GATE Practice Question and Answer
8Q: If a girl cycles at 10 kmph, then she arrives at a certain place at 1 p.m. If she cycles at 15 kmph, she will arrive at the same place at 11 a.m. At what speed must she cycle to get there at noon? 1512 05b5cc6bfe4d2b4197774da42
5b5cc6bfe4d2b4197774da42- 114 kmphfalse
- 213 kmphfalse
- 312 kmphtrue
- 411 kmphfalse
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Answer : 3. "12 kmph"
Explanation :
Answer: C) 12 kmph Explanation: The distance is constant in this case. Let the time taken for travel with a speed of 10 kmph be 't'. Now the speed of 15 kmph is 3/2 times the speed of 10 kmph. Therefore, time taken with the speed of 15 kmph will be 2t/3 (speed is inversely proportional to time) Extra time taken = t - 2t/3 = t/3 => 1pm - 11am = 2hrs => t/3 = 2h => t = 6 hrs. Now, Distance = speed x time = 10 x 6 = 60 kms Time he takes to reach at noon = 6 - 1 = 5 hrs Now, Speed = 60/5 = 12 kmph.
Q: Select a suitable figure from the four alternatives that would complete the figure matrix. (1) (2) (3) (4) 1512 05b5cc76de4d2b4197774feea
5b5cc76de4d2b4197774feea- 11false
- 24false
- 33false
- 42true
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Answer : 4. "2"
Explanation :
Answer: D) 2 Explanation: One line is increasing in each subsequent figue.
Q: The compound interest on a certain sum for 2 years at 10% per annum is Rs. 1155. The simple interest on the same sum for double the time at half the rate percent per annum is ? 1509 15b5cc767e4d2b4197774fdfc
5b5cc767e4d2b4197774fdfc- 1Rs. 1100true
- 2Rs. 5500false
- 3Rs. 1400false
- 4Rs. 4120false
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Answer : 1. "Rs. 1100"
Explanation :
Answer: A) Rs. 1100 Explanation: Let the sum be Rs.x. Then, x1+101002-x=1155 ⇒x11102-1=1155 => x =5500 sum = Rs. 5500. So, S.I = Rs. 5500×5×4100 = 1100
Q: The length of a brigade which a train 130 m long and traveling at 45kmph can cross in 30 seconds, is 1508 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: Which is the oldest tennis tournament in the world and also prestigious? 1508 05b5cc678e4d2b4197774c1ad
5b5cc678e4d2b4197774c1ad- 1Wimbledontrue
- 2US Openfalse
- 3French Openfalse
- 4Australian Openfalse
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Answer : 1. "Wimbledon"
Explanation :
Answer: A) Wimbledon Explanation: Wimbledon Tournament in the city London, is the prestigious and the oldest tournament in the world.
Q: Which part of the flame is the hottest? 1508 05b5cc6abe4d2b4197774cf99
5b5cc6abe4d2b4197774cf99- 1Blue Zonetrue
- 2Luminous Zonefalse
- 3Dark Zonefalse
- 4Non - Luminous Zonefalse
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Answer : 1. "Blue Zone"
Explanation :
Answer: A) Blue Zone Explanation: Blue Zone is the hottest part of the flame that is where the flame has the most Oxygen and you are getting complete combustion. It is about 1400 degrees Centigrades. The Reddish part (Non - Luminous Zone) is the coolest part, about 800 deg C.
Q: What goes in dry and comes out wet? 1508 05b5cc62fe4d2b4197774b969
5b5cc62fe4d2b4197774b969- Show AnswerHide Answer
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Answer :
Explanation :
A Bath towel or a tea bag are suitable answers.
Q: In how many ways can letter of the word RAILINGS arrange so that R and S always come together? 1508 05b5cc6b9e4d2b4197774d6a8
5b5cc6b9e4d2b4197774d6a8- 11260false
- 22520false
- 35040true
- 41080false
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Answer : 3. "5040"
Explanation :
Answer: C) 5040 Explanation: The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2! But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.