GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: In a joint family, there are 24 members whose age is decreased by 4 months, when one girl aged 24 years is replaced by a new boy. Find the age of the new boy ? 1617 05b5cc6c5e4d2b4197774dd73
5b5cc6c5e4d2b4197774dd73- 118 yearsfalse
- 212 yearsfalse
- 315 yearsfalse
- 416 yearstrue
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उत्तर : 4. "16 years"
व्याख्या :
Answer: D) 16 years Explanation: Age of new boy = (Age of moved girl) – (Number of family members × Decreased in average) = 24 – 24×4/12 = 24 – 8 = 16 years.
प्र: A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ? 1617 05b5cc6c8e4d2b4197774df23
5b5cc6c8e4d2b4197774df23- 1(1/2)^11true
- 2(9)(1/2)false
- 3(11C2)(1/2)^9false
- 4(1/2)false
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उत्तर : 1. "(1/2)^11"
व्याख्या :
Answer: A) (1/2)^11 Explanation: Probability of occurrence of an event, P(E) = Number of favorable outcomes/Numeber of possible outcomes = n(E)/n(S) ⇒ Probability of getting head in one coin = ½, ⇒ Probability of not getting head in one coin = 1- ½ = ½, Hence, All the 11 tosses are independent of each other. ∴ Required probability of getting only 2 times heads =122×129=1211
प्र: 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 ? 1617 05b5cc6e7e4d2b4197774edb5
5b5cc6e7e4d2b4197774edb5- 185 minfalse
- 295 minfalse
- 3105 minfalse
- 4100 mintrue
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उत्तर : 4. "100 min"
व्याख्या :
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.
प्र: A disaccharide is formed by the chemical bonding of 1617 05b5cc63de4d2b4197774bad9
5b5cc63de4d2b4197774bad9- 1two monosaccharidestrue
- 2two polysaccharidesfalse
- 3one monosaccharide and one polysaccharidefalse
- 4All the abovefalse
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उत्तर : 1. "two monosaccharides"
व्याख्या :
Answer: A) two monosaccharides Explanation: Disaccharides are formed when two monosaccharides join together by the dehydration synthesis reaction resulting in a glycosidic bond between the two monosaccharide molecules. The reaction produces water as a side product.
प्र: If 25% of a number is subtracted from a second number, the second number reduces to its four-sixth. What is the ratio of the first number to the second number ? 1617 05b5cc6dee4d2b4197774ea46
5b5cc6dee4d2b4197774ea46- 14:3true
- 22:3false
- 33:2false
- 45:3false
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उत्तर : 1. "4:3"
व्याख्या :
Answer: A) 4:3 Explanation: Let the numbers be p & q q-p/4 = 4q/6 => q-4q/6 = p/4 => 2q/6 = p/4 => p/q = 4/3
प्र: In a bag, there are 8 red, 7 blue and 6 green flowers. One of the flower is picked up randomly. What is the probability that it is neither red nor green ? 1617 05b5cc774e4d2b41977750016
5b5cc774e4d2b41977750016- 113true
- 2821false
- 3621false
- 42021false
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उत्तर : 1. "13"
व्याख्या :
Answer: A) Option A Explanation: Total number of flowers = (8+7+6) = 21. Let E = event that the flower drawn is neither red nor green. = event taht the flower drawn is blue. --> n(E)= 7 --> P(E)= 721=13
प्र: Food : Stomach : : Fuel : ? 1617 05b5cc73de4d2b4197774f977
5b5cc73de4d2b4197774f977- 1truckfalse
- 2Planefalse
- 3Enginetrue
- 4Automobilefalse
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उत्तर : 3. "Engine"
व्याख्या :
Answer: C) Engine Explanation: Food is processed by the stomach to provide energy for the functioning of the body.Similarly, fuel is processed by the engine to provide energy for the functioning of automobile.
प्र: Calender Puzzle 1615 05b5cc6d5e4d2b4197774e629
5b5cc6d5e4d2b4197774e629- 1Afalse
- 2Bfalse
- 3Cfalse
- 4Dtrue
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उत्तर : 4. "D"
व्याख्या :
Answer: D) D Explanation: We can't determine the last day of the next month which has 31 days because we don't know the days in present month which may be 30 or 31. And the next month may be March which contains 31 days which implies that the present month may be February which contains 28 or 29 days.

