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Aptitude test · free, with answers

Quantitative Aptitude Test

This quantitative aptitude test has 25 multiple-choice questions on percentages, profit and loss, simple and compound interest, ratios, averages, time and work, speed and distance, numbers, mixtures and probability. It matches the maths section of campus placement and bank or government job aptitude rounds. You get 30 minutes, and every answer comes with a short worked solution.

  • 25 questions
  • 30 minutes
  • 10 easy · 10 medium · 5 hard

Topics: Percentages · Profit and loss · Simple and compound interest · Ratio and proportion · Averages · Time and work · Speed, time and distance · Number system · Mixtures · Probability · Permutations · Ages · Data interpretation

Start the test ↓ See answers
Answer key: all 25 questions with answers and explanations

  1. 1. What is 15% of 480?

    1. A. 62
    2. B. 68
    3. C. 72
    4. D. 78

    Answer: C. 72

    15% of 480 = 480 × 15 ÷ 100 = 7,200 ÷ 100 = 72. A quick way: 10% is 48 and 5% is 24, so 15% is 48 + 24 = 72.

  2. 2. The price of an item is first increased by 20% and then decreased by 20%. What is the net change in the price?

    1. A. No change
    2. B. 4% decrease
    3. C. 4% increase
    4. D. 2% decrease

    Answer: B. 4% decrease

    Take the price as 100. After a 20% increase it is 120. A 20% decrease on 120 is 24, so the new price is 96. That is 4 less than 100, a 4% decrease.

  3. 3. A shopkeeper buys a fan for ₹800 and sells it for ₹920. What is the profit percentage?

    1. A. 15%
    2. B. 12%
    3. C. 18%
    4. D. 20%

    Answer: A. 15%

    Profit = 920 − 800 = ₹120. Profit % is always on cost price: 120 ÷ 800 × 100 = 15%.

  4. 4. The marked price of a chair is ₹1,200. The seller gives a 10% discount and still makes a 20% profit. What is the cost price of the chair?

    1. A. ₹850
    2. B. ₹880
    3. C. ₹960
    4. D. ₹900

    Answer: D. ₹900

    Selling price = 1,200 − 10% of 1,200 = ₹1,080. This is 120% of the cost price, so cost price = 1,080 ÷ 1.2 = ₹900.

  5. 5. What is the simple interest on ₹5,000 at 8% per year for 3 years?

    1. A. ₹1,000
    2. B. ₹1,200
    3. C. ₹1,400
    4. D. ₹1,500

    Answer: B. ₹1,200

    Simple interest = P × R × T ÷ 100 = 5,000 × 8 × 3 ÷ 100 = ₹1,200.

  6. 6. What is the compound interest on ₹10,000 at 10% per year for 2 years, compounded annually?

    1. A. ₹2,000
    2. B. ₹2,010
    3. C. ₹2,200
    4. D. ₹2,100

    Answer: D. ₹2,100

    Amount = 10,000 × 1.1 × 1.1 = ₹12,100. Compound interest = 12,100 − 10,000 = ₹2,100. The extra ₹100 over simple interest is interest earned on the first year’s interest.

  7. 7. The difference between compound interest (compounded annually) and simple interest on a sum for 2 years at 5% per year is ₹25. What is the sum?

    1. A. ₹5,000
    2. B. ₹8,000
    3. C. ₹10,000
    4. D. ₹12,500

    Answer: C. ₹10,000

    For 2 years, CI − SI = P × (R/100)². So 25 = P × (5/100)² = P × 0.0025. P = 25 ÷ 0.0025 = ₹10,000.

  8. 8. ₹1,200 is divided between two people in the ratio 3 : 5. What is the larger share?

    1. A. ₹750
    2. B. ₹450
    3. C. ₹600
    4. D. ₹720

    Answer: A. ₹750

    Total parts = 3 + 5 = 8. One part = 1,200 ÷ 8 = ₹150. The larger share is 5 parts = 5 × 150 = ₹750.

  9. 9. The average of five numbers is 24. If one number, 40, is removed, what is the average of the remaining four numbers?

    1. A. 16
    2. B. 18
    3. C. 22
    4. D. 20

    Answer: D. 20

    Sum of five numbers = 5 × 24 = 120. After removing 40, the sum is 80. Average of four numbers = 80 ÷ 4 = 20.

  10. 10. The average age of 30 students is 14 years. When the teacher’s age is included, the average becomes 15 years. What is the teacher’s age?

    1. A. 40 years
    2. B. 42 years
    3. C. 45 years
    4. D. 48 years

    Answer: C. 45 years

    Total age of students = 30 × 14 = 420. Total with the teacher = 31 × 15 = 465. Teacher’s age = 465 − 420 = 45 years.

  11. 11. A can finish a job in 12 days and B can finish it in 18 days. How long will they take working together?

    1. A. 7.2 days
    2. B. 7.5 days
    3. C. 8 days
    4. D. 6.5 days

    Answer: A. 7.2 days

    In one day A does 1/12 and B does 1/18. Together: 1/12 + 1/18 = 3/36 + 2/36 = 5/36 of the job per day. Time = 36 ÷ 5 = 7.2 days.

  12. 12. A and B together can finish a task in 10 days. A alone can finish it in 15 days. How many days will B alone take?

    1. A. 25 days
    2. B. 30 days
    3. C. 20 days
    4. D. 35 days

    Answer: B. 30 days

    B’s one-day work = 1/10 − 1/15 = 3/30 − 2/30 = 1/30. So B alone takes 30 days.

  13. 13. What is 72 km/h in metres per second?

    1. A. 18 m/s
    2. B. 20 m/s
    3. C. 24 m/s
    4. D. 25 m/s

    Answer: B. 20 m/s

    To convert km/h to m/s, multiply by 5/18. 72 × 5 ÷ 18 = 20 m/s.

  14. 14. A train 150 m long runs at 54 km/h. How long does it take to cross a platform 300 m long?

    1. A. 20 seconds
    2. B. 25 seconds
    3. C. 36 seconds
    4. D. 30 seconds

    Answer: D. 30 seconds

    Distance to cover = train + platform = 150 + 300 = 450 m. Speed = 54 × 5/18 = 15 m/s. Time = 450 ÷ 15 = 30 seconds.

  15. 15. A car goes from town X to town Y at 60 km/h and returns along the same road at 40 km/h. What is the average speed for the whole trip?

    1. A. 50 km/h
    2. B. 48 km/h
    3. C. 45 km/h
    4. D. 52 km/h

    Answer: B. 48 km/h

    For equal distances, average speed = 2ab ÷ (a + b) = 2 × 60 × 40 ÷ 100 = 48 km/h. It is not the simple average (50) because more time is spent at the slower speed.

  16. 16. A boat’s speed in still water is 15 km/h and the stream flows at 3 km/h. How long will the boat take to go 36 km upstream and come back?

    1. A. 4 hours
    2. B. 4.5 hours
    3. C. 5 hours
    4. D. 6 hours

    Answer: C. 5 hours

    Upstream speed = 15 − 3 = 12 km/h, so 36 km takes 3 hours. Downstream speed = 15 + 3 = 18 km/h, so 36 km takes 2 hours. Total = 5 hours.

  17. 17. What is the LCM of 12, 18 and 30?

    1. A. 90
    2. B. 120
    3. C. 360
    4. D. 180

    Answer: D. 180

    12 = 2² × 3, 18 = 2 × 3², 30 = 2 × 3 × 5. LCM takes the highest power of each prime: 2² × 3² × 5 = 4 × 9 × 5 = 180.

  18. 18. What is the HCF of 84 and 126?

    1. A. 42
    2. B. 14
    3. C. 21
    4. D. 28

    Answer: A. 42

    84 = 2² × 3 × 7 and 126 = 2 × 3² × 7. HCF takes the lowest common powers: 2 × 3 × 7 = 42.

  19. 19. What is the smallest number that must be added to 457 to make it divisible by 9?

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

    Answer: C. 2

    A number is divisible by 9 when its digit sum is. 4 + 5 + 7 = 16. The next multiple of 9 is 18, so add 2. Check: 459 ÷ 9 = 51.

  20. 20. A 40-litre mixture has milk and water in the ratio 3 : 1. How much water must be added to make the ratio 3 : 2?

    1. A. 5 litres
    2. B. 10 litres
    3. C. 8 litres
    4. D. 12 litres

    Answer: B. 10 litres

    Milk = 3/4 × 40 = 30 litres, water = 10 litres. Milk stays 30. For 3 : 2, water must be 20 litres. So add 20 − 10 = 10 litres of water.

  21. 21. Two fair dice are thrown together. What is the probability that the sum of the numbers is 7?

    1. A. 1/6
    2. B. 1/9
    3. C. 5/36
    4. D. 1/12

    Answer: A. 1/6

    There are 6 × 6 = 36 equally likely outcomes. A sum of 7 comes from (1,6), (2,5), (3,4), (4,3), (5,2), (6,1): 6 outcomes. Probability = 6/36 = 1/6.

  22. 22. A bag has 4 red balls and 6 blue balls. One ball is picked at random. What is the probability that it is red?

    1. A. 2/3
    2. B. 3/5
    3. C. 2/5
    4. D. 1/4

    Answer: C. 2/5

    Total balls = 4 + 6 = 10. Red balls = 4. Probability = 4/10 = 2/5.

  23. 23. In how many different ways can the letters of the word LEVEL be arranged?

    1. A. 60
    2. B. 120
    3. C. 20
    4. D. 30

    Answer: D. 30

    LEVEL has 5 letters with L repeated twice and E repeated twice. Arrangements = 5! ÷ (2! × 2!) = 120 ÷ 4 = 30.

  24. 24. A father is three times as old as his son. After 12 years, he will be twice as old as his son. What is the son’s present age?

    1. A. 12 years
    2. B. 10 years
    3. C. 14 years
    4. D. 16 years

    Answer: A. 12 years

    Let the son be s, so the father is 3s. After 12 years: 3s + 12 = 2(s + 12) = 2s + 24, so s = 12. Check: son 12, father 36; in 12 years 24 and 48.

  25. 25. A shop’s sales were ₹240 thousand in Q1, ₹300 thousand in Q2, ₹270 thousand in Q3 and ₹390 thousand in Q4. By what percentage did sales grow from Q1 to Q4?

    1. A. 55%
    2. B. 60%
    3. C. 62.5%
    4. D. 65%

    Answer: C. 62.5%

    Increase = 390 − 240 = 150 thousand. Growth % = 150 ÷ 240 × 100 = 62.5%. Always divide by the starting value (Q1), not the ending value.

How this test is scored

Each correct answer earns one mark and there is no negative marking, so answer every question. A score of 18 or more out of 25 is a strong result for most placement aptitude rounds.

On the result screen, below 50% means the topics need more practice, 50–75% is a good base to build on, and above 75% means you are ready for questions like these. These bands are for your own practice only.

How to prepare

  • Learn the core shortcuts by heart: percentage-to-fraction values, the 5/18 speed conversion, and the CI − SI formula for two years.
  • Practise in timed sets of 10 questions. Most aptitude rounds give about one minute per question, so speed matters as much as method.
  • Skip a question that is taking more than two minutes, finish the rest, then come back to it.
  • Check answers with rough estimation. If 15% of 480 comes out as 720, you know you slipped a decimal.
  • Keep an error notebook. Write down each question you get wrong and the exact step where you went wrong, and revise it weekly.

Tests are one part of the process. Read the interview preparation guide and practise answering out loud with the free interview practice tool.

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FAQ

Questions about the Quantitative Aptitude Test

Percentages, profit and loss, ratios, averages, time and work, speed and distance, and simple and compound interest appear in almost every placement and bank aptitude test. Number system, probability and data interpretation are also common. If you are short of time, master percentages and ratios first, because many other topics are built on them.

Memorise common fractions (1/8 = 12.5%, 1/6 ≈ 16.67%), squares up to 30 and cubes up to 15. Solve by options when possible: plug an option back into the question to check it. Timed practice every day for two or three weeks builds speed more than reading solutions does.

It depends on the employer and the testing platform. Many campus tests have no negative marking, but some use a quarter or third of a mark as penalty. Read the instructions on the test screen. If there is a penalty, guess only when you can eliminate at least two options.

Usually not. Most online aptitude tests either block calculators or provide only a basic on-screen one. Practise mental maths and quick written working so you are not slowed down on the day.

Keep practising

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