GATE Practice Question and Answer

Q: Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be ? 2824 0

  • 1
    900 mts
    Correct
    Wrong
  • 2
    300 mts
    Correct
    Wrong
  • 3
    250 mts
    Correct
    Wrong
  • 4
    500 mts
    Correct
    Wrong
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Answer : 4. "500 mts"
Explanation :

Answer: D) 500 mts Explanation: Using pythagarous theorem,distance travelled by first train = 36x5/18x30 = 300mdistance travelled by second train = 48x5/18x30 = 400mso distance between them =√( 90000 + 160000) = √250000 = 500mts.

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Answer : 2. "72/5 days"
Explanation :

Answer: B) 72/5 days Explanation: Work done by Shyam and Rahim in 8 days = 8/32 = 1/4 Remaining work to be done by Shyam and Ram = 1 - 1/4 = 3/4 Given efficieny of Ram is half of Rahim i.e, as Rahim can do the work in 48 days, Ram can do the work in 24 days. One day work of Ram and Shyam = (1/32 - 1/48) + 1/24 = 5/96 Hence, the total work can be done by Shyam and Ram together in 96/5 days.   Therefore, remaining work 3/4 can be done by them in 3/4 x 96/5 = 72/5 = 14.4 days.

Q: What is the place value of 6 in 64? 2818 0

  • 1
    6
    Correct
    Wrong
  • 2
    60
    Correct
    Wrong
  • 3
    64
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 2. "60"
Explanation :

Answer: B) 60 Explanation: We know that, ● Each digit has a fixed position called its place. ● Each digit has a value depending on its place called the place value of the digit. ● The face value of a digit for any place in the given number is the value of the digit itself ● Place value of a digit = (face value of the digit) × (value of the place).   Hence, the place value of 6 in 64 = 6 x 10 = 60.

Q: A constructor estimates that 4 people can paint Mr. Karthik's house in 6 days. If he uses 5 people instead of 4, how long will they take to complete the job ? 2814 0

  • 1
    3 days
    Correct
    Wrong
  • 2
    26/3 days
    Correct
    Wrong
  • 3
    13/4 days
    Correct
    Wrong
  • 4
    24/5 days
    Correct
    Wrong
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Answer : 4. "24/5 days"
Explanation :

Answer: D) 24/5 days Explanation: we know that m1 x d1 = m2 x d2=> 4 x 6 = 5 x dwhere d = no. of days taken by 5 men to paintd = 24/5 days.

Q: The ratio of Pens and Pencils in a shop is 3 : 2 respectively. The average number of Pens and Pencils is 180. What is the number of Pencils in the shop? 2814 0

  • 1
    444
    Correct
    Wrong
  • 2
    344
    Correct
    Wrong
  • 3
    244
    Correct
    Wrong
  • 4
    144
    Correct
    Wrong
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Answer : 4. "144"
Explanation :

Answer: D) 144 Explanation: Given ratio of pens and pencils = 3 :2 Number of Pens = 3x Number of Pencils = 2x Average number of pencils & Pens = 3x + 2x2 = 180 5x = 360 => x = 72 Hence, the number of pencils = 2x = 72 x 2 = 144.

Q: Ashwin fires two bullets from the same place at an interval of 15 minutes but Rahul sitting in a bus approaching the place hears the second sound 14 minutes 30 seconds after the first. If sound travels at the speed of 330 meter per second, what is the approximate speed of bus? 2808 0

  • 1
    330/29 m/s
    Correct
    Wrong
  • 2
    330 x 30 m/s
    Correct
    Wrong
  • 3
    330/14 m/s
    Correct
    Wrong
  • 4
    330/900 m/s
    Correct
    Wrong
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Answer : 1. "330/29 m/s"
Explanation :

Answer: A) 330/29 m/s Explanation: Second gun shot take 30 sec to reach rahul imples distance between two. given speed of sound = 330 m/s Now, distance = 330 m/s x 30 sec    Hence, speed of the bus = d/t = 330x30/(14x60 + 30) = 330/29 m/s.

Q: Find the missing number in the series 1, 6,  ?, 15, 45, 66, 91 2806 1

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

Answer: B) 28 Explanation: Here the given series 1, 6,  ?, 15, 45, 66, 91 follows a Pattern in the series is, +5, +9, +13,...,.. +21, +25 So +4 is getting increased at every term addition. Missing Number in the series will be 15+(9+4) = 15 + 13 = 28.

Q: Brass gets discoloured in air because of the presence of which of the following gases in air  ? 2805 0

  • 1
    Hydrogen sulphide
    Correct
    Wrong
  • 2
    Oxygen
    Correct
    Wrong
  • 3
    Nitrogen
    Correct
    Wrong
  • 4
    Carbon dioxide
    Correct
    Wrong
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Answer : 1. "Hydrogen sulphide"
Explanation :

Answer: A) Hydrogen sulphide Explanation:

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