GATE Practice Question and Answer

Q: Three unbiased coins are tossed. What is the probability of getting at most two heads ? 1793 0

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

Answer: D) 3/4 Explanation: Let S be the sample space.Here n(S)= 23 = 8Let E be the event of getting atmost two heads. Then,n(E) = {(H,T,T), (T,H,T), (T,T,H), (H,H,T), (T,H,H), (H,T,H)}Required probability = n(E)/n(S) = 6/8 = 3/4.

Q: Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 20kmph and Prasanna moves southward at a speed of 30 kmph. How far will be Prasanna from Laxmi after 60 minutes ? 1793 0

  • 1
    24 km
    Correct
    Wrong
  • 2
    50 km
    Correct
    Wrong
  • 3
    42 km
    Correct
    Wrong
  • 4
    30 km
    Correct
    Wrong
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Answer : 2. "50 km"
Explanation :

Answer: B) 50 km Explanation: We know 60 min = 1 hrTotal northward Laxmi's distance = 20kmph x 1hr = 20 kmTotal southward Prasanna's distance = 30kmph x 1hr = 30 kmTotal distance between Prasanna and Laxmi is = 20 + 30 = 50 km.

Q: From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ? 519 328 746 495 837 1791 0

  • 1
    146
    Correct
    Wrong
  • 2
    203
    Correct
    Wrong
  • 3
    345
    Correct
    Wrong
  • 4
    96
    Correct
    Wrong
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Answer : 1. "146"
Explanation :

Answer: A) 146 Explanation: From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ? Now arranging the given numbers in descending order.837 746 519 495 328 519 - 746/2 = 519 - 373 = 146.

Q: Number Challenge 1791 0

  • 1
    9
    Correct
    Wrong
  • 2
    11
    Correct
    Wrong
  • 3
    13
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 2. "11"
Explanation :

Answer: B) 11 Explanation: Half the Product of Number in the upper & lower box gives the number in the middle box. i.e. 18 x 4/2 = 36 15 x 6/2 = 45 In the same way  8 x N/2 = 44 => N = 11.

Q: A hybrid of a donkey and a horse 1791 0

  • 1
    Panthera and Mule
    Correct
    Wrong
  • 2
    Mules and Hinnys
    Correct
    Wrong
  • 3
    Liger and Hinnys
    Correct
    Wrong
  • 4
    Wholphin and Mule
    Correct
    Wrong
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Answer : 2. "Mules and Hinnys"
Explanation :

Answer: B) Mules and Hinnys Explanation: Donkeys and horses can be breed to make mules and hinnys. A hinny is a domestic equine hybrid that is the offspring of a male horse, a stallion, and a female donkey, a jenny. It is the reciprocal cross to the more common mule, which is the product of a male donkey, a jack, and a female horse, a mare.

Q: A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ? 1790 0

  • 1
    52%
    Correct
    Wrong
  • 2
    64%
    Correct
    Wrong
  • 3
    84%
    Correct
    Wrong
  • 4
    77%
    Correct
    Wrong
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Answer : 3. "84%"
Explanation :

Answer: C) 84% Explanation: Let the number be 'x'   Then, according to the given data,  52x-25x52xx100   = 2125x100   = 84%

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Answer : 3. "37"
Explanation :

Answer: C) 37 Explanation: The number of liters in each can = HCF of 80, 144 and 368 = 16 liters.Number of cans of Maaza = 368/16 = 23Number of cans of Pepsi = 80/16 = 5Number of cans of Sprite = 144/16 = 9The total number of cans required = 23 + 5 + 9 = 37 cans.

Q: Modem is used mostly for ? 1789 0

  • 1
    A modern empty memory modules
    Correct
    Wrong
  • 2
    Connecting to internet
    Correct
    Wrong
  • 3
    Mostly for file system
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 2. "Connecting to internet"
Explanation :

Answer: B) Connecting to internet Explanation: A modem is nothing but short for Modulator and Demodulator. It is used mostly for connecting to the internet. A modem is a device or program that enables a computer to transmit data over, for example, telephone or cable lines. Computer information is stored digitally, whereas information transmitted over telephone lines is transmitted in the form of analog waves.

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