Quantitative Aptitude Sectional Test 2026 (30 MCQs with Solutions)
What changed in 2026 drives
Mass-recruiter offer letters are flatter for 2026 batch - the 4-5 LPA ASE band has barely budged in three years while inflation eats real wages. Premium tracks (Digital, Pro, Elite, Specialist) are still where the differential lives, and they are entirely test-driven. If you are aiming higher than the default offer, the coding round is not optional pageantry - it is the entire interview.
What I'd actually study for this
- 01Two solid coding-round answers (1 medium-hard DSA each, with edge-case discussion) > five half-baked ones
- 02One real project you can defend end-to-end - file paths, design decisions, and what you would change
- 03One DBMS schema you actually built (not a textbook ER diagram), with at least 3 join-heavy queries written from memory
- 04Three behavioural STAR stories: failure recovered, conflict handled, ownership taken
Where most candidates trip up
The single biggest mistake is treating company-specific guides as primary prep and DSA as secondary. It is the opposite. Mass recruiters use the test as a filter, but premium tracks at every IT services company use coding to allocate offer band. Spend 70% of prep time on DSA + system fundamentals, 20% on company-specific patterns, 10% on HR rehearsal. Reverse that ratio and you collect the default offer.
Editorial commentary by Aditya Sharma · written for PapersAdda · not generated, not aggregated.
Last Updated: June 2026
This sectional test isolates quantitative aptitude so you can diagnose your speed and accuracy in one section under a clock. It spans the high-frequency topics candidates report from TCS NQT, Infosys, Wipro, Accenture, and Cognizant quantitative rounds: percentages, profit and loss, ratios, time and work, time-speed-distance, averages, interest, and probability. Sit it in 30 minutes, then study every worked solution.
Test Instructions
| Parameter | Details |
|---|---|
| Total Questions | 30 |
| Total Time | 30 minutes |
| Section | Quantitative Aptitude only |
| Marking | +1 correct, -0.25 wrong |
| Target Score | 22+ for placement readiness |
Topic Coverage
| Topic | Questions |
|---|---|
| Percentages and Profit-Loss | 7 |
| Ratios, Mixtures, Partnership | 6 |
| Time, Work, Speed, Distance | 7 |
| Averages, Ages, Numbers | 5 |
| Interest and Probability | 5 |
Questions
Q1. A number is reduced by 40% to give 144. Find the original number.
A) 200 B) 220 C) 240 D) 260
Q2. A shopkeeper sells an item at 15% profit. If the cost price was ₹400, find the selling price.
A) ₹440 B) ₹450 C) ₹460 D) ₹470
Q3. If 25% of a number is 75, what is 60% of the same number?
A) 150 B) 165 C) 180 D) 200
Q4. A man buys an article for ₹500 and sells it for ₹575. Find his profit percentage.
A) 12% B) 15% C) 18% D) 20%
Q5. After a 25% discount, the price of a bag is ₹600. Find the marked price.
A) ₹750 B) ₹780 C) ₹800 D) ₹820
Q6. A trader marks his goods 30% above cost and allows a 10% discount. Find his profit percentage.
A) 15% B) 17% C) 18% D) 20%
Q7. If the price of rice increases by 20%, by what percentage must consumption fall to keep spending the same?
A) 15% B) 16.67% C) 18% D) 20%
Q8. Two numbers are in ratio 5:8. If the larger is 96, find the smaller.
A) 56 B) 60 C) 64 D) 72
Q9. A 50-litre mixture has milk and water in ratio 4:1. How much water must be added for ratio 2:1?
A) 8 litres B) 10 litres C) 12 litres D) 15 litres
Q10. A and B invest ₹4000 and ₹6000. If profit is ₹2500, find B's share.
A) ₹1000 B) ₹1200 C) ₹1500 D) ₹1800
Q11. Divide ₹880 among A, B, C in ratio 2:3:5. Find C's share.
A) ₹350 B) ₹400 C) ₹440 D) ₹500
Q12. If a:b = 2:3 and b:c = 4:5, find a:c.
A) 8:15 B) 2:5 C) 3:5 D) 4:9
Q13. A car travels 240 km in 4 hours. What distance will it cover in 7 hours at the same speed?
A) 400 km B) 420 km C) 440 km D) 460 km
Q14. A train 180 m long crosses a pole in 9 seconds. Find its speed in km/hr.
A) 64 B) 68 C) 72 D) 76
Q15. A can do a work in 20 days, B in 30 days. Together, how many days will they take?
A) 10 B) 12 C) 15 D) 18
Q16. A pipe fills a tank in 10 hours and another empties it in 15 hours. If both run, how long to fill?
A) 25 hours B) 30 hours C) 35 hours D) 40 hours
Q17. A boat covers 32 km downstream in 2 hours and 24 km upstream in 3 hours. Find boat speed in still water.
A) 9 km/hr B) 10 km/hr C) 11 km/hr D) 12 km/hr
Q18. Two trains 100 m and 150 m long move toward each other at 36 and 54 km/hr. Time to cross?
A) 8 s B) 10 s C) 12 s D) 14 s
Q19. A and B can do a work in 15 days. If A alone takes 25 days, how long does B take?
A) 30 B) 35 C) 37.5 D) 40
Q20. The average of 10 numbers is 45. If two numbers averaging 60 are removed, find the new average.
A) 40 B) 41.25 C) 42.5 D) 43.75
Q21. The average age of 5 members is 30. A new member of age 36 joins. Find the new average.
A) 30 B) 31 C) 32 D) 33
Q22. The sum of three consecutive numbers is 72. Find the largest.
A) 23 B) 24 C) 25 D) 26
Q23. The present ages of A and B are in ratio 3:5. After 8 years the ratio is 2:3. Find A's present age.
A) 24 B) 28 C) 30 D) 32
Q24. The HCF of two numbers is 8 and their product is 384. Find their LCM.
A) 40 B) 44 C) 48 D) 52
Q25. The simple interest on ₹5000 at 6% for 3 years is:
A) ₹800 B) ₹850 C) ₹900 D) ₹950
Q26. A sum doubles in 10 years at simple interest. Find the rate per annum.
A) 8% B) 9% C) 10% D) 12%
Q27. The compound interest on ₹4000 for 2 years at 10% is:
A) ₹820 B) ₹840 C) ₹860 D) ₹880
Q28. A bag has 3 red and 5 green balls. One is drawn. Probability it is red?
A) 1/8 B) 3/8 C) 5/8 D) 1/2
Q29. Two dice are rolled. Probability that the sum is 7?
A) 1/9 B) 1/6 C) 5/36 D) 1/12
Q30. A card is drawn from 52. Probability it is a face card?
A) 3/13 B) 1/13 C) 4/13 D) 1/4
Answer Key
| Q | Ans | Q | Ans | Q | Ans | Q | Ans | Q | Ans |
|---|---|---|---|---|---|---|---|---|---|
| 1 | C | 7 | B | 13 | B | 19 | C | 25 | C |
| 2 | C | 8 | B | 14 | C | 20 | B | 26 | C |
| 3 | C | 9 | B | 15 | B | 21 | B | 27 | B |
| 4 | B | 10 | C | 16 | B | 22 | C | 28 | B |
| 5 | C | 11 | C | 17 | D | 23 | A | 29 | B |
| 6 | B | 12 | A | 18 | B | 24 | C | 30 | A |
Worked Solutions
Q1. 60% of original = 144, so original = 144/0.6 = 240. Answer: C.
Q2. SP = 400 × 1.15 = 460. Answer: C.
Q3. 25% = 75, so 1% = 3, 60% = 180. Answer: C.
Q4. Profit = 75 on 500 = 15%. Answer: B.
Q5. 75% of MP = 600, MP = 600/0.75 = 800. Answer: C.
Q6. CP 100, MP 130, SP = 130 × 0.9 = 117. Profit = 17%. Answer: B.
Q7. Reduction = 20/(100+20) × 100 = 20/120 × 100 = 16.67%. Answer: B.
Q8. Larger = 8 parts = 96, so 1 part = 12, smaller = 5 × 12 = 60. Answer: B.
Q9. 50 litres in 4:1: milk 40, water 10. For 2:1 with milk fixed at 40, water must be 20. Add 10 litres. Answer: B.
Q10. Ratio 4000:6000 = 2:3. B's share = 3/5 × 2500 = 1500. Answer: C.
Q11. Total parts 10. C = 5/10 × 880 = 440. Answer: C.
Q12. a:b = 2:3, b:c = 4:5. Make b common: a:b = 8:12, b:c = 12:15. So a:c = 8:15. Answer: A.
Q13. Speed = 240/4 = 60 km/hr. In 7 hours = 420 km. Answer: B.
Q14. Speed = 180/9 = 20 m/s = 72 km/hr. Answer: C.
Q15. Combined rate = 1/20 + 1/30 = 5/60 = 1/12. Time = 12 days. Answer: B.
Q16. Net rate = 1/10 - 1/15 = 3/30 - 2/30 = 1/30. Time = 30 hours. Answer: B.
Q17. Downstream speed = 32/2 = 16 km/hr. Upstream speed = 24/3 = 8 km/hr. Still-water speed = (16 + 8)/2 = 12 km/hr. Answer: D.
Q18. Relative speed = 36 + 54 = 90 km/hr = 25 m/s. Total length = 250 m. Time = 250/25 = 10 s. Answer: B.
Q19. B's rate = 1/15 - 1/25 = 5/75 - 3/75 = 2/75. B alone = 75/2 = 37.5 days. Answer: C.
Q20. Total of 10 = 450. Remove two summing 120: remaining total = 330 over 8 = 41.25. Answer: B.
Q21. Total of 5 = 150. New total = 186 over 6 = 31. Answer: B.
Q22. Middle = 72/3 = 24, so numbers are 23, 24, 25. Largest = 25. Answer: C.
Q23. (3x + 8)/(5x + 8) = 2/3. 3(3x + 8) = 2(5x + 8), 9x + 24 = 10x + 16, x = 8. A's age = 3x = 24. Answer: A.
Q24. LCM = product/HCF = 384/8 = 48. Answer: C.
Q25. SI = 5000 × 6 × 3/100 = 900. Answer: C.
Q26. Doubles means SI = principal in 10 years. R = 100/10 = 10%. Answer: C.
Q27. A = 4000 × 1.1² = 4840. CI = 840. Answer: B.
Q28. P(red) = 3/8. Answer: B.
Q29. Sum 7 has 6 outcomes of 36 = 1/6. Answer: B.
Q30. Face cards = 12 of 52 = 3/13. Answer: A.
Score Interpretation
| Score | Performance | Recommendation |
|---|---|---|
| 26-30 | Excellent | Quant is a strength, maintain it |
| 22-25 | Good | Tighten speed on ratios and TSD |
| 16-21 | Average | Drill the two weakest topics |
| Below 16 | Needs Work | Rebuild formulas before more tests |
How To Drill This Section
Candidates report that quantitative speed is built by topic, not by random mocks. After this sectional test, tag each wrong answer by topic. If three of your misses are in time-speed-distance, your next session is fifteen TSD questions back to back, timed. Sectional tests diagnose; topic drilling repairs.
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Frequently Asked Questions
How is a sectional test different from a full mock?
A sectional test isolates one section so you can diagnose and drill it in depth. This quantitative sectional test gives you 30 questions in one section with a tighter 30-minute clock, which surfaces speed problems that a mixed full mock can hide. Candidates report sectional tests are the fastest way to fix a single weak area before a drive.
What is a good time target for this quantitative sectional test?
Aim for 30 minutes for 30 questions, that is one minute average per question. Easy questions should take under 40 seconds to bank time for the harder ratio, mixture, and probability items. If you cannot finish in 35 minutes, speed is your bottleneck, not concept.
Which quantitative topics should I prioritize for placements?
Candidates consistently report percentages, profit and loss, time and work, time-speed-distance, ratios, and averages as the highest-frequency topics in TCS NQT, Infosys, and Wipro quantitative sections. Master these six before moving to lower-frequency topics like mensuration and permutations.
Methodology applied to this articlelast verified 8 Jun 2026
- No fabricated salary numbers or success rates. If we quote a range, it's sourced.
- No noun-substituted templates. This article was not generated by swapping company names in a stock prompt.
- No paid placements, sponsored coaching links, or affiliate-shilled course pushes.
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