GATE Practice Question and Answer

Q: K men agree to donate a gift of Rs. L to trust. If three men drop out how much more will each have to contribute towards the purchase of the gift ? 1386 0

  • 1
    L / (k-3)
    Correct
    Wrong
  • 2
    k / (L-3)
    Correct
    Wrong
  • 3
    2K / 3L-K
    Correct
    Wrong
  • 4
    3L / K(K-3)
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "3L / K(K-3)"
Explanation :

Answer: D) 3L / K(K-3) Explanation: Intial contribution = L/KAfter 3 men drop, then contribution =L/K-3The amount more to pay in contribution = LK-3 - LK   = 3LK(K-3)

Q: In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ? 1386 0

  • 1
    138 to 164
    Correct
    Wrong
  • 2
    125 to 147
    Correct
    Wrong
  • 3
    148 to 158
    Correct
    Wrong
  • 4
    152 to 164
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "152 to 164"
Explanation :

Answer: D) 152 to 164 Explanation: A+7B=112 it is clear that A = 14, then it becomes A>=B, but A is smallest angle) givenso, range of A is 0.0001 to 13.9999 ( I am taking upto 4 decimal places)so, range of B becomes 14 to 16 ( after rounding off to 4 decimal places)so, range of C becomes 152 to 164 ( after rounding off to 4 decimal places)

Q: How many weekends in a year? 1386 0

  • 1
    52
    Correct
    Wrong
  • 2
    53
    Correct
    Wrong
  • 3
    103
    Correct
    Wrong
  • 4
    104
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "104"
Explanation :

Answer: D) 104 Explanation: In normal we have 104 Weekend Days. We know that a Each normal year has 365 days or 52 weeks plus one day, and each week has two weekend days, which means there are approximately 104 weekend days each year. Whereas in a leap year we have 366 days it adds one more day to the year. And what makes the change is the starting day of the year.

Q: In 1990 a person is 15 years old. In 2000 that same person is 5 years old. How can this be possible? 1386 0

  • Show AnswerHide Answer
  • Workspace

Answer :
Explanation :

It can be possible in only B.C. i.e, Before Christ. That was about 2000 years ago. Given In 1990 B.C = 2000 + 1990 = 3990 years ago, a person is 15 years Old => In 1995 B.C = 2000 + 1995 = 3995 years ago, the same person will be 10 years Old Therefore, In 2000 B.C = 2000 + 2000 = 4000 years ago, the same person will be 5 years Old.

Q: How many years it takes for Pluto to Orbit the Sun? 1385 0

  • 1
    76 yrs
    Correct
    Wrong
  • 2
    144 yrs
    Correct
    Wrong
  • 3
    198 yrs
    Correct
    Wrong
  • 4
    248 yrs
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "248 yrs"
Explanation :

Answer: D) 248 yrs Explanation: It takes 248 yrs for Pluto to orbit the Sun.

Q: 6 : 18 :: 4 : ? 1384 0

  • 1
    14
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    16
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "8"
Explanation :

Answer: D) 8 Explanation: Here the given number analogy follows two patterns that, 6  18 --> 6 x 3 4 12 --> 4 x 3   OR 6 18 ----> 6x6/2 = 18 4 8 ----> 4x4/2 = 8   As 12 is not available in the options, 8 is correct answer.

Q: The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is: 1383 0

  • 1
    30
    Correct
    Wrong
  • 2
    27
    Correct
    Wrong
  • 3
    23
    Correct
    Wrong
  • 4
    33
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "30"
Explanation :

Answer: A) 30 Explanation: Then, A:B = 2:3 and B:C = 5:8= (5 x 3/5) : (8 x 3/5) = 3:24/5A:B:C = 2:3:24/5= 10:15:24 => B = 98 x 15/49 = 30.

Q: K, L and M can do a piece of work in 20, 30 and 60 days respectively. In how many days can K do the total work if he is assisted by L and M on every third day ? 1382 0

  • 1
    15 days
    Correct
    Wrong
  • 2
    13 days
    Correct
    Wrong
  • 3
    12 days
    Correct
    Wrong
  • 4
    10 days
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "15 days"
Explanation :

Answer: A) 15 days Explanation: In one day work done by K = 1/20 Work done by K in 2 days = 1/10   Work done by K,L,M on 3rd day =1/20 + 1/30 + 1/60 = 1/10 Therefore, workdone in 3 days is = 1/10 + 1/10 = 1/5   1/5th of the work will be completed at the end of 3 days. The remaining work = 1 - 1/5 = 4/5 1/5 of work is completed in 3 days Total work wiil be done in 3 x 5 = 15 days.

      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