GATE Practice Question and Answer
8Q: A 300m race is held between two players running 3m/s and 5m/s in swimming pool of 50m long. how many times the two player meet in opposite direction till the faster one completes the race ? 2898 05b5cc754e4d2b4197774fb77
5b5cc754e4d2b4197774fb77- 13 timestrue
- 24 timesfalse
- 35 timesfalse
- 42 timesfalse
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Answer : 1. "3 times"
Explanation :
Answer: A) 3 times Explanation: Let us assume A is the faster and B is slower, A takes 10s to finish a lap of 50 m, B takes 17s(approx) to finish a lap of 50 m.So at 11th sec A starts his 2nd lap by the time B will be in between so that is the first time they will meet each other, at 21st sec A starts his 3rd lap by the time B will be coming back to finish his 2nd lap. So that is the second time they meet in opposite. Then at 31st sec A will start his 4th lap by the time B would not even finish 2nd lap as he take 34(2*17) sec to finish 2 laps. So at 35th sec B will start his 3rd lap by the time A will be coming back to finish his 4th lap in the half way so they will meet 3rd time. At 41st sec A will start its fifth lap by the time B will be going to finish 3rd lap in same direction. At 50th second both will complete A's 5th lap and B's 3rd lap. So they will start next lap(A's 6th and B's 4th) from the same point in same direction. And A will finish the race after completing 300m(6*50) total distance and then they wont meet opposite to each other. So totally they met 3 times in opposite direction.
Q: The ratio between the number of sheep and the number of horses at the Stewar farm is 4 to 15. If each of horse is fed 110 ounces of horse food per day and the farm needs a total 13200 ounces of horse food per day. what is number sheep in the form ? 1191 05b5cc754e4d2b4197774fb7c
5b5cc754e4d2b4197774fb7c- 132true
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Answer : 1. "32"
Explanation :
Answer: A) 32 Explanation: Given ratio of number of sheep and horses = 4 : 15Let number of sheep and horses are 4k and 15k Number of horses = 13200/110 = 120 Now 15K = 120 and k = 8 Number of sheep = 4k = (4 x 8) = 32
Q: 19 persons do 19 programs in 19 hours . If they take 15 mins interval and then how much time they need to do 52 programs. 4425 05b5cc754e4d2b4197774fb6d
5b5cc754e4d2b4197774fb6d- 123 hoursfalse
- 247 hrs 15 minfalse
- 352 hrs 15 mintrue
- 422 hrs 15 minfalse
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Answer : 3. "52 hrs 15 min"
Explanation :
Answer: C) 52 hrs 15 min Explanation: Since they can do 19 programs in 19 hours, Then 52 programs in 52 hours respectively.And a 15 min intervalTotal time they take to do 52 programs is 52 hours 15 minutes.
Q: If 15 men 4 hours per day works for 14 days get Rs.35/- then how many men required if the work is 8 hours per day for 10 days they get 50/- ? 2593 05b5cc754e4d2b4197774fb68
5b5cc754e4d2b4197774fb68- 112false
- 213false
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Answer : 4. "15"
Explanation :
Answer: D) 15 Explanation: We know M1×D1×H1W1 = M2×D2×H2W2 => 15×4×1435 = M×8×1050 => M = 15
Q: A jeep travels a certain distance taking 6 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 4 hrs. What is the distance travelled by the jeep is ? 1139 05b5cc754e4d2b4197774fb5d
5b5cc754e4d2b4197774fb5d- 1244 kmfalse
- 2144 kmtrue
- 3444 kmfalse
- 4344 kmfalse
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Answer : 2. "144 km"
Explanation :
Answer: B) 144 km Explanation: Given a jeep travels a certain distance taking 6 hrs in forward journeyDuring the return journey, it takes 4 hrs with an increased speed 12 km/hrLet 'x' be the distance.Now, speed is given by distance/time.Here the difference between both speeds = 12 x4 - x6 = 12 3x - 2x12 = 12 => x = 144 km Therefore, the distance travelled by the jeep in forward or return journey is x = 144 km.
Q: How many meshes are there in 1 squrare meter of wire gauge if each mesh is 8mm long and 5mm wide ? 1349 05b5cc754e4d2b4197774fb58
5b5cc754e4d2b4197774fb58- 12500false
- 225000true
- 312500false
- 415400false
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Answer : 2. "25000"
Explanation :
Answer: B) 25000 Explanation: We know that, One square meter is equal to 10,00,000 sq mm.Given, each mesh is 8mm length and 5mm wideTherefore for each mesh : 8 x 5 = 40 sq mm.So, number of meshes = 100000040 = 25000.
Q: A group of six cousins are sitting around a hexagonal table, each one at one corner of the hexagon. (facing the centre inside) Raju is sitting opposite to Rohan. Sweety is sitting next to Navya. Aadya is sitting opposite to Navya, but not next to Kalyan. Karthik has a person sitting between Rohan and himself. If Sweety sits to the right of Karthik, then who is sitting to the left of Karthik ? 6525 05b5cc74fe4d2b4197774fb53
5b5cc74fe4d2b4197774fb53- 1Aadyafalse
- 2Kalyanfalse
- 3Rajutrue
- 4Rohanfalse
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Answer : 3. "Raju"
Explanation :
Answer: C) Raju Explanation: Suppose Sweety is sitting between Rohan and Karthik such that she is to the right of him.....then as Raju is opposite to Rohan then Raju must be to the left of Karthik.
Q: In an objective competitive exam, a correct answer score 4 marks and on a wrong answer 2 marks are negatively added. A student scores 420 marks from 150 question. How many answers were correct ? 3897 05b5cc74fe4d2b4197774fb4e
5b5cc74fe4d2b4197774fb4e- 1145false
- 2138false
- 3125false
- 4120true
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Answer : 4. "120"
Explanation :
Answer: D) 120 Explanation: let x be the correct answer and y be the wrong answerso the total number of questions is (x + y) = 150.....(1)=> 4x - 2y = 420.....(2)By solving (1) & (2), we get => 6x = 720hence x = 120Therefore, number of correct answers are 120.