GATE Practice Question and Answer
8Q: When Raj Tarun was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Raj Tarun's brother is 6 years older than Raj Tarun and his mother is 3 years younger than his father, how old was Raj Tarun's sister when Raj Tarun was born ? 2779 05b5cc74ae4d2b4197774fa6d
5b5cc74ae4d2b4197774fa6d- 15false
- 210true
- 315false
- 48false
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Answer : 2. "10"
Explanation :
Answer: B) 10 Explanation: Raj Tarun's age = 0 when he was born.Then, given his brother is 6 years old.Then his father is 6 + 32 = 38 when Raj Tarun was bornAnd his mother is 3 years yonger than his father => so his mother was 35 years old when Raj Tarun was bornand his sister is 25 year younger than his mother so Raj Tarun's sister was 10 years old when Raj Tarun was born.
Q: One paper is equally folded 35 times, then what is the new thickness of the paper ? 2777 05b5cc74ae4d2b4197774fa8b
5b5cc74ae4d2b4197774fa8b- 1T(2^50)true
- 250Tfalse
- 32 x 50 Tfalse
- 4T/50false
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Answer : 1. "T(2^50)"
Explanation :
Answer: A) T(2^50) Explanation: Let initial thickness of the paper be 'T'after first fold it will be '2T' = 21Tafter second fold it will be '4T' = 22T after 50th fold it will be T x (250T)
Q: If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ? 2777 05b5cc6dde4d2b4197774e9dd
5b5cc6dde4d2b4197774e9dd- 118 : 24 : 11false
- 29 : 15 : 1false
- 320 : 15 : 9true
- 421 : 7 : 3false
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Answer : 3. "20 : 15 : 9"
Explanation :
Answer: C) 20 : 15 : 9 Explanation: Given k : l = 4 : 3l : m = 5 : 3 Then k : l : m = 20 : 15 : 9
Q: I have four fingers and a thumb, but not alive. Who am I? 2774 05b5cc615e4d2b4197774b6a7
5b5cc615e4d2b4197774b6a7- Show AnswerHide Answer
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Answer :
Explanation :
A glove. It has 5 fingers as we have but not alive.
Q: 6 men can complete a piece of work in 12 days. 8 women can complete the same piece of work in 18 days whereas 18 children can complete the piece of work in 10 days. 4 men, 12 women and 20 children work together for 2 days. If only men were to complete the remaining work in 1 day how many men would be required totally? 2771 05b5cc6ade4d2b4197774d125
5b5cc6ade4d2b4197774d125- 138false
- 272false
- 336true
- 476false
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Answer : 3. "36"
Explanation :
Answer: C) 36 Explanation: Given 4men, 12 women and 20 children work for 2 days. Workdone for 2 days by 4men, 12 women and 20 children = 4 x 26 x 12 + 12 x 28 x 18 + 20 x 218 x 10 = 12 Therefore, remaining work = 1 - 12 = 12 To complete the same work by only men in 1 day, We know that M1 x D1 = M2 x D2 Here M1 = 6 , D1 = 12 and M2 = M , D2 = 1 12 x 6 = M x 1 => M = 12 x 6 = 72 => But the remaining work = 1/2 Men required => 1/2 x 72 = 36 Only men required to Complete the remaining work in 1 day = 36.
Q: The price of commodity X increases by 60 rupees every year, while the price of commodity Y increases by 20 rupees every year. If in 2002, the price of commodity X was Rs. 320 and that of Y was Rs. 740, in which year commodity X will cost 60 rupees more than the commodity Y ? 2771 05b5cc720e4d2b4197774f645
5b5cc720e4d2b4197774f645- 12011false
- 22014true
- 32012false
- 42017false
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Answer : 2. "2014"
Explanation :
Answer: B) 2014 Explanation: If After p years , commodity X will cost 60 rupees more than the commodity Y, then 320 + 60p = 740 + 20p + 60=> p = 12 So in year (2002 + 12 = 2014), commodity X will cost Rs.60 more than the commodity Y.
Q: FRIEND : FPIBNZ :: PATRON : ? 2768 05b5cc6b1e4d2b4197774d2fe
5b5cc6b1e4d2b4197774d2fe- 1PTYOPIfalse
- 2PYTOPJfalse
- 3PYTOOJtrue
- 4PYTPOJfalse
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Answer : 3. "PYTOOJ"
Explanation :
Answer: C) PYTOOJ Explanation: FRIEND : FPIBNZ Follows a pattern that, F - F R- second letter to left of R i.e, P I - I E - Third letter to left of E i.e, B N - N D - Fourth letter to left of D i.e, Z Similarly, for PATRON P - P A - second letter to left of A i.e, Y T - T R - Third letter to left of R i.e, O O - O N - Fourth letter to left of N i.e, J PATRON : PYTOOJ Therefore, FRIEND : FPIBNZ :: PATRON : PYTOOJ
Q: A trader mixes 36 kg of rice at Rs. 20 per kg with 14 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is: 2760 05b5cc76ae4d2b4197774fe4a
5b5cc76ae4d2b4197774fe4a- 125%false
- 221.14%false
- 322.54%true
- 427.32%false
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Answer : 3. "22.54%"
Explanation :
Answer: C) 22.54% Explanation: C.P. of 50 kg rice = Rs. (36 x 20 + 14 x 36) = Rs. (720 + 504) = Rs.1224. S.P. of 56 kg rice = Rs. (50 x 30) = Rs.1500. Profit = 1500 - 1224 = Rs.276 Profit % = ProfitC.P×100 = 2761224×100 = 22.54%.