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Quantitative Aptitude Test — Questions and Answers

A quantitative-only timed test, drawn from the arithmetic topics that carry the highest weightage in Indian placement and bank papers: percentages, ratios, time and work, speed, interest and averages. Use it after you have finished topic-wise practice, to find which concept still slows you down under a clock.

25 solved questionsOnline Aptitude TestFree · no signup

Quantitative Aptitude Test— Concepts, Formulas & Shortcuts

  • Percentage-to-fraction conversion is the single biggest speed gain in quant.
  • For equal distances, average speed is the harmonic mean 2uv/(u + v).
  • Use the LCM method in time-and-work to avoid fractions entirely.
  • Learn squares to 30 and cubes to 15 — they appear constantly.
  • Approximate first, calculate exactly only if two options remain.
  • Track which topic your errors cluster in; that is where the next hour of study belongs.

Quantitative Aptitude Test Practice Questions with Answers

Attempt each question first, then open the explanation. All 25 questions below are free to read and require no signup.

  1. Q1.The value of 12.5% of 800 is:

    Easy
    • A80
    • B100
    • C120
    • D125
    +Show Answer & Explanation

    Answer: B. 100

    Explanation: 12.5% = 1/8, so 800/8 = 100.

    Quantitative Aptitude Test question 1 of 25
  2. Q2.A sum doubles in 5 years at simple interest. The rate per annum is:

    Moderate
    • A15%
    • B18%
    • C20%
    • D25%
    +Show Answer & Explanation

    Answer: C. 20%

    Explanation: Interest = principal, so R × 5 = 100 → R = 20%.

    Quantitative Aptitude Test question 2 of 25
  3. Q3.If a : b = 5 : 7 and their sum is 96, then b is:

    Easy
    • A40
    • B48
    • C52
    • D56
    +Show Answer & Explanation

    Answer: D. 56

    Explanation: Total 12 parts → 1 part = 8 → b = 7 × 8 = 56.

    Quantitative Aptitude Test question 3 of 25
  4. Q4.A boat goes 24 km downstream in 2 hours. If the stream is 3 km/h, the boat's still-water speed is:

    Moderate
    • A6 km/h
    • B9 km/h
    • C12 km/h
    • D15 km/h
    +Show Answer & Explanation

    Answer: B. 9 km/h

    Explanation: Downstream speed = 12 km/h = b + 3 → b = 9 km/h.

    Quantitative Aptitude Test question 4 of 25
  5. Q5.The compound interest on ₹1,000 at 10% for 2 years is:

    Easy
    • A₹200
    • B₹210
    • C₹220
    • D₹231
    +Show Answer & Explanation

    Answer: B. ₹210

    Explanation: A = 1000 × 1.21 = ₹1,210 → CI = ₹210.

    Quantitative Aptitude Test question 5 of 25
  6. Q6.A can do a work in 16 days and B in 24 days. Together they finish it in:

    Moderate
    • A8.4 days
    • B9.6 days
    • C10 days
    • D12 days
    +Show Answer & Explanation

    Answer: B. 9.6 days

    Explanation: 1/16 + 1/24 = 3/48 + 2/48 = 5/48 → 48/5 = 9.6 days.

    Quantitative Aptitude Test question 6 of 25
  7. Q7.The average of the first 15 natural numbers is:

    Easy
    • A7
    • B7.5
    • C8
    • D8.5
    +Show Answer & Explanation

    Answer: C. 8

    Explanation: (15 + 1)/2 = 8.

    Quantitative Aptitude Test question 7 of 25
  8. Q8.An article marked at ₹500 is sold at a 12% discount. The selling price is:

    Easy
    • A₹420
    • B₹430
    • C₹440
    • D₹460
    +Show Answer & Explanation

    Answer: C. ₹440

    Explanation: Discount = ₹60 → SP = 500 − 60 = ₹440.

    Quantitative Aptitude Test question 8 of 25
  9. Q9.The LCM of 9, 12 and 15 is:

    Moderate
    • A120
    • B150
    • C180
    • D360
    +Show Answer & Explanation

    Answer: C. 180

    Explanation: 9 = 3², 12 = 2²·3, 15 = 3·5 → LCM = 2² × 3² × 5 = 180.

    Quantitative Aptitude Test question 9 of 25
  10. Q10.A car covers 240 km in 4 hours. To cover it in 3 hours its speed must increase by:

    Moderate
    • A15 km/h
    • B20 km/h
    • C25 km/h
    • D30 km/h
    +Show Answer & Explanation

    Answer: B. 20 km/h

    Explanation: Speeds are 60 and 80 km/h → an increase of 20 km/h.

    Quantitative Aptitude Test question 10 of 25
  11. Q11.The area of a circle of diameter 28 cm (π = 22/7) is:

    Moderate
    • A308 cm²
    • B462 cm²
    • C616 cm²
    • D704 cm²
    +Show Answer & Explanation

    Answer: C. 616 cm²

    Explanation: Radius = 14 → area = 22/7 × 196 = 616 cm².

    Quantitative Aptitude Test question 11 of 25
  12. Q12.In how many ways can 4 books be arranged on a shelf?

    Easy
    • A12
    • B16
    • C24
    • D48
    +Show Answer & Explanation

    Answer: C. 24

    Explanation: All 4 books are distinct and order matters on a shelf, so 4! = 24 arrangements.

    Quantitative Aptitude Test question 12 of 25
  13. Q13.The value of √0.16 is:

    Easy
    • A0.04
    • B0.4
    • C1.6
    • D4
    +Show Answer & Explanation

    Answer: B. 0.4

    Explanation: 0.4 × 0.4 = 0.16.

    Quantitative Aptitude Test question 13 of 25
  14. Q14.Two pipes fill a tank in 15 and 30 minutes. Together they take:

    Moderate
    • A8 minutes
    • B10 minutes
    • C12 minutes
    • D20 minutes
    +Show Answer & Explanation

    Answer: B. 10 minutes

    Explanation: 1/15 + 1/30 = 3/30 = 1/10 → 10 minutes.

    Quantitative Aptitude Test question 14 of 25
  15. Q15.If the price of an item rises 20% and then falls 20%, the net change is:

    Moderate
    • ANo change
    • B4% rise
    • C4% fall
    • D2% fall
    +Show Answer & Explanation

    Answer: C. 4% fall

    Explanation: 1.2 × 0.8 = 0.96, a 4% fall.

    Quantitative Aptitude Test question 15 of 25
  16. Q16.The value of 16⅔% of 900 is:

    Moderate
    • A120
    • B140
    • C150
    • D180
    +Show Answer & Explanation

    Answer: C. 150

    Explanation: 16⅔% = 1/6, so 900/6 = 150.

    Quantitative Aptitude Test question 16 of 25
  17. Q17.A train covers 240 km in 3 hours. Its speed is:

    Easy
    • A60 km/h
    • B70 km/h
    • C80 km/h
    • D90 km/h
    +Show Answer & Explanation

    Answer: C. 80 km/h

    Explanation: 240/3 = 80 km/h.

    Quantitative Aptitude Test question 17 of 25
  18. Q18.If a : b = 4 : 9 and a = 20, then b is:

    Moderate
    • A36
    • B40
    • C45
    • D54
    +Show Answer & Explanation

    Answer: C. 45

    Explanation: 20/b = 4/9 → b = 45.

    Quantitative Aptitude Test question 18 of 25
  19. Q19.The HCF of 42 and 56 is:

    Moderate
    • A7
    • B12
    • C14
    • D21
    +Show Answer & Explanation

    Answer: C. 14

    Explanation: 42 = 2·3·7 and 56 = 2³·7 → HCF = 2 × 7 = 14.

    Quantitative Aptitude Test question 19 of 25
  20. Q20.The compound interest on ₹2,000 at 10% for 2 years is:

    Easy
    • A₹400
    • B₹410
    • C₹420
    • D₹440
    +Show Answer & Explanation

    Answer: C. ₹420

    Explanation: A = 2000 × 1.21 = ₹2,420 → CI = ₹420.

    Quantitative Aptitude Test question 20 of 25
  21. Q21.The area of a square whose diagonal is 10 cm is:

    Difficult
    • A25 cm²
    • B50 cm²
    • C75 cm²
    • D100 cm²
    +Show Answer & Explanation

    Answer: B. 50 cm²

    Explanation: Area of a square from its diagonal = d²/2 = 100/2 = 50 cm².

    Quantitative Aptitude Test question 21 of 25
  22. Q22.Two pipes fill a tank in 20 and 30 minutes. Together they take:

    Moderate
    • A10 minutes
    • B12 minutes
    • C15 minutes
    • D18 minutes
    +Show Answer & Explanation

    Answer: B. 12 minutes

    Explanation: 1/20 + 1/30 = 3/60 + 2/60 = 5/60 = 1/12 → 12 minutes.

    Quantitative Aptitude Test question 22 of 25
  23. Q23.A man sells an article at ₹960 with a 20% profit. His cost price was:

    Moderate
    • A₹768
    • B₹800
    • C₹820
    • D₹840
    +Show Answer & Explanation

    Answer: B. ₹800

    Explanation: CP = 960 × 100/120 = ₹800.

    Quantitative Aptitude Test question 23 of 25
  24. Q24.The LCM of 14 and 21 is:

    Easy
    • A28
    • B42
    • C56
    • D84
    +Show Answer & Explanation

    Answer: B. 42

    Explanation: 14 = 2·7 and 21 = 3·7 → LCM = 2 × 3 × 7 = 42.

    Quantitative Aptitude Test question 24 of 25
  25. Q25.The probability of drawing a red king from a standard pack of 52 cards is:

    Moderate
    • A1/13
    • B1/26
    • C1/52
    • D2/13
    +Show Answer & Explanation

    Answer: B. 1/26

    Explanation: There are 2 red kings out of 52 cards → 2/52 = 1/26.

    Quantitative Aptitude Test question 25 of 25

Quantitative Aptitude Test — Frequently Asked Questions

Which quant topics carry the highest weightage?+

Percentages, profit and loss, ratio and proportion, time and work, time and distance, simple and compound interest, and averages together account for the majority of quantitative questions in Indian placement and bank exams.

How do I improve calculation speed?+

Memorise the fraction-percentage table, squares to 30, cubes to 15 and tables to 20. Most "slow" candidates are not slow at reasoning — they are slow at arithmetic.

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