GATE Practice Question and Answer
8Q: Joel introduces Mary as the daughter of the only son of my father’s wife. How is Joel related to Mary ? 3266 05b5cc6d6e4d2b4197774e698
5b5cc6d6e4d2b4197774e698- 1Daughterfalse
- 2Brotherfalse
- 3Sonfalse
- 4Fathertrue
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Answer : 4. "Father"
Explanation :
Answer: D) Father Explanation: Resolving from the last , In the view of joel,My father’s wife – motherOnly son of mother – himself i.e. joelDaughter of john– daughter. So Joel is Father of Mary.
Q: Simplify the following equation [K-L2-K+L2]4K = a/b 1306 05b5cc6d6e4d2b4197774e674
5b5cc6d6e4d2b4197774e674- 1K = b /afalse
- 2bL = -atrue
- 3KL = 1false
- 4aK = -bfalse
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Answer : 2. "bL = -a"
Explanation :
Answer: B) bL = -a Explanation: [(K-L)2-K+L2]4K = abK2+L2-2KL-K2+L2+2KL4K= ab => - 4KL/4K = a/b => L = - a/b => bL = -a
Q: In a pot, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk, the pot would be full and ratio of milk and water would become 6 : 5. Find the capacity of the pot ? 9617 05b5cc6d6e4d2b4197774e66f
5b5cc6d6e4d2b4197774e66f- 111 litfalse
- 222 littrue
- 333 litfalse
- 444 litfalse
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Answer : 2. "22 lit"
Explanation :
Answer: B) 22 lit Explanation: Let the capacity of the pot be 'P' litres.Quantity of milk in the mixture before adding milk = 4/9 (P - 8)After adding milk, quantity of milk in the mixture = 6/11 P.6P/11 - 8 = 4/9(P - 8)10P = 792 - 352 => P = 44. The capacity of the pot is 44 liters.
Q: Amar can do a piece of work in 10 days. He works at it for 4 days and then Arun finishes it in 9 days. In how many days can Amar and Arun together finish the work ? 5864 05b5cc6d6e4d2b4197774e66a
5b5cc6d6e4d2b4197774e66a- 14 daysfalse
- 28 daysfalse
- 33 daysfalse
- 46 daystrue
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Answer : 4. "6 days"
Explanation :
Answer: D) 6 days Explanation: 4/10 + 9/x = 1 => x = 15 Then both can do in 1/10 + 1/15 = 1/6 => 6 days
Q: The average age of a couple is 24 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child ? 2029 05b5cc6d6e4d2b4197774e665
5b5cc6d6e4d2b4197774e665- 12 yrstrue
- 24 yrsfalse
- 33 yrsfalse
- 45 yrsfalse
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Answer : 1. "2 yrs"
Explanation :
Answer: A) 2 yrs Explanation: 29 x 2 = 5820 x 3 = 60 ----------- 2 years Therefore, the age of child is 2 years.
Q: The cost price of an article is 54% of the marked price. Calculate the gain percent after allowing a discount of 15% ? 1634 05b5cc6d6e4d2b4197774e660
5b5cc6d6e4d2b4197774e660- 151.32 %false
- 249.23 %false
- 348.4 %true
- 446.8 %false
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Answer : 3. "48.4 %"
Explanation :
Answer: C) 48.4 % Explanation: Let marked price = Rs. 100. Then, C.P. = RS. 54, S.P. = Rs. 85Gain % = 31/64 x 100 = 48.4%.
Q: 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: 1659 05b5cc6d6e4d2b4197774e65b
5b5cc6d6e4d2b4197774e65b- 149 kmphtrue
- 250 kmphfalse
- 351 kmphfalse
- 452 kmphfalse
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Answer : 1. "49 kmph"
Explanation :
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.
Q: At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years ? 1418 05b5cc6d6e4d2b4197774e656
5b5cc6d6e4d2b4197774e656- 14.58 %false
- 25.96 %true
- 36.52 %false
- 44.98 %false
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Answer : 2. "5.96 %"
Explanation :
Answer: B) 5.96 % Explanation: Difference in amount = 514 - 415 = 99 99 = (415 x 4 x R)/100 R = 5.96%