GATE Practice Question and Answer

Q: What is an error in a program called 2473 0

  • 1
    Power fail
    Correct
    Wrong
  • 2
    Crash
    Correct
    Wrong
  • 3
    Virus
    Correct
    Wrong
  • 4
    Bug
    Correct
    Wrong
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Answer : 4. "Bug"
Explanation :

Answer: D) Bug Explanation: In computer technology, a coding error in a computer program is called a bug.

Q: A trader mixes 36 kg of rice at Rs. 20 per kg with 14 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is: 2472 0

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    25%
    Correct
    Wrong
  • 2
    21.14%
    Correct
    Wrong
  • 3
    22.54%
    Correct
    Wrong
  • 4
    27.32%
    Correct
    Wrong
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Answer : 3. "22.54%"
Explanation :

Answer: C) 22.54% Explanation: C.P. of 50 kg rice = Rs. (36 x 20 + 14 x 36) = Rs. (720 + 504) = Rs.1224.   S.P. of 56 kg rice = Rs. (50 x 30) = Rs.1500. Profit = 1500 - 1224 = Rs.276    Profit % = ProfitC.P×100  = 2761224×100 = 22.54%.

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 ? 2472 0

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    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: If log72 = m, then log4928 is equal to ? 2470 0

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    1/(1+2m)
    Correct
    Wrong
  • 2
    (1+2m)/2
    Correct
    Wrong
  • 3
    2m/(2m+1)
    Correct
    Wrong
  • 4
    (2m+1)/2m
    Correct
    Wrong
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Answer : 2. "(1+2m)/2"
Explanation :

Answer: B) (1+2m)/2 Explanation: log4928 = 12log77×4   = 12+122log72= 12+log72= 12 + m= 1+2m2.

Q: What is the ratio of 18 minutes to one hour ? 2468 0

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    1/5
    Correct
    Wrong
  • 2
    3/4
    Correct
    Wrong
  • 3
    1/7
    Correct
    Wrong
  • 4
    3/10
    Correct
    Wrong
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Answer : 4. "3/10"
Explanation :

Answer: D) 3/10 Explanation: One hour = 60 min 18/60 = 3/10

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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: If a Siren sounds for every 5 seconds, how many times will it sound in ¾ of an hour? 2459 0

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    541 times
    Correct
    Wrong
  • 2
    540 times
    Correct
    Wrong
  • 3
    450 times
    Correct
    Wrong
  • 4
    275 times
    Correct
    Wrong
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Answer : 1. "541 times"
Explanation :

Answer: A) 541 times Explanation: There are 60 minutes in an hour. In ¾ of an hour there are (60 × ¾) minutes = 45 minutes. In ¾ of an hour there are (60 × 45) seconds = 2700 seconds. Siren sounds for every 5 seconds. In 2700 seconds = 2700/5 = 540 times. The count start after the first sound, the Siren will sound 541 times in ¾ of an hour.

Q: In how many ways the word 'SCOOTY' can be arranged such that 'S' and 'Y' are always at two ends? 2459 0

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    720
    Correct
    Wrong
  • 2
    360
    Correct
    Wrong
  • 3
    120
    Correct
    Wrong
  • 4
    24
    Correct
    Wrong
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Answer : 4. "24"
Explanation :

Answer: D) 24 Explanation: Given word is SCOOTY ATQ, Except S & Y number of letters are 4(C 2O's T) Hence, required number of arrangements = 4!/2! x 2! = 4! = 4 x 3 x 2 = 24 ways.

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