GATE Practice Question and Answer
8Q: In a 48 ltr mixture, the ratio of milk and water is 5:3. How much water should be added in the mixture so as the ratio will become 3:5 ? 1659 05b5cc6c2e4d2b4197774dbff
5b5cc6c2e4d2b4197774dbff- 124 litfalse
- 216 litfalse
- 332 littrue
- 48 litfalse
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Answer : 3. "32 lit"
Explanation :
Answer: C) 32 lit Explanation: Given mixture = 48 lit Milk in it = 48 x 5/8 = 30 lit => Water in it = 48 - 30 = 18 lit Let 'L' lit of water is added to make the ratio as 3:5 => 30/(18+L) = 3/5 => 150 = 54 + 3L => L = 32 lit.
Q: From a group of 7 boys and 6 girls, five persons are to be selected to form a team, so that at least 3 girls are there in the team. In how many ways can it be done? 1658 05b5cc675e4d2b4197774c115
5b5cc675e4d2b4197774c115- 1427false
- 2531true
- 3651false
- 4714false
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Answer : 2. "531"
Explanation :
Answer: B) 531 Explanation: Given in the question that, there are 7 boys and 6 girls. Team members = 5 Now, required number of ways in which a team of 5 having atleast 3 girls in the team = 6C3 x 7C2 + 6C4 x 7C1 + 6C5= 6x5x43x2x1 x 7x62x1 + 6x5x4x34x3x2x1 x 7 + 6x5x4x3x25x4x3x2x1= 420 + 105 + 6= 531.
Q: 10 25 45 54 60 75 85 Find the Odd Number? 1658 05b5cc6bce4d2b4197774d897
5b5cc6bce4d2b4197774d897- 154true
- 210false
- 345false
- 485false
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Answer : 1. "54"
Explanation :
Answer: A) 54 Explanation: In given Series, all the numbers except 54 are multiples of 5.
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Answer :
Explanation :
Answer 1) 1/3 x (54 x 150 + 60 x 300 + 36 x 450) = 1/3 x 42300 = 14100. Answer 2) Required ratio of chairs = 64 x 450 + 56 x 50036 x 450 + 44 x 500 = 56800/38200 = 284/191. Answer 3) Required number of chairs = 35 x 12100 x 50000= 3600.
Q: P alone can do a piece of work in 24 days. The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work. How many days are required to complete by P and Q working together ? 1657 05b5cc6c2e4d2b4197774dbaa
5b5cc6c2e4d2b4197774dbaa- 19 3/5 daystrue
- 27 daysfalse
- 36 3/7 daysfalse
- 48 daysfalse
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Answer : 1. "9 3/5 days"
Explanation :
Answer: A) 9 3/5 days Explanation: Let the total work be 'W' As per the given information, P can complete the work 'W' in 24 days. => one day work of P = W/24 And also given that, The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work => PW/3 = QW/2 => P's 1 day = W/24 ? = W/3 => ? = 24W/3W = 8 => QW/2 = 8 days => Q alone can complete the work W in 16 days => P + Q can complete the work in 1/24 + 1/16 = 5/48 => 48/5 days = 9 3/5 days.
Q: A Product is supported each week by the same three Product supporters. Last month the first supporter took 440 calls, the second took 360 calls, and the third took 300 calls. This month the job will consists of 1500 calls. If the three supporters each increase their work proportionately, how many more calls will the second supporter take this month than last month ? 1657 05b5cc745e4d2b4197774fa40
5b5cc745e4d2b4197774fa40- 1131 callstrue
- 2160 callsfalse
- 3491 callsfalse
- 4600 callsfalse
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Answer : 1. "131 calls"
Explanation :
Answer: A) 131 calls Explanation: 1st supporter recieve 440 calls 2nd supporter recieve 360 calls 3rd supporter recieve 300 calls So total calls = 1100 calls ; Calls this month= 1500 So remaining calls to be distributed is 400 So Now Ratio 1st:2nd:3rd ==> 440:360:300=> 22:18:15 Now No. of More Calls 2nd supporter will get => [18/(22+18+15)] x 400=> (18/55) x 400 => 131 CallsSo 131 more Calls than last month.
Q: A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is 1657 05b5cc6d9e4d2b4197774e816
5b5cc6d9e4d2b4197774e816- 130false
- 236false
- 340true
- 442false
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Answer : 3. "40"
Explanation :
Answer: C) 40 Explanation: Let distance = x km and usual rate = y kmph.Then, x/y - x/(y+3) = 40/60 --> 2y (y+3) = 9x ----- (i)Also, x/(y-2) - x/y = 40/60 --> y(y-2) = 3x -------- (ii)On dividing (i) by (ii), we get: x = 40 km.
Q: What did the Bhore committee deal with ? 1656 15b5cc77ae4d2b419777500f2
5b5cc77ae4d2b419777500f2- 1Economic development in Indiafalse
- 2Health development in Indiatrue
- 3Development of airports in Indiafalse
- 4Rural development in Indiafalse
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Answer : 2. "Health development in India"
Explanation :
Answer: B) Health development in India Explanation:

