GATE Practice Question and Answer

Q: A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is  ? 2055 0

  • 1
    63
    Correct
    Wrong
  • 2
    31
    Correct
    Wrong
  • 3
    16
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
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Answer : 2. "31"
Explanation :

Answer: B) 31 Explanation: To get the least number of coconuts :LCM = 30 => 30 + 1 = 31

Q: Fill in the blanks with suitable prepositions from the given options. The dog was sitting _______ the table waiting _______ catch the ball that was thrown ________ him _________ his master. 2054 0

  • 1
    below, for, to, by
    Correct
    Wrong
  • 2
    under, for, towards, by
    Correct
    Wrong
  • 3
    up, to, towards, by
    Correct
    Wrong
  • 4
    under, to, towards, by
    Correct
    Wrong
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Answer : 4. "under, to, towards, by"
Explanation :

Answer: D) under, to, towards, by Explanation: The dog was sitting under the table waiting to catch the ball that was thrown towards him by his master.

Q: Rajesh rows in still water with a speed of 4.5 kmph to go to a certain place and comes back. Find his average speed for the whole journey, if the river is flowing with a speed of 1.5 kmph? 2050 0

  • 1
    2 kmph
    Correct
    Wrong
  • 2
    4 kmph
    Correct
    Wrong
  • 3
    6 kmph
    Correct
    Wrong
  • 4
    8 kmph
    Correct
    Wrong
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Answer : 2. "4 kmph"
Explanation :

Answer: B) 4 kmph Explanation: Let the distance in one direction = k kms Speed in still water = 4.5 kmph Speed of river = 1.5 Hence, speed in upstream = 4.5 - 1.5 = 3 kmph Speed in downstream = 4.5 + 1.5 = 6 kmph Time taken by Rajesh to row upwards = k/3 hrs Time taken by Rajesh to row downwards = k/6 hrs Now, required Average speed =Total distanceTotal speed = 2kk3 + k6 = 2k x 186k + 3k = 4 kmph    Therefore, the average speed of the whole journey = 4kmph.

Q: I. a2-7a+12 = 0, II. b2-3b+2 = 0 Solve both the equations to find the values of a and b  ? 2049 0

  • 1
    if a > b
    Correct
    Wrong
  • 2
    if a < b
    Correct
    Wrong
  • 3
    if the relationship between a and b cannot be established.
    Correct
    Wrong
  • 4
    if a ≤ b
    Correct
    Wrong
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Answer : 1. "if a > b"
Explanation :

Answer: A) if a > b Explanation: I.  (a - 3)(a - 4) = 0   => a = 3, 4   II.   (b - 2)(b - 1) = 0   => b = 1, 2   => a > b

Q: A secret can be told to only 3 persons in 3 minutes. Each person in turn tells 3 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way ? 2043 0

  • 1
    88572
    Correct
    Wrong
  • 2
    77854
    Correct
    Wrong
  • 3
    99584
    Correct
    Wrong
  • 4
    55654
    Correct
    Wrong
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Answer : 1. "88572"
Explanation :

Answer: A) 88572 Explanation: Given a secret is told to 3 persons in 3 minutes.And if the process continues with each person saying 3 other persons,In 30 minutes => the rocess for 10 times because each person time is 3 minutes.Required number of persons = 3 + 32 + 33 + .... + 39 + 310   Now it forms a geometric progression,   Sum to n terms is S = arn - 1r - 1   Here a = 3, r = 3  => 59048 x 3 /2   = 88572.

Q: Name a common greenhouse gas containing only hydrogen and oxygen? 2043 0

  • 1
    CH4
    Correct
    Wrong
  • 2
    O3
    Correct
    Wrong
  • 3
    H2O
    Correct
    Wrong
  • 4
    NO
    Correct
    Wrong
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Answer : 3. "H2O"
Explanation :

Answer: C) H2O Explanation: The common greenhouse gas containing only hydrogen and oxygen is H2O, this is water vapor. The common greenhouse gases are water vapor, carbon dioxide, methane, nitrous oxide, and ozone. The composition (chemical formula) of those gases are: Water vapor: H2OCarbon dioxide: CO2Methane: CH4Nitrous oxide: NOOzone: O3. As you see the only one of those that contains only hydrogen and oxygen is H2O, water vapor.

Q: The calendar for the year 2018 will be the same for the year 2041 0

  • 1
    2023
    Correct
    Wrong
  • 2
    2027
    Correct
    Wrong
  • 3
    2029
    Correct
    Wrong
  • 4
    2022
    Correct
    Wrong
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Answer : 3. "2029"
Explanation :

Answer: C) 2029 Explanation: How to find the years which have the same Calendars :   Leap year calendar repeats every 28 years. Here 28 is distributed as 6 + 11 + 11.   Rules: a) If given year is at 1st position after Leap year then next repeated calendar year is Givenyear+6. b) If given year is at 2nd position after Leap year then next repeated calendar year is Givenyear+11. c) If given year is at 3rd position after Leap year then next repeated calendar year is Givenyear+11.   Now, the given year is 2018 We know that 2016 is a Leap year. 2016    2017    2018    2019  2020 Lp Y      1st     2nd      3rd     Lp Y   Here 2018 is at 2 nd position after the Leap year. According to rule b) the calendar of 2018 is repeated for the year is 2018 + 11 = 2029.

Q: What rights does the Declaration of Independence express? 2040 0

  • 1
    The right to remain silent when interrogated by police
    Correct
    Wrong
  • 2
    The right to citizenship
    Correct
    Wrong
  • 3
    Legal rights of citizens
    Correct
    Wrong
  • 4
    Human rights of citizens, including life and liberty
    Correct
    Wrong
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Answer : 3. "Legal rights of citizens"
Explanation :

Answer: C) Legal rights of citizens Explanation: The Declaration of Independence express Legal rights of citizens.

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