GATE Practice Question and Answer

Q: A train sets off at 3 p.m. at the speed of 70 kmph. Another train starts at 4:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet ? 2333 0

  • 1
    10:10 pm
    Correct
    Wrong
  • 2
    9:50 pm
    Correct
    Wrong
  • 3
    11:30 pm
    Correct
    Wrong
  • 4
    10:30 pm
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "11:30 pm"
Explanation :

Answer: C) 11:30 pm Explanation: Distance = 70 x 1 ½ = 105 km Relative Speed = 85 – 70 = 15 Time = 105/15 = 7 hrs 4:30 + 7 hrs = 11.30 p.m.

Q: A motorboat goes 8 km an hour in still water, but takes thrice as much time in going the same distance against the current than going with the current. Then find the speed of the current? 2332 0

  • 1
    4 kmph
    Correct
    Wrong
  • 2
    6 kmph
    Correct
    Wrong
  • 3
    3 kmph
    Correct
    Wrong
  • 4
    2 kmph
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "4 kmph"
Explanation :

Answer: A) 4 kmph Explanation: Let the speed of current = 'C' km/hr   Given the speed of boat in still water = 6 kmph   Let 'd' kms be the distance it covers.   According to the given data,   Boat takes thrice as much time in going the same distance against the current than going with the current   i.e, d8 - C = 3 × d8 + C   ⇒ 24 - 3C = 8 + C⇒ 4C = 16⇒ C = 4 kmph   Hence, the speed of the current C = 4 kmph.

Q: Which fraction comes next in the sequence 23, 13, 527, 781, ? 2326 0

  • 1
    1/27
    Correct
    Wrong
  • 2
    11/278
    Correct
    Wrong
  • 3
    9/48
    Correct
    Wrong
  • 4
    7/123
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "1/27"
Explanation :

Answer: A) 1/27 Explanation: Clearly, the numerators of the fractions in the given sequence follow the series of 2, 3, 5, 7,... and the denominator follows 3, 9, 27, 81, 243, ...Then, the next term in the given sequence is  935 = 9243 = 127 .

Q: Which expression is equivalent to i233? 2324 0

  • 1
    i
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    -i
    Correct
    Wrong
  • 4
    -1
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "i"
Explanation :

Answer: A) i Explanation: We know that, i2 = -1i3 = i2 x i = -1 x i = -ii4 = i2 x i2 = -1 x -1 = 1Hence, i233  =i4 x 58 + 1 = i232 x i1 = 1 x i = i

Q: Points that lie on the same line are called 2324 0

  • 1
    Congruent
    Correct
    Wrong
  • 2
    Coplanar points
    Correct
    Wrong
  • 3
    Collinear points
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "Collinear points"
Explanation :

Answer: C) Collinear points Explanation: Points that lie on the same line are called Collinear points. And that points lie on the same plane are called Coplanar points.

Q: A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately? 2324 0

  • 1
    20
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    17
    Correct
    Wrong
  • 4
    22
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "20"
Explanation :

Answer: A) 20 Explanation: Given height of the conical tent = 3 m Diameter = 10 => Radius = D/2 = 10/2 = 5 m  Now, as the tent is in the conical form Volume of the conical tent = πr2h3  => (22 x 5 x 5 x 3) / (7 x 3)  = 22 x 25/7  = 78.54 cu.m  Given each person requires 3.92 cu.m of air  => Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20

Q: Only if Sheela is happy, then she does not go to work. 2323 0

  • 1
    Sheela is not happy and she goes to work.
    Correct
    Wrong
  • 2
    Sheela is happy and she does not go to work
    Correct
    Wrong
  • 3
    Sheela is not happy and she does not go to work.
    Correct
    Wrong
  • 4
    Sheela is happy and she goes to work.
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Sheela is not happy and she goes to work."
Explanation :

Answer: A) Sheela is not happy and she goes to work. Explanation: The event of "Sheela is not going to work" happens only when the event "Sheela is happy" happens. Also, if the event "Sheela is happy" does not happen, then the event "Sheela is not going to work" will not happen. In other words, if it is true that Sheela is not happy, then it means that Sheela is going to work.

Q: The clipboard 2323 1

  • 1
    is a Cache memory
    Correct
    Wrong
  • 2
    is a feature that stores user information
    Correct
    Wrong
  • 3
    is used to temporarily store, items that has been cut or copied
    Correct
    Wrong
  • 4
    is a feature that saves file temporarily
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "is used to temporarily store, items that has been cut or copied"
Explanation :

Answer: C) is used to temporarily store, items that has been cut or copied Explanation: A clipboard is a temporary storage area for items that the user wants to cut or copy from one place to another.   For example, in a word processor application, the user might want to cut text from one part of a document and paste it in another part of the document or somewhere else, it is temporarily stored in clipboard.

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully