GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: What percent is 120 of 85 ? 2082 05b5cc6dde4d2b4197774ea0a
5b5cc6dde4d2b4197774ea0a- 1133.33 %false
- 2141.17 %true
- 3145.54 %false
- 4139.29 %false
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उत्तर : 2. "141.17 %"
व्याख्या :
Answer: B) 141.17 % Explanation: Px85100=120 => p = 12000/85 = 141.17 %
प्र: Ajay and his wife Reshmi appear in an interview for two vaccancies in the same post. The Probability of Ajay's selection is 1/7 and that of his wife Reshmi's selection is 1/5. What is the probability that only one of them will be selected? 2082 05b5cc7d0e4d2b41977751222
5b5cc7d0e4d2b41977751222- 15/7false
- 21/5false
- 32/7true
- 42/35false
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उत्तर : 3. "2/7"
व्याख्या :
Answer: C) 2/7 Explanation: P( only one of them will be selected) = p[(E and not F) or (F and not E)] = PE∩F∪F∩E = PEPF+PFPE =17×45+15×67=27
प्र: How many three digit numbers 'abc' are formed where two of the three digits are same ? 2082 05b5cc701e4d2b4197774f1b7
5b5cc701e4d2b4197774f1b7- 1252false
- 2648false
- 3243true
- 4900false
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उत्तर : 3. "243"
व्याख्या :
Answer: C) 243 Explanation: Digits are 0,1,2,3,4,5,6,7,8,9. So no. of digits are 10 First all possible case => 9(0 excluded) x 10 x 10 = 900 Second no repetition allowed =>9 x 9 x 8 = 648 Third all digits are same => 9 (111,222,333,444,555,666,777,888,999) Three digit numbers where two of the three digits are same = 900 - 648 - 9 = 243 ;
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 ? 2081 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: The area of a square is 1024 sq.cm. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of this square ? 2081 05b5cc72ce4d2b4197774f76e
5b5cc72ce4d2b4197774f76e- 114:9false
- 213:12false
- 316:5true
- 417:13false
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उत्तर : 3. "16:5"
व्याख्या :
Answer: C) 16:5 Explanation: Area of a square SxS = 1024 => S = 32 cmLength of the rectangle = 32x2 cm = 64 cmBreadth of the rectangle = 32 - 12 = 20 cmRequired ratio = 64 : 20 = 16 : 5
प्र: 12 as a percentage? 2081 05b5cc696e4d2b4197774c570
5b5cc696e4d2b4197774c570- 150%true
- 25%false
- 30.5%false
- 40.05%false
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उत्तर : 1. "50%"
व्याख्या :
Answer: A) 50% Explanation: 1/2 as a percentage means 1/2 = 0.5 in decimal Now, in percentage means 0.5 x 100% = 50%.
प्र: 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 ? 2080 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 train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: 2080 05b5cc6d6e4d2b4197774e65b
5b5cc6d6e4d2b4197774e65b- 149 kmphtrue
- 250 kmphfalse
- 351 kmphfalse
- 452 kmphfalse
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उत्तर : 1. "49 kmph"
व्याख्या :
Answer: A) 49 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 'x' km/hr. Then, relative speed = (x - 4) km/hr. x - 4 = 45 => x = 49 km/hr.