GATE Practice Question and Answer

Q: If 4th december 1999 is Monday then what day is 3rd january 2000 ? 2710 0

  • 1
    Sunday
    Correct
    Wrong
  • 2
    Monday
    Correct
    Wrong
  • 3
    Tuesday
    Correct
    Wrong
  • 4
    Wednesday
    Correct
    Wrong
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Answer : 4. "Wednesday"
Explanation :

Answer: D) Wednesday Explanation: Here from 4th December 1999 to 3rd January 2000,there is a difference of 30 days.Number of odd days = 30/7 = 2 odd days Then no. of odd days = 2 => tuesday and wednesday(from monday). Hence on 3rd january it is wednesday.

Q: Which acid is produced when milk gets sour? 2710 0

  • 1
    Lactic acid
    Correct
    Wrong
  • 2
    Acetic acid
    Correct
    Wrong
  • 3
    Tartaric acid
    Correct
    Wrong
  • 4
    Butyric acid
    Correct
    Wrong
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Answer : 1. "Lactic acid"
Explanation :

Answer: A) Lactic acid Explanation:

Q: Look at the series : 3, 7, 24, 11, __, 19, 19,... What number should fill the blank ? 2709 0

  • 1
    15
    Correct
    Wrong
  • 2
    13
    Correct
    Wrong
  • 3
    21
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
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Answer : 1. "15"
Explanation :

Answer: A) 15 Explanation: Two series alternate here, with every third number following a different pattern.In the main series, 4 is added to each number to arrive the next.In alternate series, 5 is subtracted from each number t arrive the next number.Here in the main series 3 + 4 = 77 + 4 = 1111 + 4 = 1515 + 4 = 19 In alternate series 24 - 5 = 1919 - 5 = 14...

Q: In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ? 2701 0

  • 1
    Quarter months
    Correct
    Wrong
  • 2
    Half year
    Correct
    Wrong
  • 3
    2 years
    Correct
    Wrong
  • 4
    1 year
    Correct
    Wrong
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Answer : 2. "Half year"
Explanation :

Answer: B) Half year Explanation: 3300 ----- 3% ↑ (1st time interval, 99) → 3399. Here, time interval is given as half-yearly i.e. 6 months.

Q: If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ? 2695 1

  • 1
    1
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 2. "2"
Explanation :

Answer: B) 2 Explanation: Given a2 + b2 = c2   Now  1logc+ab  + 1logc-ab    = logbc+a + logbc-a   = logbc2-a2 = 2logbb = 2

Q: Simplify the following : 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 ? 2693 0

  • 1
    100
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 1. "100"
Explanation :

Answer: A) 100 Explanation: Given 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28   It is in the form of  a3+b3+c3-3abca2+b2+c2-ab-bc-ca= a + b + c   Here a = 37, b = 35 & c = 28    => a + b + c = 37 + 35 + 28 = 100       Therefore,   = 100

Q: Statement: There has been a significant drop in the water level of all the lakes supplying water to the city.Courses of action:I. The water supply authority should impose a partial cut in supply to tackle the situation.II. The government should appeal to all the residents though mass media for minimal use of water. 2685 0

  • 1
    Only I follows
    Correct
    Wrong
  • 2
    Only II follows
    Correct
    Wrong
  • 3
    Both I & II follows
    Correct
    Wrong
  • 4
    Neither I nor II follows
    Correct
    Wrong
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Answer : 3. "Both I & II follows"
Explanation :

Answer: C) Both I & II follows Explanation: The situation can be tackled by periodic cuts in supply, and urging people to conserve water. So both the courses follow.

Q: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y ? 2685 0

  • 1
    360 m
    Correct
    Wrong
  • 2
    420 m
    Correct
    Wrong
  • 3
    460 m
    Correct
    Wrong
  • 4
    320 m
    Correct
    Wrong
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Answer : 2. "420 m"
Explanation :

Answer: B) 420 m Explanation: Let the length of the stationary train Y be LY Given that length of train X, LX = 300 m Let the speed of Train X be V. Since the train X crosses train Y and a pole in 60 seconds and 25 seconds respectively. => 300/V = 25 ---> ( 1 ) (300 + LY) / V = 60 ---> ( 2 ) From (1) V = 300/25 = 12 m/sec. From (2) (300 + LY)/12 = 60 => 300 + LY = 60 (12) = 720 => LY = 720 - 300 = 420 m Length of the stationary train = 420 m

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