GATE Practice Question and Answer
8Q: Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern ? 1339 05b5cc6e7e4d2b4197774edb5
5b5cc6e7e4d2b4197774edb5- 185 minfalse
- 295 minfalse
- 3105 minfalse
- 4100 mintrue
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Answer : 4. "100 min"
Explanation :
Answer: D) 100 min Explanation: Work done by the third pipe in 1 min = 1/50 - (1/60 + 1/75) = - 1/100.[-ve sign means emptying] The third pipe alone can empty the cistern in 100 min.
Q: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement ? 2470 05b5cc6e7e4d2b4197774edb0
5b5cc6e7e4d2b4197774edb0- 11900true
- 22100false
- 31700false
- 42000false
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Answer : 1. "1900"
Explanation :
Answer: A) 1900 Explanation: Given 2000 ---- 54 days The provisions for 2000 men for 39 days can be completed by 'm' men for only 20 days. i.e, 2000 ----- 39 days == m ---- 20 days => m x 20 = 2000 x 39 m = 3900 So total men for 20 days is 3900 => 2000 old and 1900 new reinforcement. Hence, reinforcement = 1900.
Q: Praveena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ? 855 05b5cc6e7e4d2b4197774edab
5b5cc6e7e4d2b4197774edab- 16true
- 27false
- 39false
- 411false
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Answer : 1. "6"
Explanation :
Answer: A) 6 Explanation: Let rate = R% and time = R years. Then, (1200 x R x R) / 100 = 432 => R = 6.
Q: H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is : 1511 05b5cc6e7e4d2b4197774eda6
5b5cc6e7e4d2b4197774eda6- 1360false
- 2180true
- 390false
- 4120false
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Answer : 2. "180"
Explanation :
Answer: B) 180 Explanation: 4 x 27 x 3125 = 22 × 33 × 55 ; 8 x 9 x 25 x 7 = 23 × 32 × 52 × 7 16 x 81 x 5 x 11 x 49 = 24 × 34 × 5 × 11 × 72 H.C.F = 22 × 32 × 5 = 180.
Q: The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube ? 842 05b5cc6e7e4d2b4197774eda1
5b5cc6e7e4d2b4197774eda1- 115 mfalse
- 24 mfalse
- 36 mtrue
- 49 mfalse
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Answer : 3. "6 m"
Explanation :
Answer: C) 6 m Explanation: The edge of the new cube is = 33+43+53 = a3 => a = 6 m.
Q: Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit ? 1356 05b5cc6e7e4d2b4197774ed9c
5b5cc6e7e4d2b4197774ed9c- 1Rs. 8840false
- 2Rs. 8800false
- 3Rs. 8810false
- 4Nonetrue
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Answer : 4. "None"
Explanation :
Answer: D) None Explanation: Amount = 80001+51002 = 8000 x 21/20 x 21/20 = Rs. 8820
Q: A thief goes away with a MARUTHI car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ? 8109 05b5cc6e7e4d2b4197774ed97
5b5cc6e7e4d2b4197774ed97- 12 hrs 10 minfalse
- 22 hrstrue
- 32 hrs 5 minfalse
- 42 hrs 30 minfalse
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Answer : 2. "2 hrs"
Explanation :
Answer: B) 2 hrs Explanation: |-----------20--------------------|50 40 Difference = 20kms Relative Speed = 50 – 40 = 10 kmph Time = 20/10 = 2 hours.
Q: 96% of the population of a village is 23040. The total population of the village is ? 2733 05b5cc6e7e4d2b4197774ed92
5b5cc6e7e4d2b4197774ed92- 124000true
- 232256false
- 325478false
- 426587false
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Answer : 1. "24000"
Explanation :
Answer: A) 24000 Explanation: Let the total population be 'P' P x (96/100) = 23040 P = 240 * 100 P = 24000.