GATE Practice Question and Answer
8Q: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ? 1457 05b5cc6dae4d2b4197774e8a5
5b5cc6dae4d2b4197774e8a5- 145 kmphfalse
- 225 kmphfalse
- 330 kmphfalse
- 450 kmphtrue
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Answer : 4. "50 kmph"
Explanation :
Answer: D) 50 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'S' km/hr. Then, relative speed = (S - 5) km/hr. S - 5 = 45 => S = 50 km/hr.
Q: A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast ? 11893 05b5cc6dae4d2b4197774e89e
5b5cc6dae4d2b4197774e89e- 17500true
- 26200false
- 35600false
- 44700false
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Answer : 1. "7500"
Explanation :
Answer: A) 7500 Explanation: Let the candidates be A & B35%-----------A65%-----------B Difference of votes (65-35)% = 30% => 30% ------- 2250Then for 100% -------- ? => 7500
Q: Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m. ? 1455 05b5cc6dae4d2b4197774e899
5b5cc6dae4d2b4197774e899- 120 kmphfalse
- 218 kmphfalse
- 312 kmphtrue
- 416 kmphfalse
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Answer : 3. "12 kmph"
Explanation :
Answer: C) 12 kmph Explanation: Let the distance traveled be x km.Then, x/10 - x/15 = 23x - 2x = 60 => x = 60 km.Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs.So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.Required speed = 60/5 = 12 kmph.
Q: When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country ? 1486 05b5cc6dae4d2b4197774e88f
5b5cc6dae4d2b4197774e88f- 1188 millionfalse
- 2166 2/3 milliontrue
- 3192 3/4 millionfalse
- 4Nonefalse
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Answer : 2. "166 2/3 million"
Explanation :
Answer: B) 166 2/3 million Explanation: 5% - 2% = 3%=> 3% ------ 5 million bags 100% ---- ? => 166 2/3 million bags.
Q: Find the quadratic equations whose roots are the reciprocals of the roots of 2x2+5x+3? 1830 05b5cc6dae4d2b4197774e88a
5b5cc6dae4d2b4197774e88a- 13x2+5x+2=0true
- 25x2+3x+2=0false
- 33x2-5x-2=0false
- 4Nonefalse
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Answer : 1. "3x2+5x+2=0"
Explanation :
Answer: A) A Explanation: The quadratic equation whose roots are reciprocal of 2x2+5x+3=0 can be obtained by replacing x by 1/x. Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0 => 3x2+5x+2=0
Q: Which state government has launched “Mahaswayam portal” for job seekers and employers ? 1731 05b5cc6dae4d2b4197774e885
5b5cc6dae4d2b4197774e885- 1Andhra Pradeshfalse
- 2Assamfalse
- 3Telanganafalse
- 4Maharashtratrue
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Answer : 4. "Maharashtra"
Explanation :
Answer: D) Maharashtra Explanation: The Chief Minister of Maharashtra Devendra Fadnavis has recently launched a web portal ‘Mahaswayam’ for job seekers, employers, entrepreneurs and training institutes. At ‘Mahaswayam’, job seekers will be able to register themselves, search as well as apply for jobs, inquire for training, get information on self-employment and get details of job fairs. Besides, training institutes can also register, get details on participation in the state skill development programme, get training fee receipts, and can also receive training fee through ECS. Apart from this, entrepreneurs can also post job vacancy advertisements at the portal.
Q: I, J , K and L are all distinct individual. I is the daughter of J. J is the son of K and 'K' is the father of L. If B is the son of J and B has one brother, 'D'. Then which of the following statements is/ are true ? I. I is the sister of D. II. D and B are brother. III. K is the grand father of D. 1387 05b5cc6d9e4d2b4197774e867
5b5cc6d9e4d2b4197774e867- 1Only Ifalse
- 2I & IIfalse
- 3Only IIIfalse
- 4All of thesetrue
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Answer : 4. "All of these"
Explanation :
Answer: D) All of these Explanation: K | J -- L | I -- D -- B Here I is female J, K, L & D , B are males Then from the above conditions, All of the given statements are true.
Q: Pointing towards a photograph kiran said to chotu, "I am the only daughter of this lady and her son is your maternal uncle " How is the kiran related to chotu's father ? 2153 05b5cc6d9e4d2b4197774e862
5b5cc6d9e4d2b4197774e862- 1Cousinfalse
- 2Daughterfalse
- 3Sisterfalse
- 4Wifetrue
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Answer : 4. "Wife"
Explanation :
Answer: D) Wife Explanation: So, the speaker is the mother of chotu. Kiran is wife of chotu's father. Chotu's father is not shown in the diagram.