GATE Practice Question and Answer
8Q: K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ? 3260 15b5cc6f8e4d2b4197774f081
5b5cc6f8e4d2b4197774f081- 1120 daysfalse
- 2119 daysfalse
- 3118 daysfalse
- 4117 daystrue
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Answer : 4. "117 days"
Explanation :
Answer: D) 117 days Explanation: K's work in a day(1st day) = 1/30L's work in a day(2nd day)= -1/60(demolishing)hence in 2 days, combined work= 1/30 - 1/60 =1/60since both works alternatively, K will work in odd days and L will work in even days.1/60 unit work is done in 2 days58/60 unit work will be done in 2 x 58 days = 116 daysRemaining work = 1-58/60 = 1/30Next day, it will be K's turn and K will finish the remaining 1/30 work.hence total days = 116 + 1 = 117.
Q: Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ? 3256 05b5cc6ebe4d2b4197774eeaa
5b5cc6ebe4d2b4197774eeaa- 1A = 48000 B = 40000 C = 30000false
- 2A = 30000 B = 40000 C = 48000true
- 3A = 30000 B = 48000 C = 40000false
- 4A = 40000 B = 48000 C = 30000false
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Answer : 2. "A = 30000 B = 40000 C = 48000"
Explanation :
Answer: B) A = 30000 B = 40000 C = 48000 Explanation: Compound ratio of A:B:CA:B = 3:4B:C = 5:6----------A:B:C = 15:20:24 We can divide Rs.118000 in this ratio. Share of A = 15/59 x 118000 = 30000 Share of B = 20/59 x 118000 = 40000 Share of C = 24/59 x 118000 = 48000
Q: In a certain code ARCHIVE is written as DSBGFWJ. How is SYSTEMS is written in that code ? 3250 05b5cc75ee4d2b4197774fcf8
5b5cc75ee4d2b4197774fcf8- 1TZTSTUNfalse
- 2TZTSTNFtrue
- 3TZTUTNFfalse
- 4TZTNTFSfalse
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Answer : 2. "TZTSTNF"
Explanation :
Answer: B) TZTSTNF Explanation: ARC -> CRA ->(+1) DSB H -> H ->(-1) GIVE -> EVI ->(+1) FWJ Similarly, SYS -> SYS ->(+1) TZT T -> T ->(-1) SEMS -> SME ->(+1) TNF
Q: Find the next number in the given number series? 50, 51, 47, 56, 40, ? 3241 05b5cc669e4d2b4197774bf52
5b5cc669e4d2b4197774bf52- 158false
- 265true
- 376false
- 481false
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Answer : 2. "65"
Explanation :
Answer: B) 65 Explanation: The given number series is 50, 51, 47, 56, 40, ? 5050 + 12 = 5151 - 22 = 4747 + 32 = 5656 - 42 = 4040 + 52 = 65 Hence, the next number in the given number series is 65.
Q: Find the odd one out of the following number series? 9 5 6 14 56 488 3237 05b5cc66de4d2b4197774bfb0
5b5cc66de4d2b4197774bfb0- 156true
- 26false
- 314false
- 45false
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Answer : 1. "56"
Explanation :
Answer: A) 56 Explanation: The given number series follows a pattern that, 9 9 x 0.5 + 0.5 = 5 5 x 1 + 1 = 6 6 x 2 + 2 = 14 14 x 4 + 4 = 60 (not equals to 56) 60 x 8 + 8 = 488. Hence, the odd one in the given number series is 56.
Q: If the third day of a month is Tuesday, which of the following would be the 4th day before the 27th day of that month? 3233 15b5cc7f3e4d2b41977751ed9
5b5cc7f3e4d2b41977751ed9- 1Tuesdayfalse
- 2Mondaytrue
- 3Wednesdayfalse
- 4Sundayfalse
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Answer : 2. "Monday"
Explanation :
Answer: B) Monday Explanation: Dates on which Tuesday fall are 3,10,17, and 24 Hence, the 27th day of the month will be (Tuesday + 3 days=)Friday Required day of the month = Friday - 4 = Monday
Q: On a ruler's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the ruler live to be ? 3218 05b5cc741e4d2b4197774f981
5b5cc741e4d2b4197774f981- 184 yearstrue
- 272 yearsfalse
- 382 yearsfalse
- 464 yearsfalse
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Answer : 1. "84 years"
Explanation :
Answer: A) 84 years Explanation: Let the age of ruler is x so that of son = x/2 (given)Now according to the given condition (x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x=> x = 84
Q: The ratio of male and female in a city is 7 : 8 respectively and percentage of children among male and female is 25 and 20 respectively. If number of adult females is 156800, what is the total population of the city? 3214 05b5cc6bee4d2b4197774d9c9
5b5cc6bee4d2b4197774d9c9- 14,12,480false
- 23,67,500true
- 35,44,700false
- 42,98,948false
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Answer : 2. "3,67,500"
Explanation :
Answer: B) 3,67,500 Explanation: Let the total population be 'p' Given ratio of male and female in a city is 7 : 8 In that percentage of children among male and female is 25% and 20% => Adults male and female % = 75% & 80% But given adult females is = 156800 => 80%(8p/15) = 156800 => 80 x 8p/15 x 100 = 156800 => p = 156800 x 15 x 100/80 x 8 => p = 367500 Therefore, the total population of the city = p = 367500