GATE Practice Question and Answer

Q: A person says that his son is 5 times as old as his daughter and his wife is 5 times older than his son and he is twice the age of his wife . The sum total of all the ages equals the age of the grand mother who celebrated her 81st birthday today. How old was his son? 2069 0

  • 1
    50 yrs
    Correct
    Wrong
  • 2
    25 yrs
    Correct
    Wrong
  • 3
    72 yrs
    Correct
    Wrong
  • 4
    40 yrs
    Correct
    Wrong
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Answer : 1. "50 yrs"
Explanation :

Answer: A) 50 yrs Explanation: Let the daughter age be 'x'Therefore, Son age = 5x, Mother age = 25x, Person age = 50x. Thus we get, x+5x+25x+50x = 8181x = 81x = 1 Daughter's age = 1, Son's = 5, Mother's = 25, Person's age = 50.

Q: A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece? 2065 0

  • 1
    28 cm
    Correct
    Wrong
  • 2
    3.5 cm
    Correct
    Wrong
  • 3
    7 cm
    Correct
    Wrong
  • 4
    14 cm
    Correct
    Wrong
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Answer : 4. "14 cm"
Explanation :

Answer: D) 14 cm Explanation: Circular piece is 4 x 11 = 44 cm long, Then Circumference of circle is given by, 44 = pi x D, where D is the diameter D = 44 / pi Take pi = 22 / 7, then D = 44 / (22/7) = (44 x 7) / 22 D = 14 cm.

Q: Find the next number in the given series 0.25, 8, 128, 1024, ? 2065 0

  • 1
    4096
    Correct
    Wrong
  • 2
    2526
    Correct
    Wrong
  • 3
    8486
    Correct
    Wrong
  • 4
    2620
    Correct
    Wrong
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Answer : 1. "4096"
Explanation :

Answer: A) 4096 Explanation: Here given series follows a pattern that 0.25, 8, 128, 1024, ? 0.25 x 32 = 8 8 x 16 = 128 128 x 8 = 1024 1024 x 4 = 4096

Q: Find the next number in the following number series? 11, 13, 30, 96, ? 2063 0

  • 1
    264
    Correct
    Wrong
  • 2
    392
    Correct
    Wrong
  • 3
    412
    Correct
    Wrong
  • 4
    459
    Correct
    Wrong
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Answer : 2. "392"
Explanation :

Answer: B) 392 Explanation: The given number series 11, 13, 30, 96, ? follows a pattern that, 11 11 x 1 + 2 = 13 13 x 2 + 4 = 30 30 x 3 + 6 = 96 96 x 4 + 8 = 392   Hence, the next number in the given series is 392.

Q: Two bottles contains mixture of milk and water. First bottle contains 64% milk and second bottle contains 26% water. In what ratio these two mixtures are mixed so that new mixture contains 68% milk? 2062 0

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

Answer: A) 3 : 2 Explanation: % of milk in first bottle = 64% % of milk in second bottle = 100 - 26 = 74% Now, ATQ   64%            74%                   68%   6                    4   Hence, by using allegation method,   Required ratio = 3 : 2

Q: A can build a wall in 16 days while B can destroy it in 8 days. A worked for 5 days. Then B joined with A for the next 2 days. Find in how many days could A build the remaining wall ? 2062 0

  • 1
    12 days
    Correct
    Wrong
  • 2
    14 days
    Correct
    Wrong
  • 3
    13 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 3. "13 days"
Explanation :

Answer: C) 13 days Explanation: Now, Total work = LCM(16, 8) = 48 A's one day work = + 48/16 = + 3 B's one day work = - 48/8 = -6 Given A worked for 5 days to build the wall => 5 days work = 5 x 3 = + 15 2days B joined with A in working = 2(3 - 6) = - 6 Remaining Work of building wall = 48 - (15 - 6) = 39 Now this remaining work will be done by A in = 39/3 = 13 days.

Q: A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ? 2062 0

  • 1
    8 m/h
    Correct
    Wrong
  • 2
    5 m/h
    Correct
    Wrong
  • 3
    7 m/h
    Correct
    Wrong
  • 4
    6 m/h
    Correct
    Wrong
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Answer : 2. "5 m/h"
Explanation :

Answer: B) 5 m/h Explanation: As the distance travelled is constant, the time taken is inversely proportional to speed. Let 'u' be the speed of the current and 'v' be the speed of the boat. Speed of the boat downstream = v + u & upstream = v - u => v+u/v-u = 30/20 => v/u = 5 => v = 5u => v + u = 6u = 10/20/60 miles/hr => 6u = 30 m/h => u = 5 m/h

Q: I jump when i walk and sit when i stand, who am I? 2061 0

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Answer :
Explanation :

Kangaroo.

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