Government exams
- 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 . 1
- 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. 1
- 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. 1
- 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. 1
- 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%. 1
- 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/... 1
- 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. 1
- 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 . 1
- 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. 1
- 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. 1
- 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. 1
- 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. 1
- Study the following arrangement carefully and answer the question.R 4 @ K 7 B # 2 M & E 9 T % 5 J $ 3 A * U 8 ! H DHow many numbers in the arrangement are immediately preceded by a letter and immediately followed by a symbol? Answer: C. 2 Answer: (C) 2 Such letter–number–symbol groups: R4@, U8!. Count = 2. 1
- Study the following arrangement carefully and answer the question.R 4 @ K 7 B # 2 M & E 9 T % 5 J $ 3 A * U 8 ! H DWhich element is seventh to the right of the tenth element from the left end? Answer: B. $ Answer: (B) $ The 10th element from the left is & (position 10). Seventh to its right is position 17, which is $. 1
- Study the following arrangement carefully and answer the question.R 4 @ K 7 B # 2 M & E 9 T % 5 J $ 3 A * U 8 ! H DHow many symbols in the arrangement are immediately followed by a letter? Answer: B. 4 Answer: (B) 4 Symbol followed by a letter: @K, &E, *U, !H. Count = 4. 1
- Study the following arrangement carefully and answer the question.R 4 @ K 7 B # 2 M & E 9 T % 5 J $ 3 A * U 8 ! H DIf all the symbols are removed from the arrangement, which element will be fifth from the right end? Answer: C. A Answer: (C) A Without symbols the arrangement is: R 4 K 7 B 2 M E 9 T 5 J 3 A U 8 H D. Fifth from the right end is A. 1
- Study the following arrangement carefully and answer the question.R 4 @ K 7 B # 2 M & E 9 T % 5 J $ 3 A * U 8 ! H DWhich element is fourth to the left of the third element from the right end? Answer: C. A Answer: (C) A There are 25 elements. Third from the right is position 23 (!). Fourth to its left is position 19: A. 1
- A man is facing South. He turns 135° clockwise and then 90° anticlockwise. Which direction is he facing now? Answer: D. South-West Answer: (D) South-West South = 180°. 135° clockwise → 315° (North-West). 90° anticlockwise → 225°, which is South-West... 1
- 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% . 1
- 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. 1
- 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. 1
- 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.) 1
- 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% . 1
- 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. 1