GATE Practice Question and Answer

Q: What belongs to you but is used more by others? 1376 0

  • 1
    Clothes
    Correct
    Wrong
  • 2
    Cosmetics
    Correct
    Wrong
  • 3
    Shoes
    Correct
    Wrong
  • 4
    Name
    Correct
    Wrong
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Answer : 4. "Name"
Explanation :

Answer: D) Name Explanation: Yep! It's your NAME that belongs to you but is used more by others than you.

Q: The length of a rope in meter by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is ? 1374 0

  • 1
    15 mts
    Correct
    Wrong
  • 2
    30 mts
    Correct
    Wrong
  • 3
    24 mts
    Correct
    Wrong
  • 4
    36 mts
    Correct
    Wrong
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Answer : 2. "30 mts"
Explanation :

Answer: B) 30 mts Explanation: The cow can graze an area of 2826 sq.m i.e it is able to cover area of circle of 2826 sq.m   Therefore, πr2 =2826r2 =(2826×7/22) = 899.18 = 900r = 30 m.   Therefore, the radius of the circle implies the length of the rope = 30 mts.

Q: 112 × 54 = 1374 0

  • 1
    68947
    Correct
    Wrong
  • 2
    69874
    Correct
    Wrong
  • 3
    70000
    Correct
    Wrong
  • 4
    76000
    Correct
    Wrong
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Answer : 3. "70000"
Explanation :

Answer: C) 70000 Explanation: 112 × 54112 × 1024= 112 × 1000024= 1120000/16 = 70,000.

Q: A train covered k km at 40 kmph and another 2k km at 20 kmph. Find the average speed of the train in covering the entire 3k km ? 1373 0

  • 1
    28 kmph
    Correct
    Wrong
  • 2
    24 kmph
    Correct
    Wrong
  • 3
    26 kmph
    Correct
    Wrong
  • 4
    32 kmph
    Correct
    Wrong
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Answer : 2. "24 kmph"
Explanation :

Answer: B) 24 kmph Explanation: Total time taken = k/40 + 2k/20 hours = 5k/40 = k/8 hours Average speed = 3k/(k/8) = 24 kmph.

Q: There are n boxes and m fruits. If we put 3 fruits in each box 3 fruits will be excess. If we put 4 fruits in each box 1 box will be excess. Find number of boxes and fruits ? 1373 0

  • 1
    3 & 9
    Correct
    Wrong
  • 2
    6 & 19
    Correct
    Wrong
  • 3
    7 & 24
    Correct
    Wrong
  • 4
    5 & 18
    Correct
    Wrong
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Answer : 3. "7 & 24"
Explanation :

Answer: C) 7 & 24 Explanation: 7 boxes & 24 Balls.Let, n = No. of boxes ; m = No. of fruits3n+3 = m---------->(1)4(n-1)= m---------->(2)=>4n-4 = 3n+3;=>4n-3n = 4+3n = 7Put n=7 in eqn(1)=> 3(7)+3 = m21+3 = mm = 24; Number of boxes = 7 and fruits = 24

Q: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is  ? 1371 0

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

Answer: D) 3 : 2 Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 => 27 x + 17 y = 23 x + 23 y => 4 x = 6 y => x/y = 3/2.

Q: Guess the Hidden Alphabet in this Puzzle ? 1370 0

  • 1
    X
    Correct
    Wrong
  • 2
    Y
    Correct
    Wrong
  • 3
    B
    Correct
    Wrong
  • 4
    D
    Correct
    Wrong
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Answer : 1. "X"
Explanation :

Answer: A) X Explanation: The logic in the given puzzle is  Addition of numeric values of corresponding letters in the first three figures gives respective corresponding letter in fourth figure.  i.e, A = 1 , W = 23 , B = 2 => 2 + 1 + 23 =26 = 'Z' Similarly, L = 12, K = 11 , A = 1 => 1 + 11 + 12 = 24 = 'X' Here the missing letter is 'X'.

Q: On the occasion of New Year, each student of a class sends greeting cards to the others. If there are 21 students in the class, what is the total number of greeting cards exchanged by the students? 1370 0

  • 1
    380
    Correct
    Wrong
  • 2
    420
    Correct
    Wrong
  • 3
    441
    Correct
    Wrong
  • 4
    400
    Correct
    Wrong
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Answer : 2. "420"
Explanation :

Answer: B) 420 Explanation: Given total number of students in the class = 21   So each student will have 20 greeting cards to be send or receive (21 - 1(himself))   Therefore, the total number of greeting cards exchanged by the students = 20 x 21 = 420.

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