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.
Q1.The value of 12.5% of 800 is:
Easy- A80
- B100
- C120
- D125
Quantitative Aptitude Test question 1 of 25+Show Answer & Explanation
Answer: B. 100
Explanation: 12.5% = 1/8, so 800/8 = 100.
Q2.A sum doubles in 5 years at simple interest. The rate per annum is:
Moderate- A15%
- B18%
- C20%
- D25%
Quantitative Aptitude Test question 2 of 25+Show Answer & Explanation
Answer: C. 20%
Explanation: Interest = principal, so R × 5 = 100 → R = 20%.
Q3.If a : b = 5 : 7 and their sum is 96, then b is:
Easy- A40
- B48
- C52
- D56
Quantitative Aptitude Test question 3 of 25+Show Answer & Explanation
Answer: D. 56
Explanation: Total 12 parts → 1 part = 8 → b = 7 × 8 = 56.
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
Quantitative Aptitude Test question 4 of 25+Show Answer & Explanation
Answer: B. 9 km/h
Explanation: Downstream speed = 12 km/h = b + 3 → b = 9 km/h.
Q5.The compound interest on ₹1,000 at 10% for 2 years is:
Easy- A₹200
- B₹210
- C₹220
- D₹231
Quantitative Aptitude Test question 5 of 25+Show Answer & Explanation
Answer: B. ₹210
Explanation: A = 1000 × 1.21 = ₹1,210 → CI = ₹210.
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
Quantitative Aptitude Test question 6 of 25+Show Answer & Explanation
Answer: B. 9.6 days
Explanation: 1/16 + 1/24 = 3/48 + 2/48 = 5/48 → 48/5 = 9.6 days.
Q7.The average of the first 15 natural numbers is:
Easy- A7
- B7.5
- C8
- D8.5
Quantitative Aptitude Test question 7 of 25+Show Answer & Explanation
Answer: C. 8
Explanation: (15 + 1)/2 = 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
Quantitative Aptitude Test question 8 of 25+Show Answer & Explanation
Answer: C. ₹440
Explanation: Discount = ₹60 → SP = 500 − 60 = ₹440.
Q9.The LCM of 9, 12 and 15 is:
Moderate- A120
- B150
- C180
- D360
Quantitative Aptitude Test question 9 of 25+Show Answer & Explanation
Answer: C. 180
Explanation: 9 = 3², 12 = 2²·3, 15 = 3·5 → LCM = 2² × 3² × 5 = 180.
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
Quantitative Aptitude Test question 10 of 25+Show Answer & Explanation
Answer: B. 20 km/h
Explanation: Speeds are 60 and 80 km/h → an increase of 20 km/h.
Q11.The area of a circle of diameter 28 cm (π = 22/7) is:
Moderate- A308 cm²
- B462 cm²
- C616 cm²
- D704 cm²
Quantitative Aptitude Test question 11 of 25+Show Answer & Explanation
Answer: C. 616 cm²
Explanation: Radius = 14 → area = 22/7 × 196 = 616 cm².
Q12.In how many ways can 4 books be arranged on a shelf?
Easy- A12
- B16
- C24
- D48
Quantitative Aptitude Test question 12 of 25+Show Answer & Explanation
Answer: C. 24
Explanation: All 4 books are distinct and order matters on a shelf, so 4! = 24 arrangements.
Q13.The value of √0.16 is:
Easy- A0.04
- B0.4
- C1.6
- D4
Quantitative Aptitude Test question 13 of 25+Show Answer & Explanation
Answer: B. 0.4
Explanation: 0.4 × 0.4 = 0.16.
Q14.Two pipes fill a tank in 15 and 30 minutes. Together they take:
Moderate- A8 minutes
- B10 minutes
- C12 minutes
- D20 minutes
Quantitative Aptitude Test question 14 of 25+Show Answer & Explanation
Answer: B. 10 minutes
Explanation: 1/15 + 1/30 = 3/30 = 1/10 → 10 minutes.
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
Quantitative Aptitude Test question 15 of 25+Show Answer & Explanation
Answer: C. 4% fall
Explanation: 1.2 × 0.8 = 0.96, a 4% fall.
Q16.The value of 16⅔% of 900 is:
Moderate- A120
- B140
- C150
- D180
Quantitative Aptitude Test question 16 of 25+Show Answer & Explanation
Answer: C. 150
Explanation: 16⅔% = 1/6, so 900/6 = 150.
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
Quantitative Aptitude Test question 17 of 25+Show Answer & Explanation
Answer: C. 80 km/h
Explanation: 240/3 = 80 km/h.
Q18.If a : b = 4 : 9 and a = 20, then b is:
Moderate- A36
- B40
- C45
- D54
Quantitative Aptitude Test question 18 of 25+Show Answer & Explanation
Answer: C. 45
Explanation: 20/b = 4/9 → b = 45.
Q19.The HCF of 42 and 56 is:
Moderate- A7
- B12
- C14
- D21
Quantitative Aptitude Test question 19 of 25+Show Answer & Explanation
Answer: C. 14
Explanation: 42 = 2·3·7 and 56 = 2³·7 → HCF = 2 × 7 = 14.
Q20.The compound interest on ₹2,000 at 10% for 2 years is:
Easy- A₹400
- B₹410
- C₹420
- D₹440
Quantitative Aptitude Test question 20 of 25+Show Answer & Explanation
Answer: C. ₹420
Explanation: A = 2000 × 1.21 = ₹2,420 → CI = ₹420.
Q21.The area of a square whose diagonal is 10 cm is:
Difficult- A25 cm²
- B50 cm²
- C75 cm²
- D100 cm²
Quantitative Aptitude Test question 21 of 25+Show Answer & Explanation
Answer: B. 50 cm²
Explanation: Area of a square from its diagonal = d²/2 = 100/2 = 50 cm².
Q22.Two pipes fill a tank in 20 and 30 minutes. Together they take:
Moderate- A10 minutes
- B12 minutes
- C15 minutes
- D18 minutes
Quantitative Aptitude Test question 22 of 25+Show Answer & Explanation
Answer: B. 12 minutes
Explanation: 1/20 + 1/30 = 3/60 + 2/60 = 5/60 = 1/12 → 12 minutes.
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
Quantitative Aptitude Test question 23 of 25+Show Answer & Explanation
Answer: B. ₹800
Explanation: CP = 960 × 100/120 = ₹800.
Q24.The LCM of 14 and 21 is:
Easy- A28
- B42
- C56
- D84
Quantitative Aptitude Test question 24 of 25+Show Answer & Explanation
Answer: B. 42
Explanation: 14 = 2·7 and 21 = 3·7 → LCM = 2 × 3 × 7 = 42.
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
Quantitative Aptitude Test question 25 of 25+Show Answer & Explanation
Answer: B. 1/26
Explanation: There are 2 red kings out of 52 cards → 2/52 = 1/26.
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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