GATE Practice Question and Answer

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Answer : 3. "K & L"
Explanation :

Answer: C) K & L Explanation: Monday          - N  - Yellow Tuesday         - L  - White Wednesday    - O  - Red Thursday       - Q  - Orange Friday           - M  - Blue Saturday       - P  - Grey Sunday         - K  - Black From the above table, K & L visits Sunday & Tuesday and their favourite colors are Black and white respectively.

Q: 82.5% of 2360? 2036 0

  • 1
    1960
    Correct
    Wrong
  • 2
    1954
    Correct
    Wrong
  • 3
    1947
    Correct
    Wrong
  • 4
    1931
    Correct
    Wrong
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Answer : 3. "1947"
Explanation :

Answer: C) 1947 Explanation: Given 82.5% of 2360  82.5100 x 2360 = 0.825 x 2360 = 1947

Q: In a hostel, there was food for 1000 students for one month. After 10 days, 1000 more students joined the hostel. How long would the students be able to carry on with the remaining food? 2034 0

  • 1
    10 days
    Correct
    Wrong
  • 2
    15 days
    Correct
    Wrong
  • 3
    20 days
    Correct
    Wrong
  • 4
    5 days
    Correct
    Wrong
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Answer : 1. "10 days"
Explanation :

Answer: A) 10 days Explanation: After 10 days, the remaining food would be sufficient for the 1000 students for 20 more days -->If 1000 more students are added, it shall be sufficient for only 10 days (as the no. of students is doubled, the days are halved).

Q: FRIEND : FPIBNZ :: PATRON : ? 2033 0

  • 1
    PTYOPI
    Correct
    Wrong
  • 2
    PYTOPJ
    Correct
    Wrong
  • 3
    PYTOOJ
    Correct
    Wrong
  • 4
    PYTPOJ
    Correct
    Wrong
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Answer : 3. "PYTOOJ"
Explanation :

Answer: C) PYTOOJ Explanation: FRIEND : FPIBNZ Follows a pattern that, F - F R- second letter to left of R i.e, P I - I E - Third letter to left of E i.e, B N - N D - Fourth letter to left of D i.e, Z Similarly, for PATRON  P - P A -  second letter to left of A i.e, Y T - T R - Third letter to left of R i.e, O O - O N - Fourth letter to left of N i.e, J PATRON : PYTOOJ   Therefore, FRIEND : FPIBNZ :: PATRON : PYTOOJ

Q: When a computer prints a report this output is called 2025 0

  • 1
    Soft copy
    Correct
    Wrong
  • 2
    Hard copy
    Correct
    Wrong
  • 3
    Printing
    Correct
    Wrong
  • 4
    Program
    Correct
    Wrong
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Answer : 2. "Hard copy"
Explanation :

Answer: B) Hard copy Explanation: Hard copy is the output which is printed by the computer.

Q: A box contains 4 different black balls, 3 different red balls and 5 different blue balls. In how many ways can the balls be selected if every selection must have at least 1 black ball and one red ball ? 2025 0

  • 1
    24 - 1
    Correct
    Wrong
  • 2
    2425-1
    Correct
    Wrong
  • 3
    (24-1)(23-1)25
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "(24-1)(23-1)25"
Explanation :

Answer: C) C Explanation: It is explicitly given that all the 4 black balls are different, all the 3 red balls are different and all the 5 blue balls are different. Hence this is a case where all are distinct objects.   Initially let's find out the number of ways in which we can select the black balls. Note that at least 1 black ball must be included in each selection.   Hence, we can select 1 black ball from 4 black ballsor 2 black balls from 4 black balls.or 3 black balls from 4 black balls.or 4 black balls from 4 black balls.   Hence, number of ways in which we can select the black balls   = 4C1 + 4C2 + 4C3 + 4C4= 24-1 ........(A)   Now let's find out the number of ways in which we can select the red balls. Note that at least 1 red ball must be included in each selection.   Hence, we can select 1 red ball from 3 red ballsor 2 red balls from 3 red ballsor 3 red balls from 3 red balls   Hence, number of ways in which we can select the red balls= 3C1 + 3C2 + 3C3=23-1........(B)   Hence, we can select 0 blue ball from 5 blue balls (i.e, do not select any blue ball. In this case, only black and red balls will be there)or 1 blue ball from 5 blue ballsor 2 blue balls from 5 blue ballsor 3 blue balls from 5 blue ballsor 4 blue balls from 5 blue ballsor 5 blue balls from 5 blue balls.   Hence, number of ways in which we can select the blue balls= 5C0 + 5C1 + 5C2 + … + 5C5= 25..............(C)   From (A), (B) and (C), required number of ways=  2524-123-1

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? 2023 0

  • 1
    4 kmph
    Correct
    Wrong
  • 2
    6 kmph
    Correct
    Wrong
  • 3
    3 kmph
    Correct
    Wrong
  • 4
    2 kmph
    Correct
    Wrong
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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: How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ? 2023 0

  • 1
    59
    Correct
    Wrong
  • 2
    60
    Correct
    Wrong
  • 3
    61
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
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Answer : 2. "60"
Explanation :

Answer: B) 60 Explanation: The given digits are 1, 2, 3, 5, 7, 9   A number is even when its units digit is even. Of the given digits, two is the only even digit.Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.   Number of even numbers = ⁵P₃ = 60.

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