GATE Practice Question and Answer

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Answer : 3. "32 mts"
Explanation :

Answer: C) 32 mts Explanation: let 'b' be the Length of bridge from cow to the near end of the bridge and 'a' be the distance of the train from the bridge. 'x' be speed of cow => '4x' speed of trainThen the total length of the bridge 2b + 10.(a-2)/4x = b/x=> a-2 = 4b........(1)Now if it had run in opposite direction(a+2b+10-2)/4x = (b+10-2)/x=> a - 2b = 24......(2)Solving (1) and (2)b = 11 , Therefore length of the bridge is 2 x 11 + 10 = 32mts.

Q:A man went downstream for 28 km in a motor boat and immediately returned. It took the man twice as long to make the return trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 minutes. Find the speed of the boat in still water and the speed of the river flow. 40049 0

  • 1
    12 km/hr, 3 km/hr
    Correct
    Wrong
  • 2
    9 km/hr, 3 km/hr
    Correct
    Wrong
  • 3
    8 km/hr, 2 km/hr
    Correct
    Wrong
  • 4
    9 km/hr, 6 km/hr
    Correct
    Wrong
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Answer : 2. "9 km/hr, 3 km/hr"
Explanation :

Answer: B) 9 km/hr, 3 km/hr Explanation: Let the speed of the boat = p kmph Let the speed of the river flow = q kmph From the given data, 2 x 28p + q = 28p - q   => 56p - 56q -28p - 28q = 0 => 28p = 84q => p = 3q. Now, given that if 283q + 2q + 283q - 2q = 67260=> 285q + 28q = 67260=> q = 3 kmph=> x  =3q = 9 kmph   Hence, the speed of the boat = p kmph = 9 kmph and the speed of the river flow = q kmph = 3 kmph.

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Answer : 3. "8.57 min"
Explanation :

Answer: C) 8.57 min Explanation: 1/10 + 1/15 = 1/6 x 3 = 1/2 1 - 1/2 = 1/2 1/10 + 1/15 - 1/x = 1/2 x = 8.57 min

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Answer : 3. "118.08L"
Explanation :

Answer: C) 118.08L Explanation: The amount of petrol left after 4 operations   = 200 × 1-402004   = 200 × 454   = 200 × 256625   = 81.92 litres   Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres

Q:The school principal has received complaints from parents about bullying in the school yard during recess. He wants to investigate and end this situation as soon as possible, so he has asked the recess aides to watch closely. Which situation should the recess aides report to the principal ? 8683 0

  • 1
    A boy is sitting glumly on a bench reading a book and not interacting with his peers.
    Correct
    Wrong
  • 2
    Two boys are playing a one-on-one game of basketball and are arguing over the last basket scored.
    Correct
    Wrong
  • 3
    Three boys are huddled over a handheld video game, which isn’t supposed to be on school grounds.
    Correct
    Wrong
  • 4
    Four girls are surrounding another girl and seem to have possession of her backpack.
    Correct
    Wrong
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Answer : 4. "Four girls are surrounding another girl and seem to have possession of her backpack."
Explanation :

Answer: D) Four girls are surrounding another girl and seem to have possession of her backpack. Explanation: Seeing four girls surrounding another girl, while in possession of her backpack, is the most suspicious of the incidents described.

Q:Which is a common first indicator of an approaching thunderstorm? 7924 0

  • 1
    too hot
    Correct
    Wrong
  • 2
    heavy wind
    Correct
    Wrong
  • 3
    a buildup of dark clouds
    Correct
    Wrong
  • 4
    lightning
    Correct
    Wrong
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Answer : 3. "a buildup of dark clouds"
Explanation :

Answer: C) a buildup of dark clouds Explanation: The first indicator of an approaching thunderstorm is a buildup of dark clouds. A thunderstorm is a storm with lightning and thunder; it is usually produced by heavy rain, gusty wind, and the cumulonimbus cloud. The thunderstorm is made up of moisture, unstable air and lift.

Q:A person of good understanding knowledge and Reasoning power 7386 0

  • 1
    Snob
    Correct
    Wrong
  • 2
    Expert
    Correct
    Wrong
  • 3
    Literate
    Correct
    Wrong
  • 4
    Intellectual
    Correct
    Wrong
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Answer : 4. "Intellectual"
Explanation :

Answer: D) Intellectual Explanation: The one word substitute for A person of good understanding knowledge and Reasoning power is Intellectual.

Q:From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was: 6469 1

  • 1
    75 litres
    Correct
    Wrong
  • 2
    100 litres
    Correct
    Wrong
  • 3
    150 litres
    Correct
    Wrong
  • 4
    120 litres
    Correct
    Wrong
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Answer : 4. "120 litres"
Explanation :

Answer: D) 120 litres Explanation: wine(left)wine(added) = 343169   It means  wine(left)wine(initial amount) = 343512    (since 343 + 169 = 512)    Thus,  343x = 512x1 - 15k3    343512 = 783 = 1 - 15k3    1-15k=78=1-18    Thus the initial amount of wine was 120 liters.

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