GATE Practice Question and Answer
8Q: Solve the equation 122x+1 = 1 ? 4049 05b5cc6f4e4d2b4197774efd7
5b5cc6f4e4d2b4197774efd7- 1-1/2true
- 21/2false
- 31false
- 4-1false
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Answer : 1. "-1/2"
Explanation :
Answer: A) -1/2 Explanation: Rewrite equation as 122x+1 = 120 Leads to 2x + 1 = 0 Solve for x : x = -1/2
Q: A girl introduced a boy as the son of the daughter of the father of her uncle. The boy is girl's ? 1019 05b5cc6f4e4d2b4197774efdc
5b5cc6f4e4d2b4197774efdc- 1Sonfalse
- 2Brothertrue
- 3Cousinfalse
- 4Nephewfalse
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Answer : 2. "Brother"
Explanation :
Answer: B) Brother Explanation: Brother Justification: Daughter of uncle's father -- Uncle's sister -- Mother; Mother's son -- Brother.
Q: What is the maximum velocity with which a body of mass 'm' must enter a vertical loop of radius 'R'so that it can complete the loop? 1402 05b5cc6f1e4d2b4197774ef91
5b5cc6f1e4d2b4197774ef91- 10false
- 2gRfalse
- 32gRfalse
- 45gRtrue
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Answer : 4. "5gR"
Explanation :
Answer: D) D Explanation: To complete the vertical loop, the minimum speed required at the lowest point = 5gR.
Q: Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? ___ utt ___ tt ___ ttu ___ 1988 05b5cc6f1e4d2b4197774ef59
5b5cc6f1e4d2b4197774ef59- 1t t u tfalse
- 2t u t tfalse
- 3t u u ttrue
- 4t t t ufalse
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Answer : 3. "t u u t"
Explanation :
Answer: C) t u u t Explanation: t, u, u and t. The sequence is : tut tut tut tut.
Q: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in ? 1619 05b5cc6f1e4d2b4197774ef3f
5b5cc6f1e4d2b4197774ef3f- 185 minfalse
- 292 minfalse
- 3187 minfalse
- 4144 mintrue
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Answer : 4. "144 min"
Explanation :
Answer: D) 144 min Explanation: Let the slower pipe alone fill the tank in x min. Then, faster pipe will fill it in x/3 min. 1/x + 3/x = 1/36 4/x = 1/36 => x = 144 min.
Q: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ? 3448 05b5cc6eee4d2b4197774ef11
5b5cc6eee4d2b4197774ef11- 12 9/7 kmfalse
- 23 7/5 kmfalse
- 31 3/4 kmfalse
- 44 3/8 kmtrue
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Answer : 4. "4 3/8 km"
Explanation :
Answer: D) 4 3/8 km Explanation: Relative Speed = 5 ¾ - 4 ½ = 1 ¼ Time = 3 ½ h. Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.
Q: Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ? 1085 05b5cc6eee4d2b4197774ef16
5b5cc6eee4d2b4197774ef16- 16000true
- 25400false
- 33800false
- 44700false
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Answer : 1. "6000"
Explanation :
Answer: A) 6000 Explanation: Let 'B' be the nuber of bricks. => 10 x 4/100 x 5 x 90/100 = 25/100 x 15/100 x 8/100 x B => 10 x 20 x 90 = 15 x 2 x B => B = 6000
Q: Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is : 1180 05b5cc6eee4d2b4197774ef09
5b5cc6eee4d2b4197774ef09- 183false
- 289false
- 385true
- 479false
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Answer : 3. "85"
Explanation :
Answer: C) 85 Explanation: Since the numbers are co-prime, they contain only 1 as the common factor.Also, the given two products have the middle number in common.So, middle number = H.C.F of 551 and 1073 = 29;First number = 551/29 = 19Third number = 1073/29 = 37.Required sum = 19 + 29 + 37 = 85.