GATE Practice Question and Answer

Q: One lady has 2 children, one of her child is boy, what is the probability of having both are boys ? 1757 0

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

Answer: A) 1/3 Explanation: In a family with 2 children there are four possibilities:1) the first child is a boy and the second child is a boy (bb)2) the first child is a boy and the second child is a girl (bg)3) the first child is a girl and the second child is a boy (gb)4) the first child is a girl and the second child is a girl (gg) But already given that one child is boy. So we have three possibilities of (bb)(bg)(gb).n(E)= both are boys=BB=1n(S)= 3Required probability P = n(E)/n(S) = 1/3.

Q: In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal ? 1756 0

  • 1
    40
    Correct
    Wrong
  • 2
    30
    Correct
    Wrong
  • 3
    50
    Correct
    Wrong
  • 4
    25
    Correct
    Wrong
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Answer : 2. "30"
Explanation :

Answer: B) 30 Explanation: Here given 120 men = 200 children therefore 1 child = 3/5 of Man------ step I Now given that the food was consumed by 150 children From step I we get 150 children =90 Men ( 1 child = 3/5 Man ie , 150 X 3/5 = 90)So the food is for (120-90) men = 30 Men

Q: Light from the sun reaches us in nearly 1756 0

  • 1
    5 min
    Correct
    Wrong
  • 2
    4.30 hrs
    Correct
    Wrong
  • 3
    8 min
    Correct
    Wrong
  • 4
    5.30 hrs
    Correct
    Wrong
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Answer : 3. "8 min"
Explanation :

Answer: C) 8 min Explanation: The light from the sun takes about 8 minutes to reach the Earth after it has been emitted from the sun's surface.   The time it takes for light to reach planets in our Solar System varies from about 3 minutes for Mercury to about 5.3 hours for Pluto.

Q: Find the next number in the series 265, 269, 278, 284, ? 1756 0

  • 1
    309
    Correct
    Wrong
  • 2
    319
    Correct
    Wrong
  • 3
    298
    Correct
    Wrong
  • 4
    415
    Correct
    Wrong
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Answer : 1. "309"
Explanation :

Answer: A) 309 Explanation: The pattern in the given series is +4, +9, +16, +25, ... i.e. 22,32,42,52... The next number is 284+25 = 309.

Q: What can go up a chimney down, but cannot go down a chimney up? 1756 0

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Answer :
Explanation :

An Umbrella. Yes, when it is open it can't be fit under a chimney but when it is closed it can be fit down a chimney.

Q: What Room can Nobody Enter? 1756 0

  • 1
    War room
    Correct
    Wrong
  • 2
    Spare room
    Correct
    Wrong
  • 3
    Escape room
    Correct
    Wrong
  • 4
    Mushroom
    Correct
    Wrong
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Answer : 4. "Mushroom"
Explanation :

Answer: D) Mushroom Explanation: The Room can Nobody Enter is a Mushroom.

Q: The mean of 100 observations is 40. It is found that an observation 84 was misread as 48. Then the correct mean is ? 1755 0

  • 1
    40.36
    Correct
    Wrong
  • 2
    41.24
    Correct
    Wrong
  • 3
    41.92
    Correct
    Wrong
  • 4
    42.05
    Correct
    Wrong
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Answer : 1. "40.36"
Explanation :

Answer: A) 40.36 Explanation: Given, mean of 100 observations is 40 => Total of 100 observations = 40 x 100 = 4000 84 is misread as 48 => Difference = 84 - 48 = 36 => Now, new total of 100 observations = 4000 + 36 = 4036 Correct Mean = 4036/100 = 40.36

Q: In a daily morning walk three persons step off together. their steps measure 75 cm, 80 cm and 85 cm respectively. What is the minimum distance each should walk so that thay can cover the distance in complete steps  ? 1755 0

  • 1
    222 m 44 cm
    Correct
    Wrong
  • 2
    204 m
    Correct
    Wrong
  • 3
    201 m 21 cm
    Correct
    Wrong
  • 4
    208 m
    Correct
    Wrong
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Answer : 2. "204 m"
Explanation :

Answer: B) 204 m Explanation: To find the minimum distance, we have to get the LCM of 75, 80, 85 Now, LCM of 75, 80, 85 = 5 x 15 x 16 x 17 = 20400 Hence, the minimum distance each should walk so that thay can cover the distance in complete steps = 20400 cms = 20400/100 = 204 mts.

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