GATE Practice Question and Answer
8Q: A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is 1650 05b5cc6d9e4d2b4197774e816
5b5cc6d9e4d2b4197774e816- 130false
- 236false
- 340true
- 442false
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Answer : 3. "40"
Explanation :
Answer: C) 40 Explanation: Let distance = x km and usual rate = y kmph.Then, x/y - x/(y+3) = 40/60 --> 2y (y+3) = 9x ----- (i)Also, x/(y-2) - x/y = 40/60 --> y(y-2) = 3x -------- (ii)On dividing (i) by (ii), we get: x = 40 km.
Q: The length of a brigade which a train 130 m long and traveling at 45kmph can cross in 30 seconds, is 1503 05b5cc6d9e4d2b4197774e80c
5b5cc6d9e4d2b4197774e80c- 1196 mtsfalse
- 2220 mtsfalse
- 3230 mtsfalse
- 4245 mtstrue
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Answer : 4. "245 mts"
Explanation :
Answer: D) 245 mts Explanation: Let the length of the brigade is x mtsThen Distance = 130 + x mtsgiven speed = 45 kmph = 45 x5/18 m/sTime = 30 secT = D/S => 30 = 130+x/(45x5/18)=> x = 245 mts.
Q: If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day ? 3046 05b5cc6d9e4d2b4197774e807
5b5cc6d9e4d2b4197774e807- 1101 menfalse
- 2112 menfalse
- 3102 mentrue
- 4120 menfalse
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Answer : 3. "102 men"
Explanation :
Answer: C) 102 men Explanation: From the above formula i.e (m1 x t1/w1) = (m2 x t2/w2) so, [(34 x 8 x 9)/(2/5)] = [(M x 6 x 9)/(3/5)] so, M = 136 men Number of men to be added to finish the work = 136-34 = 102 men.
Q: If Hema walks at 12 km/hr instead of 8 km/hr, she would have walked 20 km more. The actual distance travelled by Hema is ? 2023 05b5cc6d9e4d2b4197774e802
5b5cc6d9e4d2b4197774e802- 140 kmstrue
- 230 kmsfalse
- 346 kmsfalse
- 432 kmsfalse
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Answer : 1. "40 kms"
Explanation :
Answer: A) 40 kms Explanation: Let the actual distance travelled be x km. Then x/8=(x+20)/12 => 12x = 8x + 160=> 4x = 160=> x = 40 km.
Q: It takes one minute to fill 2/7 th of a vessel. What is the time taken in minutes to fill the whole of the vessel ? 1875 05b5cc6d8e4d2b4197774e7fd
5b5cc6d8e4d2b4197774e7fd- 11/7 minfalse
- 27/2 mintrue
- 35/7 minfalse
- 47/5 minfalse
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Answer : 2. "7/2 min"
Explanation :
Answer: B) 7/2 min Explanation: Time taken to fill 2/7 = 1Then to fill full 1 = ?? = 1/(2/7) = 7/2 minutes.
Q: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y ? 2840 05b5cc6d8e4d2b4197774e7c6
5b5cc6d8e4d2b4197774e7c6- 1360 mfalse
- 2420 mtrue
- 3460 mfalse
- 4320 mfalse
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Answer : 2. "420 m"
Explanation :
Answer: B) 420 m Explanation: Let the length of the stationary train Y be LY Given that length of train X, LX = 300 m Let the speed of Train X be V. Since the train X crosses train Y and a pole in 60 seconds and 25 seconds respectively. => 300/V = 25 ---> ( 1 ) (300 + LY) / V = 60 ---> ( 2 ) From (1) V = 300/25 = 12 m/sec. From (2) (300 + LY)/12 = 60 => 300 + LY = 60 (12) = 720 => LY = 720 - 300 = 420 m Length of the stationary train = 420 m
Q: Rs. 2600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4 ? 3073 05b5cc6d8e4d2b4197774e7bf
5b5cc6d8e4d2b4197774e7bf- 1600true
- 2300false
- 3150false
- 475false
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Answer : 1. "600"
Explanation :
Answer: A) 600 Explanation: 1/2:1/3:1/4 = 6:4:3 As the difference is 3 => 3/13x2600 = 600
Q: The sum of three consecutive multiples of 3 is 72. What is the second largest number ? 2236 05b5cc6d8e4d2b4197774e7ba
5b5cc6d8e4d2b4197774e7ba- 127false
- 224true
- 321false
- 442false
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Answer : 2. "24"
Explanation :
Answer: B) 24 Explanation: Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27. => Second largest number = 27 - 3 = 24