GATE Practice Question and Answer

Q: Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case ? 1018 0

  • 1
    1020
    Correct
    Wrong
  • 2
    1040
    Correct
    Wrong
  • 3
    1060
    Correct
    Wrong
  • 4
    1022
    Correct
    Wrong
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Answer : 4. "1022"
Explanation :

Answer: D) 1022 Explanation: Lowest 4-digit number is 1000.LCM of 3, 4 and 5 is 60.Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.Now, add the remainder 2 that's required. Thus, the answer is 1022.

Q: According to a report by New World Wealth, which is the richest city in the world 2018? 1016 0

  • 1
    Tokyo
    Correct
    Wrong
  • 2
    New York
    Correct
    Wrong
  • 3
    London
    Correct
    Wrong
  • 4
    Paris
    Correct
    Wrong
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Answer : 2. "New York"
Explanation :

Answer: B) New York Explanation: New York City, London, and Tokyo are the richest cities in the world 2018, according to their ranks.

Q: What will come in place of question mark (?) in the following number series? 4, 3, 4, 7, 15, ? 1015 0

  • 1
    42
    Correct
    Wrong
  • 2
    44
    Correct
    Wrong
  • 3
    53
    Correct
    Wrong
  • 4
    56
    Correct
    Wrong
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Answer : 2. "44"
Explanation :

Answer: B) 44 Explanation:   4             3             4             7               15        ? ×1-1      ×1+1       ×2-1       ×2+1           ×3-1   15x3 - 1 = 45 - 1 = 44

Q: Find the Missing Numbers in the given Number Puzzle ? 1015 0

  • 1
    169 & 81
    Correct
    Wrong
  • 2
    67 & 121
    Correct
    Wrong
  • 3
    64 & 115
    Correct
    Wrong
  • 4
    70 & 110
    Correct
    Wrong
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Answer : 1. "169 & 81"
Explanation :

Answer: A) 169 & 81 Explanation: Observe that in each column, square of sum of digits in the first row = Respective second row elements.   In the same way, square of sum of digits in the second row = Respective third row elements.   => 6+42=102=100   => 4+92=132=169   => 8+12=92=81.

Q: A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work  ? 1015 0

  • 1
    8.7 hrs
    Correct
    Wrong
  • 2
    5.2 hrs
    Correct
    Wrong
  • 3
    5 hrs
    Correct
    Wrong
  • 4
    7.5 hrs
    Correct
    Wrong
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Answer : 4. "7.5 hrs"
Explanation :

Answer: D) 7.5 hrs Explanation: Ratio of times taken by A and B = 160 : 100A can do the work in 12 daysLet B can do the work in "D" days=> 160:100 = 12 : D=> D = 12 x 100/160 = 7.5 hrs

Q: A man can row 8 kmh in still water. If the river is running at 2 kmh, it takes 4 hrs more upstream than to go downstream for the same distance. Then the distance is given by 1014 0

  • 1
    54 kms
    Correct
    Wrong
  • 2
    32 kms
    Correct
    Wrong
  • 3
    45 kms
    Correct
    Wrong
  • 4
    60 kms
    Correct
    Wrong
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Answer : 4. "60 kms"
Explanation :

Answer: D) 60 kms Explanation: Let the distance be d.  d8-2-d8+2 = 4   => 2d = 120    => d = 60 kms.

Q: Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds? 1014 0

  • 1
    1:7
    Correct
    Wrong
  • 2
    7:1
    Correct
    Wrong
  • 3
    2:3
    Correct
    Wrong
  • 4
    3:2
    Correct
    Wrong
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Answer : 1. "1:7"
Explanation :

Answer: A) 1:7 Explanation: Let the speed of the trains be x and y respectively length of train1 = 47xlength of train2 = 31yRelative speed= x + yTime taken to cross each other = 33 s=> 47x+31yx+y= 33=> (47x + 31 y) = 33(x + y)=> 14x = 2y=> x/y = 2/14 = 1/7  = 1:7

Q: 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it ? 1013 0

  • 1
    40 days
    Correct
    Wrong
  • 2
    36 days
    Correct
    Wrong
  • 3
    32 days
    Correct
    Wrong
  • 4
    34 days
    Correct
    Wrong
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Answer : 1. "40 days"
Explanation :

Answer: A) 40 days Explanation: Let 1 man's 1 day work = x and 1 woman's 1 day work = y.Then, 4x + 6y = 1/8 and 3x + 7y = 1/10Solving these two equations, we get:x = 11/400 and y = 1/40010 woman's 1 day work = (1/400 x 10) = 1/40. Hence, 10 women will complete the work in 40 days.

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