GATE Practice Question and Answer

Q: If a girl cycles at 10 kmph, then she arrives at a certain place at 1 p.m. If she cycles at 15 kmph, she will arrive at the same place at 11 a.m. At what speed must she cycle to get there at noon? 1514 0

  • 1
    14 kmph
    Correct
    Wrong
  • 2
    13 kmph
    Correct
    Wrong
  • 3
    12 kmph
    Correct
    Wrong
  • 4
    11 kmph
    Correct
    Wrong
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Answer : 3. "12 kmph"
Explanation :

Answer: C) 12 kmph Explanation: The distance is constant in this case. Let the time taken for travel with a speed of 10 kmph be 't'. Now the speed of 15 kmph is 3/2 times the speed of 10 kmph. Therefore, time taken with the speed of 15 kmph will be 2t/3 (speed is inversely proportional to time) Extra time taken = t - 2t/3 = t/3 => 1pm - 11am = 2hrs => t/3 = 2h => t = 6 hrs. Now, Distance = speed x time = 10 x 6 = 60 kms Time he takes to reach at noon = 6 - 1 = 5 hrs Now, Speed = 60/5 = 12 kmph.

Q: If 10 men take 15 days to complete a work. In how many days will 37 men complete the work? 3048 0

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

Answer: B) 4 days Explanation: Given 10 men take 15 days to complete a work => Total mandays = 15 x 10 = 150 Let the work be 150 mandays. => Now 37 men can do 150 mandays in 150/37 =~ 4 days

Q: What will come in place of the question mark (?) in the following number series? 312      231      295      ?      282      257 1881 0

  • 1
    210
    Correct
    Wrong
  • 2
    25
    Correct
    Wrong
  • 3
    246
    Correct
    Wrong
  • 4
    279
    Correct
    Wrong
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Answer : 3. "246"
Explanation :

Answer: C) 246 Explanation: The series follows a pattern that, -92, +82, -72, +62, -52

Q: A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ? 2243 0

  • 1
    8 m/h
    Correct
    Wrong
  • 2
    5 m/h
    Correct
    Wrong
  • 3
    7 m/h
    Correct
    Wrong
  • 4
    6 m/h
    Correct
    Wrong
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Answer : 2. "5 m/h"
Explanation :

Answer: B) 5 m/h Explanation: As the distance travelled is constant, the time taken is inversely proportional to speed. Let 'u' be the speed of the current and 'v' be the speed of the boat. Speed of the boat downstream = v + u & upstream = v - u => v+u/v-u = 30/20 => v/u = 5 => v = 5u => v + u = 6u = 10/20/60 miles/hr => 6u = 30 m/h => u = 5 m/h

Q: What is the ratio of 18 minutes to one hour ? 2470 0

  • 1
    1/5
    Correct
    Wrong
  • 2
    3/4
    Correct
    Wrong
  • 3
    1/7
    Correct
    Wrong
  • 4
    3/10
    Correct
    Wrong
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Answer : 4. "3/10"
Explanation :

Answer: D) 3/10 Explanation: One hour = 60 min 18/60 = 3/10

Q: Crack the Logical Password of the Mobile ? 2545 0

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Answer :
Explanation :

65292 1st digit is 3 x 2 = 6 3rd digit is 5-3 = 2 4th digit is 5+4 = 9  6+5 = 2+9 = 9+2 = 11

Q: Onion Eating Festival is celebrated in which country ? 5445 0

  • 1
    Sweden
    Correct
    Wrong
  • 2
    Thailand
    Correct
    Wrong
  • 3
    New Delhi
    Correct
    Wrong
  • 4
    Spain
    Correct
    Wrong
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Answer : 4. "Spain"
Explanation :

Answer: D) Spain Explanation: Sweden - Potato Festival Thailand - Vegetarian Festival New Delhi - International Mango Festival Spain - Onion Eating Festival

Q: X can complete the work in 10 days, Y can do the same in 15 days. If they are hired for 5 days to do the work together, what is the work that left unfinished? 2297 0

  • 1
    1/3
    Correct
    Wrong
  • 2
    2/3
    Correct
    Wrong
  • 3
    1/6
    Correct
    Wrong
  • 4
    5/6
    Correct
    Wrong
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Answer : 3. "1/6"
Explanation :

Answer: C) 1/6 Explanation: Given X can do in 10 days  => 1 day work of X = 1/10   Y can do in 15 days  => 1 day work of Y = 1/15   1day work of (X + Y) = 1/10 + 1/15 = 1/6   Given they are hired for 5 days  => 5 days work of (X + Y) = 5 x 1/6 = 5/6  Therefore, Unfinished work = 1 - 5/6 = 1/6

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