Quantitative aptitude

25 chapters 427 solved questions 10 tests

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A invests Rs. 12,000 in a business for 12 months and B invests Rs. 20,000 for 9 months. Out of a total profit of Rs. 13,500, what is B's share (in Rs.)? Answer: C. 7500 Answer: (C) 7500 Ratio = 12000 × 12 : 20000 × 9 = 144000 : 180000 = 4 : 5. B's share = 5/9 × 13500 = 7500 . Partnership 1 answer
In an election between two candidates, the winner got 58% of the valid votes and won by 2,400 votes. What was the total number of valid votes? Answer: A. 15000 Answer: (A) 15000 Margin = 58% − 42% = 16% of valid votes = 2400. Valid votes = 2400 ÷ 0.16 = 15,000. Percentage 1 answer
Pipes A and B can fill a tank in 20 minutes and 30 minutes respectively, and pipe C can empty the full tank in 15 minutes. If all three pipes are opened together on an empty tank, in how many minutes will it be filled? Answer: D. 60 Answer: (D) 60 Net rate = 1/20+1/30-1/15 = 3+2-4/60 = 1/60 . Time = 60 minutes. Pipes and cisterns 1 answer
A bag contains 5 red, 4 blue and 3 green balls. Two balls are drawn at random together. What is the probability that both balls are of the same colour? Answer: B. 19/66 Answer: (B) 19/66 Favourable = binom52+binom42+binom32 = 10+6+3 = 19 . Total = binom122 = 66 . Probability = 19/66. Probability 1 answer
A shopkeeper marks an article 25% above its cost price and allows a discount of 12% on the marked price. What is his profit percentage? Answer: C. 10% Answer: (C) 10% Take CP = 100. MP = 125, SP = 125 × 0.88 = 110. Profit = 10%. Profit, loss and discount 1 answer
A trader sells two mobile phones for Rs. 1,200 each. On one he gains 20% and on the other he loses 20%. What is his overall gain or loss percentage? Answer: A. 4% loss Answer: (A) 4% loss CPs: 1200 ÷ 1.2 = 1000 and 1200 ÷ 0.8 = 1500. Total CP = 2500, total SP = 2400. Loss = 100, i.e. 100/... Profit, loss and discount 1 answer
Rs. 7,200 is divided among A, B and C in the ratio 3 : 4 : 5. By how much does C's share exceed A's share (in Rs.)? Answer: B. 1200 Answer: (B) 1200 One part = 7200 ÷ 12 = 600. C − A = (5 − 3) × 600 = Rs. 1,200. Ratio and proportion 1 answer
What is the simple interest on Rs. 6,000 at 8% per annum for 3 years (in Rs.)? Answer: B. 1440 Answer: (B) 1440 SI = 6000 × 8 × 3/100 = 1440 . Simple and compound interest 1 answer
The difference between the compound interest (compounded annually) and the simple interest on a sum for 2 years at 10% per annum is Rs. 75. What is the sum (in Rs.)? Answer: C. 7500 Answer: (C) 7500 For 2 years, CI − SI = P(R/100)² . So 75 = P × 0.01 , P = Rs. 7,500. Simple and compound interest 1 answer
A can finish a work in 12 days and B in 18 days. They work together for 4 days, after which A leaves. In how many more days will B finish the remaining work? Answer: D. 8 Answer: (D) 8 In 4 days they do 4(1/12+1/18) = 5/9 . Remaining 4/9 at B's rate 1/18 takes 8 days. Time and work 1 answer
A 240 m long train crosses a pole in 12 seconds. How long (in seconds) will it take to cross a 360 m long platform? Answer: D. 30 Answer: (D) 30 Speed = 240 ÷ 12 = 20 m/s. Distance to cover = 240 + 360 = 600 m. Time = 600 ÷ 20 = 30 s. Time, speed and distance 1 answer
A car goes from town P to town Q, 120 km apart, at 40 km/h and returns from Q to P at 60 km/h. What is its average speed for the whole journey (in km/h)? Answer: C. 48 Answer: (C) 48 Time = 120/40 + 120/60 = 3 + 2 = 5 h for 240 km. Average speed = 240 ÷ 5 = 48 km/h. Time, speed and distance 1 answer
The table shows the number of loans sanctioned by five branches (A to E) of a rural bank in 2024 and 2025. Study it and answer the question.Branch20242025A240300B180225C320288D270351E150210What is the percentage increase in the number of loans sancti… Answer: D. 30% Answer: (D) 30% 351-270/270 × 100 = 81/270 × 100 = 30% . Data interpretation 1 answer
The table shows the number of loans sanctioned by five branches (A to E) of a rural bank in 2024 and 2025. Study it and answer the question.Branch20242025A240300B180225C320288D270351E150210What is the ratio of the total loans sanctioned by branches A… Answer: B. 70 : 83 Answer: (B) 70 : 83 A + B (2024) = 240 + 180 = 420. C + E (2025) = 288 + 210 = 498. 420 : 498 = 70 : 83. Data interpretation 1 answer
The table shows the number of loans sanctioned by five branches (A to E) of a rural bank in 2024 and 2025. Study it and answer the question.Branch20242025A240300B180225C320288D270351E150210What is the average number of loans sanctioned per branch in… Answer: B. 274.8 Answer: (B) 274.8 Total 2025 = 300 + 225 + 288 + 351 + 210 = 1374. Average = 1374 ÷ 5 = 274.8. Data interpretation 1 answer
The table shows the number of loans sanctioned by five branches (A to E) of a rural bank in 2024 and 2025. Study it and answer the question.Branch20242025A240300B180225C320288D270351E150210The number of loans sanctioned by branch C in 2025 is what pe… Answer: B. 10% Answer: (B) 10% 320-288/320 × 100 = 32/320 × 100 = 10% . (11.11% is the wrong base, 32/288.) Data interpretation 1 answer
The table shows the number of loans sanctioned by five branches (A to E) of a rural bank in 2024 and 2025. Study it and answer the question.Branch20242025A240300B180225C320288D270351E150210The total number of loans sanctioned by all five branches in… Answer: A. 84.43% Answer: (A) 84.43% Total 2024 = 1160, total 2025 = 1374. 1160/1374 × 100 ≈ 84.43% . Data interpretation 1 answer
What will come in place of the question mark (?) in the series?7, 15, 31, 63, 127, ? Answer: B. 255 Answer: (B) 255 Each term = previous × 2 + 1. 127 × 2 + 1 = 255. Number series 1 answer
What will come in place of the question mark (?) in the series?4, 6, 12, 30, 90, ? Answer: C. 315 Answer: (C) 315 Multipliers are ×1.5, ×2, ×2.5, ×3, ×3.5. 90 × 3.5 = 315. Number series 1 answer
What will come in place of the question mark (?) in the series?11, 13, 17, 25, 41, ? Answer: C. 73 Answer: (C) 73 Differences are 2, 4, 8, 16, so the next difference is 32: 41 + 32 = 73. Number series 1 answer
What will come in place of the question mark (?) in the series?2, 9, 28, 65, 126, ? Answer: A. 217 Answer: (A) 217 Terms are n³ + 1 : 1+1, 8+1, 27+1, 64+1, 125+1, so next is 6³ + 1 = 217 . Number series 1 answer
Find the wrong number in the series.5, 12, 26, 54, 112, 222 Answer: C. 112 Answer: (C) 112 Each term = previous × 2 + 2: 5, 12, 26, 54, 110, 222. So 112 is wrong; it should be 110. Number series 1 answer
A number is first increased by 20% and the result is then decreased by 15%. If the final value is 8,160, what was the original number? Answer: A. 8000 Answer: (A) 8000 Net factor = 1.20 × 0.85 = 1.02. Original = 8160 ÷ 1.02 = 8000. Percentage 1 answer
In the following question, two equations numbered I and II are given. Solve both equations and choose the correct relationship between x and y.I. \( x^2 - 11x + 30 = 0 \)II. \( y^2 - 7y + 12 = 0 \) Answer: A. x > y Answer: (A) x > y I gives x = 5, 6. II gives y = 3, 4. Comparing every pair of values: x > y. Quadratic equations 1 answer

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