GATE Practice Question and Answer

Q: Solve the equation 122x+1 = 1 ? 4049 0

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

Answer: A) -1/2 Explanation: Rewrite equation as 122x+1 = 120   Leads to 2x + 1 = 0    Solve for x : x = -1/2

Q: A girl introduced a boy as the son of the daughter of the father of her uncle. The boy is girl's ? 1019 0

  • 1
    Son
    Correct
    Wrong
  • 2
    Brother
    Correct
    Wrong
  • 3
    Cousin
    Correct
    Wrong
  • 4
    Nephew
    Correct
    Wrong
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Answer : 2. "Brother"
Explanation :

Answer: B) Brother Explanation: Brother Justification: Daughter of uncle's father -- Uncle's sister -- Mother; Mother's son -- Brother.

Q: What is the maximum velocity with which a body of mass 'm' must enter a vertical loop of radius 'R'so that it can complete the loop? 1400 0

  • 1
    0
    Correct
    Wrong
  • 2
    gR
    Correct
    Wrong
  • 3
    2gR
    Correct
    Wrong
  • 4
    5gR
    Correct
    Wrong
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Answer : 4. "5gR"
Explanation :

Answer: D) D Explanation: To complete the vertical loop, the minimum speed required at the lowest point  = 5gR.

Q: Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?  ___ utt ___ tt ___ ttu ___ 1988 0

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

Answer: C) t u u t Explanation: t, u, u and t. The sequence is : tut tut tut tut.

Q: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in ? 1619 0

  • 1
    85 min
    Correct
    Wrong
  • 2
    92 min
    Correct
    Wrong
  • 3
    187 min
    Correct
    Wrong
  • 4
    144 min
    Correct
    Wrong
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Answer : 4. "144 min"
Explanation :

Answer: D) 144 min Explanation: Let the slower pipe alone fill the tank in x min. Then, faster pipe will fill it in x/3 min. 1/x + 3/x = 1/36  4/x = 1/36 => x = 144 min.

Q: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ? 3448 0

  • 1
    2 9/7 km
    Correct
    Wrong
  • 2
    3 7/5 km
    Correct
    Wrong
  • 3
    1 3/4 km
    Correct
    Wrong
  • 4
    4 3/8 km
    Correct
    Wrong
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Answer : 4. "4 3/8 km"
Explanation :

Answer: D) 4 3/8 km Explanation: Relative Speed = 5 ¾ - 4 ½ = 1 ¼ Time = 3 ½ h. Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.

Q: Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ? 1083 0

  • 1
    6000
    Correct
    Wrong
  • 2
    5400
    Correct
    Wrong
  • 3
    3800
    Correct
    Wrong
  • 4
    4700
    Correct
    Wrong
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Answer : 1. "6000"
Explanation :

Answer: A) 6000 Explanation: Let 'B' be the nuber of bricks. => 10 x 4/100 x 5 x 90/100 = 25/100 x 15/100 x 8/100 x B => 10 x 20 x 90 = 15 x 2 x B => B = 6000

Q: Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is : 1180 0

  • 1
    83
    Correct
    Wrong
  • 2
    89
    Correct
    Wrong
  • 3
    85
    Correct
    Wrong
  • 4
    79
    Correct
    Wrong
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Answer : 3. "85"
Explanation :

Answer: C) 85 Explanation: Since the numbers are co-prime, they contain only 1 as the common factor.Also, the given two products have the middle number in common.So, middle number = H.C.F of 551 and 1073 = 29;First number = 551/29 = 19Third number = 1073/29 = 37.Required sum = 19 + 29 + 37 = 85.

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