GATE Practice Question and Answer

Q: 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 0

  • 1
    24 lit
    Correct
    Wrong
  • 2
    16 lit
    Correct
    Wrong
  • 3
    32 lit
    Correct
    Wrong
  • 4
    8 lit
    Correct
    Wrong
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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 0

  • 1
    427
    Correct
    Wrong
  • 2
    531
    Correct
    Wrong
  • 3
    651
    Correct
    Wrong
  • 4
    714
    Correct
    Wrong
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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 0

  • 1
    54
    Correct
    Wrong
  • 2
    10
    Correct
    Wrong
  • 3
    45
    Correct
    Wrong
  • 4
    85
    Correct
    Wrong
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Answer : 1. "54"
Explanation :

Answer: A) 54 Explanation: In given Series, all the numbers except 54 are multiples of 5.

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 0

  • 1
    9 3/5 days
    Correct
    Wrong
  • 2
    7 days
    Correct
    Wrong
  • 3
    6 3/7 days
    Correct
    Wrong
  • 4
    8 days
    Correct
    Wrong
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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.

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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 0

  • 1
    30
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    40
    Correct
    Wrong
  • 4
    42
    Correct
    Wrong
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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 1

  • 1
    Economic development in India
    Correct
    Wrong
  • 2
    Health development in India
    Correct
    Wrong
  • 3
    Development of airports in India
    Correct
    Wrong
  • 4
    Rural development in India
    Correct
    Wrong
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Answer : 2. "Health development in India"
Explanation :

Answer: B) Health development in India Explanation:

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