GATE Practice Question and Answer
8Q: A work which could be finished in 11 days was finished 4 days earlier after 4 more men joined. The number of men employed was ? 1394 05b5cc6e1e4d2b4197774ebb6
5b5cc6e1e4d2b4197774ebb6- 17true
- 28false
- 39false
- 410false
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Answer : 1. "7"
Explanation :
Answer: A) 7 Explanation: As the work is sameM1D1 = M2D2 Here Let the number of men employed was M=> 11M = 7(M+4)=> 11M - 7M = 28=> M = 7
Q: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ? 2577 05b5cc6e1e4d2b4197774ebb1
5b5cc6e1e4d2b4197774ebb1- 1Rs. 820false
- 2Rs. 830true
- 3Rs. 840false
- 4Rs. 850false
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Answer : 2. "Rs. 830"
Explanation :
Answer: B) Rs. 830 Explanation: Let the total amount in the partnership be 'x'.Then A's share = x/3B's share = x/4C's share = x/5D's share = x - (x/3 + x/4 +x/5) = 13x/60 A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13 A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.
Q: The number of sequences in which 4 players can sing a song, so that the youngest player may not be the last is ? 1202 05b5cc6e1e4d2b4197774ebac
5b5cc6e1e4d2b4197774ebac- 12580false
- 23687false
- 34320true
- 45460false
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Answer : 3. "4320"
Explanation :
Answer: C) 4320 Explanation: Let 'Y' be the youngest player. The last song can be sung by any of the remaining 3 players. The first 3 players can sing the song in (3!) ways. The required number of ways = 3(3!) = 4320.
Q: An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 600 km from the starting point ? 942 05b5cc6e1e4d2b4197774eba7
5b5cc6e1e4d2b4197774eba7- 16 hrs 24 minfalse
- 26 hrsfalse
- 37 hrs 21 minfalse
- 46 hrs 28 mintrue
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Answer : 4. "6 hrs 28 min"
Explanation :
Answer: D) 6 hrs 28 min Explanation: Time taken to cover 600 km = 600/100 = 6 hrs. Number of stoppages = 600/75 - 1 = 7 Total time of stoppages = 4 x 7 = 28 min Hence, total time taken = 6 hrs 28 min.
Q: If 35% of a number is 24 less than 50% of that number, then the number is ? 1182 05b5cc6e1e4d2b4197774eba2
5b5cc6e1e4d2b4197774eba2- 180false
- 2160true
- 3100false
- 4120false
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Answer : 2. "160"
Explanation :
Answer: B) 160 Explanation: Let the number be n. Then, 50% of n - 35% of n = 24 50/100 n - 35/100 n = 24 n = (24 x 100)/15 = 160.
Q: The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of ? 5891 05b5cc6e0e4d2b4197774eb98
5b5cc6e0e4d2b4197774eb98- 14:5false
- 26:5true
- 33:2false
- 41:3false
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Answer : 2. "6:5"
Explanation :
Answer: B) 6:5 Explanation: 4:5 3:2 -------=> 12:15:10 12:10 => 6:5
Q: Two trains of equal length are running on parallel lines in the same direction at 36 km/hr and 26 km/hr. The faster train passes the slower train in 36 sec. The length of each train is ? 916 05b5cc6e0e4d2b4197774eb93
5b5cc6e0e4d2b4197774eb93- 128 mtsfalse
- 254 mtsfalse
- 324 mtsfalse
- 450 mtstrue
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Answer : 4. "50 mts"
Explanation :
Answer: D) 50 mts Explanation: Let the length of each train be x mts. Then, distance covered = 2x mts. Relative speed = 36 - 26 = 10 km/hr. = 10 x 5/18 = 25/9 m/sec. 2x/36 = 25/9 => x = 50 mts.
Q: How much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest ? 1224 05b5cc6e0e4d2b4197774eb8e
5b5cc6e0e4d2b4197774eb8e- 14 yearstrue
- 22.5 yearsfalse
- 33.5 yearsfalse
- 42 yearsfalse
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Answer : 1. "4 years"
Explanation :
Answer: A) 4 years Explanation: Time = (100 x 81) / (450 x 4.5) = 4 years.