GATE Practice Question and Answer

Q: If today is Saturday, what will be the day 350 days from now  ? 5786 0

  • 1
    Saturday
    Correct
    Wrong
  • 2
    Friday
    Correct
    Wrong
  • 3
    Sunday
    Correct
    Wrong
  • 4
    Monday
    Correct
    Wrong
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Answer : 1. "Saturday"
Explanation :

Answer: A) Saturday Explanation: 350 days, 350/7 = 50, no odd days, so it will be a Saturday.

Q: A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ? 1475 0

  • 1
    10 2/3 days
    Correct
    Wrong
  • 2
    13 1/5 days
    Correct
    Wrong
  • 3
    12 2/3 days
    Correct
    Wrong
  • 4
    11 5/7 days
    Correct
    Wrong
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Answer : 2. "13 1/5 days"
Explanation :

Answer: B) 13 1/5 days Explanation: 3/15 + 4/16 + x/24 = 1 ⇒x=1315

Q: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow ? 4531 0

  • 1
    3/17
    Correct
    Wrong
  • 2
    4/21
    Correct
    Wrong
  • 3
    2/21
    Correct
    Wrong
  • 4
    5/17
    Correct
    Wrong
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Answer : 3. "2/21"
Explanation :

Answer: C) 2/21 Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35 Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105 Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35   Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21

Q: If 6 men and 3 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time  ? 1698 0

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

Answer: A) 1 : 2 Explanation: 6M + 3B = 4(1M + 1B)6M + 3B = 4M + 4B2M = 1B M/B = 1/2

Q: Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case ? 1108 0

  • 1
    1020
    Correct
    Wrong
  • 2
    1040
    Correct
    Wrong
  • 3
    1060
    Correct
    Wrong
  • 4
    1022
    Correct
    Wrong
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Answer : 4. "1022"
Explanation :

Answer: D) 1022 Explanation: Lowest 4-digit number is 1000.LCM of 3, 4 and 5 is 60.Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.Now, add the remainder 2 that's required. Thus, the answer is 1022.

Q: 45 men working 9 hours per day dig 40 m deep. How many extra men should be put to dig to a depth of 56 m working 7 hours per day ? 1738 0

  • 1
    36
    Correct
    Wrong
  • 2
    61
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    54
    Correct
    Wrong
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Answer : 1. "36"
Explanation :

Answer: A) 36 Explanation: (45 x 9)/40 = (M x 7)/56 => M = 81 => 81 – 45 = 36

Q: Find the odd one out of the series ? 35, 48, 54, 63, 81, 105 1870 0

  • 1
    63
    Correct
    Wrong
  • 2
    48
    Correct
    Wrong
  • 3
    35
    Correct
    Wrong
  • 4
    81
    Correct
    Wrong
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Answer : 3. "35"
Explanation :

Answer: C) 35 Explanation: 48, 54, 63, 81 and 105 are divisible by 3 but not 35.

Q: A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely ? 1132 0

  • 1
    4 hrs 15 min
    Correct
    Wrong
  • 2
    3 hrs 24 min
    Correct
    Wrong
  • 3
    4 hrs 51 min
    Correct
    Wrong
  • 4
    3 hrs 45 min
    Correct
    Wrong
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Answer : 4. "3 hrs 45 min"
Explanation :

Answer: D) 3 hrs 45 min Explanation: Time taken by one tap to fill half of the tank = 3 hrs. Part filled by the taps in 1 hour = 4 x 1/6 = 2/3 Remaining part = 1 - 1/2 = 1/2 2/3 : 1/2 :: 1 : p p = 1/2 x 1 x 3/2 = 3/4 hrs. i.e., 45 min So, total time taken = 3 hrs 45 min.

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