GATE Practice Question and Answer

Q: Velocitation is the tendency to 2040 0

  • 1
    be traveling at a speed that is faster than perceived
    Correct
    Wrong
  • 2
    be traveling at a speed that is slower than perceived
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 1. "be traveling at a speed that is faster than perceived"
Explanation :

Answer: A) be traveling at a speed that is faster than perceived Explanation: Velocitation is a phenomenon caused by driving for long periods at high speeds. A driver may experience velocitation when coming off of the highway; the change in speed makes him or her think that the car is going much slower than it actually is.   Velocitation is the tendency to be traveling at a speed that is faster than perceived.

Q: Tractor : Trailer :: Horse : ? 2038 0

  • 1
    Saddle
    Correct
    Wrong
  • 2
    Engine
    Correct
    Wrong
  • 3
    Cart
    Correct
    Wrong
  • 4
    Stable
    Correct
    Wrong
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Answer : 3. "Cart"
Explanation :

Answer: C) Cart Explanation: Here the given words are related in such a way that, Trailer is pulled by Tractor and similarly, Cart is pulled by Horse.   Hence, Tractor : Trailer :: Horse : Cart.

Q: Find the missing number in the following Series ? 18, 97, 26, 91, ? , 83 2036 0

  • 1
    32
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    30
    Correct
    Wrong
  • 4
    34
    Correct
    Wrong
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Answer : 4. "34"
Explanation :

Answer: D) 34 Explanation: The given series follows the pattern that, 18, 97, 26, 91, ?, 83 => 18 + 8 = 26 => 97 - 8 = 91 => 26 + 8 = 34 => 91 - 8 = 83 Hence, the missing number is 34.

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 ? 2036 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: Which of the following is generally true about the stratosphere? 2034 0

  • 1
    It is very dry
    Correct
    Wrong
  • 2
    It is very moist
    Correct
    Wrong
  • 3
    The dryness level varies with the season
    Correct
    Wrong
  • 4
    The dryness level varies with the moon cycle
    Correct
    Wrong
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Answer : 1. "It is very dry"
Explanation :

Answer: A) It is very dry Explanation: The stratosphere layer of the atmosphere is very dry.

Q: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ? 2033 0

  • 1
    4.58 kms
    Correct
    Wrong
  • 2
    6.35 kms
    Correct
    Wrong
  • 3
    5.76 kms
    Correct
    Wrong
  • 4
    5.24 kms
    Correct
    Wrong
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Answer : 3. "5.76 kms"
Explanation :

Answer: C) 5.76 kms Explanation: Speed in still water = 6 kmph Stream speed = 1.2 kmph Down stream  = 7.2 kmph Up Stream = 4.8 kmph x/7.2 + x/4.8 = 1 x = 2.88 Total Distance  = 2.88 x 2 = 5.76 kms

Q: The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ? 2033 1

  • 1
    42.2 mts
    Correct
    Wrong
  • 2
    33.45 mts
    Correct
    Wrong
  • 3
    66.6 mts
    Correct
    Wrong
  • 4
    58.78 mts
    Correct
    Wrong
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Answer : 3. "66.6 mts"
Explanation :

Answer: C) 66.6 mts Explanation: From above diagramAC represents the hill and DE represents the tower Given that AC = 100 m angleXAD = angleADB = 30° (∵ AX || BD ) angleXAE = angleAEC = 60° (∵ AX || CE) Let DE = h Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1) tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)∵ BD = CE and Substitute the value of CE from equation 1 100/√3 = 100−h(√3) => h = 66.66 mts The height of the tower = 66.66 mts.

Q: The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e always come together ? 2032 0

  • 1
    1/7
    Correct
    Wrong
  • 2
    8!
    Correct
    Wrong
  • 3
    7!
    Correct
    Wrong
  • 4
    1/14
    Correct
    Wrong
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Answer : 4. "1/14"
Explanation :

Answer: D) 1/14 Explanation: The 8 letters can be written in 8! ways.n(S) = 8!Let E be the event that the letters b,c,d,e always come together when the first 8 alphabets are written down.Now the letters a, (bcde), f, g and h can be arranged in 5! ways.The letters b,c,d and e can be arranged themselves in 4! ways.n(E) = 5! x 4!Now, the required P(E) = n(E)/n(S) = 5! x 4!/8! = 1/14Hence the answer is 1/14.

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