GATE Practice Question and Answer

Q: A jogger running at 9 km/hr along side a railway track is 260 m ahead of the engine of a 140 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger ? 1895 0

  • 1
    25 sec
    Correct
    Wrong
  • 2
    40 sec
    Correct
    Wrong
  • 3
    38 sec
    Correct
    Wrong
  • 4
    32 sec
    Correct
    Wrong
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Answer : 2. "40 sec"
Explanation :

Answer: B) 40 sec Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.= 36 x 5/18 = 10 m/sec. Distance to be covered = 260 + 140 = 400 m. Time taken = 400/10 = 40 sec.

Q: Which choice best describes the polarity of BrF5? 1895 0

  • 1
    nonpolar bonds / nonpolar molecule
    Correct
    Wrong
  • 2
    nonpolar bonds / polar molecule
    Correct
    Wrong
  • 3
    polar bonds / polar molecule
    Correct
    Wrong
  • 4
    polar bonds / nonpolar molecule
    Correct
    Wrong
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Answer : 3. "polar bonds / polar molecule"
Explanation :

Answer: C) polar bonds / polar molecule Explanation:

Q: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ? 1894 0

  • 1
    42 sec
    Correct
    Wrong
  • 2
    44 sec
    Correct
    Wrong
  • 3
    46 sec
    Correct
    Wrong
  • 4
    48 sec
    Correct
    Wrong
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Answer : 4. "48 sec"
Explanation :

Answer: D) 48 sec Explanation: Relative speed = 60 + 90 = 150 km/hr. = 150 x 5/18 = 125/3 m/sec. Distance covered = 1.10 + 0.9 = 2 km = 2000 m. Required time = 2000 x 3/125 = 48 sec.

Q: Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is  ? 1894 0

  • 1
    5
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 1. "5"
Explanation :

Answer: A) 5 Explanation: Let the number be x. Then,   3x2 - 4x = x + 50   3x2- 5x - 50 = 0   (3x + 10)(x - 5) = 0   x = 5

Q: Find the next number in the following number series? 410, 409, 413, 404, ? 1893 0

  • 1
    412
    Correct
    Wrong
  • 2
    415
    Correct
    Wrong
  • 3
    418
    Correct
    Wrong
  • 4
    420
    Correct
    Wrong
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Answer : 4. "420"
Explanation :

Answer: D) 420 Explanation: The given number series 410, 409, 413, 404, ? , follows a pattern that  410 410 - 13 = 409409 + 22 = 413413 - 33 = 404404 + 42 = 420   Hence, the next number in the given series is 420.

Q: "National Youth Day" is celebrated on which day ? 1893 0

  • 1
    January 15
    Correct
    Wrong
  • 2
    January 14
    Correct
    Wrong
  • 3
    January 17
    Correct
    Wrong
  • 4
    January 12
    Correct
    Wrong
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Answer : 4. "January 12"
Explanation :

Answer: D) January 12 Explanation: National Youth Day is celebrated in India on 12 January on the birthday of Swami Vivekananda. In 1984 the Government of India declared the day as the National Youth Day and since 1985 the event is celebrated in India every year.

Q: What is so delicate that even mentioning it breaks it? 1893 0

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Answer :
Explanation :

Silence is what is so delicate that even mentioning it breaks it.

Q: What is Latus Rectum of Parabola? 1892 0

  • 1
    line segment
    Correct
    Wrong
  • 2
    vertex
    Correct
    Wrong
  • 3
    focus
    Correct
    Wrong
  • 4
    major axis
    Correct
    Wrong
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Answer : 1. "line segment"
Explanation :

Answer: A) line segment Explanation: As parabola is a locus of a point, which moves so that its distance from focus and directrix is always equal.   The latus rectum of a conic section is the chord (line segment) that passes through the focus, is perpendicular to the major axis and has both endpoints on the curve. The length of the latus rectum is determined differently for each conic.                                          The length of a parabola's latus rectum is 4p, where p is the distance from the focus to the vertex.

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