GATE Practice Question and Answer
8Q: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ? 3732 05b5cc6dce4d2b4197774e979
5b5cc6dce4d2b4197774e979- 112 & 7true
- 213 & 8false
- 315 & 10false
- 414 & 9false
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Answer : 1. "12 & 7"
Explanation :
Answer: A) 12 & 7 Explanation: x – y = 5 4x – 6y = 6 x = 12 y = 7
Q: 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 ? 1567 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: Two numbers are 35% and 42% are less than a third number .How much percent is the second number less than the first ? 1574 05b5cc6dce4d2b4197774e96f
5b5cc6dce4d2b4197774e96f- 110.769 %true
- 211.23 %false
- 310.4 %false
- 49.87 %false
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Answer : 1. "10.769 %"
Explanation :
Answer: A) 10.769 % Explanation: I II III 65 58 100 65 -------- 7100 ------ ? => 10.769%
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 ? 1207 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 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 ? 1361 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: 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 ? 3040 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: If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true ? 2105 05b5cc6dbe4d2b4197774e955
5b5cc6dbe4d2b4197774e955- 1x > y < zfalse
- 2x < y < zfalse
- 3x > y > zfalse
- 4z < x < ytrue
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Answer : 4. "z < x < y"
Explanation :
Answer: D) z < x < y Explanation: x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3) As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5) As (√10 + 3) > (√8 + √7) > (√6 + √5) z < x < y.
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 ? 1269 05b5cc6dbe4d2b4197774e94b
5b5cc6dbe4d2b4197774e94b- 1270true
- 21270false
- 3350false
- 4720false
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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.