GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: Solve the equation 122x+1 = 1 ? 4187 05b5cc6f4e4d2b4197774efd7
5b5cc6f4e4d2b4197774efd7- 1-1/2true
- 21/2false
- 31false
- 4-1false
- उत्तर देखें
- Workspace
- SingleChoice
उत्तर : 1. "-1/2"
व्याख्या :
Answer: A) -1/2 Explanation: Rewrite equation as 122x+1 = 120 Leads to 2x + 1 = 0 Solve for x : x = -1/2
प्र: A girl introduced a boy as the son of the daughter of the father of her uncle. The boy is girl's ? 1156 05b5cc6f4e4d2b4197774efdc
5b5cc6f4e4d2b4197774efdc- 1Sonfalse
- 2Brothertrue
- 3Cousinfalse
- 4Nephewfalse
- उत्तर देखें
- Workspace
- SingleChoice
उत्तर : 2. "Brother"
व्याख्या :
Answer: B) Brother Explanation: Brother Justification: Daughter of uncle's father -- Uncle's sister -- Mother; Mother's son -- Brother.
प्र: 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? 1472 05b5cc6f1e4d2b4197774ef91
5b5cc6f1e4d2b4197774ef91- 10false
- 2gRfalse
- 32gRfalse
- 45gRtrue
- उत्तर देखें
- Workspace
- SingleChoice
उत्तर : 4. "5gR"
व्याख्या :
Answer: D) D Explanation: To complete the vertical loop, the minimum speed required at the lowest point = 5gR.
प्र: Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? ___ utt ___ tt ___ ttu ___ 2215 05b5cc6f1e4d2b4197774ef59
5b5cc6f1e4d2b4197774ef59- 1t t u tfalse
- 2t u t tfalse
- 3t u u ttrue
- 4t t t ufalse
- उत्तर देखें
- Workspace
- SingleChoice
उत्तर : 3. "t u u t"
व्याख्या :
Answer: C) t u u t Explanation: t, u, u and t. The sequence is : tut tut tut tut.
प्र: 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 ? 1755 05b5cc6f1e4d2b4197774ef3f
5b5cc6f1e4d2b4197774ef3f- 185 minfalse
- 292 minfalse
- 3187 minfalse
- 4144 mintrue
- उत्तर देखें
- Workspace
- SingleChoice
उत्तर : 4. "144 min"
व्याख्या :
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.
प्र: 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 ? 3546 05b5cc6eee4d2b4197774ef11
5b5cc6eee4d2b4197774ef11- 12 9/7 kmfalse
- 23 7/5 kmfalse
- 31 3/4 kmfalse
- 44 3/8 kmtrue
- उत्तर देखें
- Workspace
- SingleChoice
उत्तर : 4. "4 3/8 km"
व्याख्या :
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.
प्र: 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 ? 1188 05b5cc6eee4d2b4197774ef16
5b5cc6eee4d2b4197774ef16- 16000true
- 25400false
- 33800false
- 44700false
- उत्तर देखें
- Workspace
- SingleChoice
उत्तर : 1. "6000"
व्याख्या :
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
प्र: 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 : 1270 05b5cc6eee4d2b4197774ef09
5b5cc6eee4d2b4197774ef09- 183false
- 289false
- 385true
- 479false
- उत्तर देखें
- Workspace
- SingleChoice
उत्तर : 3. "85"
व्याख्या :
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.