quantitative errors come from rushed arithmetic, not wrong methods.

  5. 5

    Track your accuracy per topic and spend extra practice on your two weakest areas.

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