Quantitative Aptitude Practice Question and Answer
8Q: There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number ? 1352 05b5cc6dce4d2b4197774e974
5b5cc6dce4d2b4197774e974- 117false
- 219false
- 313true
- 411false
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Answer : 3. "13"
Explanation :
Answer: C) 13 Explanation: (385/1001) = 5/13 First Number is 5 => Fourth number is 13
Q: A train covered k km at 40 kmph and another 2k km at 20 kmph. Find the average speed of the train in covering the entire 3k km ? 1250 05b5cc6dce4d2b4197774e965
5b5cc6dce4d2b4197774e965- 128 kmphfalse
- 224 kmphtrue
- 326 kmphfalse
- 432 kmphfalse
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Answer : 2. "24 kmph"
Explanation :
Answer: B) 24 kmph Explanation: Total time taken = k/40 + 2k/20 hours = 5k/40 = k/8 hours Average speed = 3k/(k/8) = 24 kmph.
Q: An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 8%, the effective rate of interest becomes ? 1034 05b5cc6dce4d2b4197774e96a
5b5cc6dce4d2b4197774e96a- 110.25 %false
- 28.16 %true
- 39.63 %false
- 40.16 %false
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Answer : 2. "8.16 %"
Explanation :
Answer: B) 8.16 % Explanation: Let the sum be Rs. 100. Then,S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16Effective rate = (108.16 - 100) = 8.16%.
Q: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ? 2850 05b5cc6dce4d2b4197774e960
5b5cc6dce4d2b4197774e960- 15:3false
- 21:4false
- 34:1false
- 49:1true
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Answer : 4. "9:1"
Explanation :
Answer: D) 9:1 Explanation: Milk = 3/5 x 20 = 12 liters, water = 8 liters If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters. Remaining milk = 12 - 6 = 6 liters Remaining water = 8 - 4 = 4 liters 10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters. The ratio of milk and water in the new mixture = 16:4 = 4:1 If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 x 10 = 8 liters. Amount of water removed = 2 liters. Remaining milk = (16 - 8) = 8 liters. Remaining water = (4 -2) = 2 liters. Now 10 lts milk is added => total milk = 18 lts The required ratio of milk and water in the final mixture obtained = (8 + 10):2 = 18:2 = 9:1.
Q: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number ? 1100 05b5cc6dbe4d2b4197774e94b
5b5cc6dbe4d2b4197774e94b- 1270true
- 21270false
- 3350false
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Answer : 1. "270"
Explanation :
Answer: A) 270 Explanation: Let the smallest number be x.Then larger number = (x + 1365)x + 1365 = 6x + 15= 5x = 1350 x = 270Smaller number = 270.
Q: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20% ? 1849 05b5cc6dbe4d2b4197774e937
5b5cc6dbe4d2b4197774e937- 130 %false
- 225 %false
- 315 %false
- 420 %true
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Answer : 4. "20 %"
Explanation :
Answer: D) 20 % Explanation: SP2 = 2/3 SP1CP = 100SP2 = 802/3 SP1 = 80 SP1 = 120100 --- 20 => 20%
Q: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in ? 1389 05b5cc6dbe4d2b4197774e927
5b5cc6dbe4d2b4197774e927- 18 hrsfalse
- 212 hrsfalse
- 36 hrstrue
- 44 hrsfalse
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Answer : 3. "6 hrs"
Explanation :
Answer: C) 6 hrs Explanation: Suppose A, B and C take x, x/2 and x/3 respectively to finish the work. Then, (1/x + 2/x + 3/x) = 1/2 => 6/x = 1/2 => x = 12 So, B takes 6 hours to finish the work.
Q: In how many years, Rs. 200 will produce the same interest @ 5 % as Rs. 900 produce in 2 years @ 3 ½ % ? 4211 05b5cc6dbe4d2b4197774e909
5b5cc6dbe4d2b4197774e909- 15.2 yrsfalse
- 27 yrsfalse
- 37.9 yrsfalse
- 46.3 yrstrue
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Answer : 4. "6.3 yrs"
Explanation :
Answer: D) 6.3 yrs Explanation: P = Rs. 900, R = 3 ½ % = 7/2 %, T = 2 years. Therefore, S.I. = PTR/100 S.I. = Rs. (900 x 7/2 x 2/100) = Rs. 63 Now, P = Rs. 200, S.I. = Rs. 63, R = 5 % Time = ((100 x 63) / (200 x 5) ) years = 6.3 years.