GATE Practice Question and Answer

Q: Find the total numbers greater than 4000 that can be formed with digits 2, 3, 4, 5, 6 no digit being repeated in any number ? 1467 0

  • 1
    120
    Correct
    Wrong
  • 2
    256
    Correct
    Wrong
  • 3
    192
    Correct
    Wrong
  • 4
    244
    Correct
    Wrong
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Answer : 3. "192"
Explanation :

Answer: C) 192 Explanation: We are having with digits 2, 3, 4, 5 & 6 and numbers greater than 4000 are to be formed, no digit is repeated.   The number can be 4 digited but greater than 4000 or 5 digited.   Number of 4 digited numbers greater than 4000 are4 or 5 or 6 can occupy thousand place => 3 x P34 = 3 x 24 = 72.    5 digited numbers = P55 = 5! = 120  So the total numbers greater than 4000 = 72 + 120 = 192

Q: Which of the following is not a monosaccharide? 1466 0

  • 1
    Fructose
    Correct
    Wrong
  • 2
    Glucose
    Correct
    Wrong
  • 3
    Galactose
    Correct
    Wrong
  • 4
    Sucrose
    Correct
    Wrong
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Answer : 4. "Sucrose"
Explanation :

Answer: D) Sucrose Explanation: Sucrose is not a monosaccharide.   Monosaccharides are simple carbohydrates molecules that cannot be broken down into smaller molecules of other carbohydrates.   Glucose, galactose and fructose are examples of Monosaccharides.

Q: Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m. ? 1465 0

  • 1
    20 kmph
    Correct
    Wrong
  • 2
    18 kmph
    Correct
    Wrong
  • 3
    12 kmph
    Correct
    Wrong
  • 4
    16 kmph
    Correct
    Wrong
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Answer : 3. "12 kmph"
Explanation :

Answer: C) 12 kmph Explanation: Let the distance traveled be x km.Then, x/10 - x/15 = 23x - 2x = 60 => x = 60 km.Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs.So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.Required speed = 60/5 = 12 kmph.

Q: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ? 1465 0

  • 1
    45 kmph
    Correct
    Wrong
  • 2
    25 kmph
    Correct
    Wrong
  • 3
    30 kmph
    Correct
    Wrong
  • 4
    50 kmph
    Correct
    Wrong
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Answer : 4. "50 kmph"
Explanation :

Answer: D) 50 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'S' km/hr. Then, relative speed = (S - 5) km/hr. S - 5 = 45 => S = 50 km/hr.

Q: I make things short but I am pretty long myself. WHAT AM I? 1465 0

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Answer :
Explanation :

I am ABBREVIATION. Yes, i make things short and asks the full form of that thing.   Ex : FCI - Food Corporation of India IAS - Indian Administrative Service.

Q: "Light years" is the unit of _____? 1464 0

  • 1
    Acceleration
    Correct
    Wrong
  • 2
    Distance
    Correct
    Wrong
  • 3
    Light Intensity
    Correct
    Wrong
  • 4
    Weight
    Correct
    Wrong
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Answer : 2. "Distance"
Explanation :

Answer: B) Distance Explanation: A Light-year is a distance that light travels in the vacuum in one Julian year (365.25 days). The light-year is a unit of length used to express astronomical distances. It is about 9.5 trillion kilometers or 5.9 trillion miles.

Q: How many black cards are in a deck? 1464 0

  • 1
    13
    Correct
    Wrong
  • 2
    26
    Correct
    Wrong
  • 3
    39
    Correct
    Wrong
  • 4
    52
    Correct
    Wrong
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Answer : 2. "26"
Explanation :

Answer: B) 26 Explanation: The total cards in the deck are 52. These 52 cards are divided into 4 suits of 13 cards in each suit. Two Red suits and Two black suits. Red suits :: Heart suit and Diamond suit = 26 Black suits :: Spade suit and Club suit = 26.

Q: Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + .... 1464 0

  • 1
    30,400
    Correct
    Wrong
  • 2
    30,200
    Correct
    Wrong
  • 3
    34,600
    Correct
    Wrong
  • 4
    38,400
    Correct
    Wrong
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Answer : 1. "30,400"
Explanation :

Answer: A) 30,400 Explanation: we can treat every two consecutive terms as one.So, we will have a total of 100 terms of the nature:(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,....   We know the sum of n terms  nn+12   Now, a= 7, d=6 and n=100Hence the sum of the given series is S= 100/2 x[2 x 7 + 99 x 6]=> 50[608]=> 30,400.

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