GATE Practice Question and Answer
8Q: K men agree to donate a gift of Rs. L to trust. If three men drop out how much more will each have to contribute towards the purchase of the gift ? 1386 05b5cc74fe4d2b4197774fb44
5b5cc74fe4d2b4197774fb44- 1L / (k-3)false
- 2k / (L-3)false
- 32K / 3L-Kfalse
- 43L / K(K-3)true
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Answer : 4. "3L / K(K-3)"
Explanation :
Answer: D) 3L / K(K-3) Explanation: Intial contribution = L/KAfter 3 men drop, then contribution =L/K-3The amount more to pay in contribution = LK-3 - LK = 3LK(K-3)
Q: In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ? 1386 05b5cc6f4e4d2b4197774efe6
5b5cc6f4e4d2b4197774efe6- 1138 to 164false
- 2125 to 147false
- 3148 to 158false
- 4152 to 164true
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Answer : 4. "152 to 164"
Explanation :
Answer: D) 152 to 164 Explanation: A+7B=112 it is clear that A = 14, then it becomes A>=B, but A is smallest angle) givenso, range of A is 0.0001 to 13.9999 ( I am taking upto 4 decimal places)so, range of B becomes 14 to 16 ( after rounding off to 4 decimal places)so, range of C becomes 152 to 164 ( after rounding off to 4 decimal places)
Q: How many weekends in a year? 1386 05b5cc6afe4d2b4197774d244
5b5cc6afe4d2b4197774d244- 152false
- 253false
- 3103false
- 4104true
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Answer : 4. "104"
Explanation :
Answer: D) 104 Explanation: In normal we have 104 Weekend Days. We know that a Each normal year has 365 days or 52 weeks plus one day, and each week has two weekend days, which means there are approximately 104 weekend days each year. Whereas in a leap year we have 366 days it adds one more day to the year. And what makes the change is the starting day of the year.
Q: In 1990 a person is 15 years old. In 2000 that same person is 5 years old. How can this be possible? 1386 05b5cc6b1e4d2b4197774d322
5b5cc6b1e4d2b4197774d322- Show AnswerHide Answer
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Answer :
Explanation :
It can be possible in only B.C. i.e, Before Christ. That was about 2000 years ago. Given In 1990 B.C = 2000 + 1990 = 3990 years ago, a person is 15 years Old => In 1995 B.C = 2000 + 1995 = 3995 years ago, the same person will be 10 years Old Therefore, In 2000 B.C = 2000 + 2000 = 4000 years ago, the same person will be 5 years Old.
Q: How many years it takes for Pluto to Orbit the Sun? 1385 05b5cc6bce4d2b4197774d8b6
5b5cc6bce4d2b4197774d8b6- 176 yrsfalse
- 2144 yrsfalse
- 3198 yrsfalse
- 4248 yrstrue
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Answer : 4. "248 yrs"
Explanation :
Answer: D) 248 yrs Explanation: It takes 248 yrs for Pluto to orbit the Sun.
Q: 6 : 18 :: 4 : ? 1384 05b5cc6b5e4d2b4197774d520
5b5cc6b5e4d2b4197774d520- 114false
- 26false
- 316false
- 48true
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Answer : 4. "8"
Explanation :
Answer: D) 8 Explanation: Here the given number analogy follows two patterns that, 6 18 --> 6 x 3 4 12 --> 4 x 3 OR 6 18 ----> 6x6/2 = 18 4 8 ----> 4x4/2 = 8 As 12 is not available in the options, 8 is correct answer.
Q: The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is: 1383 05b5cc6dfe4d2b4197774eae9
5b5cc6dfe4d2b4197774eae9- 130true
- 227false
- 323false
- 433false
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Answer : 1. "30"
Explanation :
Answer: A) 30 Explanation: Then, A:B = 2:3 and B:C = 5:8= (5 x 3/5) : (8 x 3/5) = 3:24/5A:B:C = 2:3:24/5= 10:15:24 => B = 98 x 15/49 = 30.
Q: K, L and M can do a piece of work in 20, 30 and 60 days respectively. In how many days can K do the total work if he is assisted by L and M on every third day ? 1382 05b5cc754e4d2b4197774fb86
5b5cc754e4d2b4197774fb86- 115 daystrue
- 213 daysfalse
- 312 daysfalse
- 410 daysfalse
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Answer : 1. "15 days"
Explanation :
Answer: A) 15 days Explanation: In one day work done by K = 1/20 Work done by K in 2 days = 1/10 Work done by K,L,M on 3rd day =1/20 + 1/30 + 1/60 = 1/10 Therefore, workdone in 3 days is = 1/10 + 1/10 = 1/5 1/5th of the work will be completed at the end of 3 days. The remaining work = 1 - 1/5 = 4/5 1/5 of work is completed in 3 days Total work wiil be done in 3 x 5 = 15 days.

