GATE Practice Question and Answer

Q: 9 girls working 7 hours a day can complete a piece of work in 15 day. In how many days can 6 girls working for 9 hours a day, complete the same piece of work? 1447 0

  • 1
    35/4 days
    Correct
    Wrong
  • 2
    17.5 days
    Correct
    Wrong
  • 3
    19 3/4 days
    Correct
    Wrong
  • 4
    37/3 days
    Correct
    Wrong
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Answer : 2. "17.5 days"
Explanation :

Answer: B) 17.5 days Explanation: Let the number of days be 'p'  As the work is same, we know that M1 x D1 x H1 = M2 x D2 x H2 Where M = Men, D = Days, H = Hours per day  Here M1 = 9, D1 = 15, H1 = 7  M2 = 6, D2 = p, H2 = 9  => 9 x 15 x 7 = 6 x p x 9  => p = 35/2 = 17.5 days.

Q: A water tank in a village is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the tank is full, in how many hrs will the leak empty it ? 2043 0

  • 1
    34 hrs
    Correct
    Wrong
  • 2
    36 hrs
    Correct
    Wrong
  • 3
    38 hrs
    Correct
    Wrong
  • 4
    40 hrs
    Correct
    Wrong
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Answer : 4. "40 hrs"
Explanation :

Answer: D) 40 hrs Explanation: The time taken by the leak to empty the tank = 18 - 110 = 5 - 440 = 140 Therefore, the leak empties the tank in 40 hours.

Q: In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture? 2518 0

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

Answer: A) 1:1 Explanation: Quantity of alohol in the mixture = 40 x 5/8 = 25 lit Quantity of water = 40 - 25 = 15 lit According to question, Required ratio = 20 - 40 x 20100 x 5815 - 40 x 20100 x 38 + 40 x 20100 = 2015 - 3 + 8 = 1 : 1

Q: what is the missing number in the sequence given below? 12  9  13.50  30.37  ?  341.71 7949 0

  • 1
    87.63
    Correct
    Wrong
  • 2
    91.12
    Correct
    Wrong
  • 3
    93.41
    Correct
    Wrong
  • 4
    97.94
    Correct
    Wrong
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Answer : 2. "91.12"
Explanation :

Answer: B) 91.12 Explanation: Given number series is 12  9  13.5  30.3  ?  341.7 Here the pattern followed by the series is 12  12 x 0.75 = 9 9 x 1.5 = 13.5 13.5 x 2.25 = 30.3 30.37 x 3 = 91.12 91.12 x 3.75 = 341.71   Hence, the missing number in the sequence is 91.12.

Q: Natural Rubber is a Polymer of 2217 0

  • 1
    butadiene
    Correct
    Wrong
  • 2
    2methyl-1,3butadiene
    Correct
    Wrong
  • 3
    ethylene
    Correct
    Wrong
  • 4
    isoprene
    Correct
    Wrong
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Answer : 4. "isoprene"
Explanation :

Answer: D) isoprene Explanation: Natural Rubber is a Polymer derived from Isoprene.  Natural rubber is an addition polymer that is obtained as a milky white fluid known as Latex from a Tropical Rubber Tree.

Q: The respective ratio between the speed of a bike, a van  and lorry is 3 : 5 : 2. The speed of the van is 250 percent of the speed of the lorry which covers 360 km in 12 hours. What is the average speed of the bike and the van together? 2624 0

  • 1
    60 kmph
    Correct
    Wrong
  • 2
    62 kmph
    Correct
    Wrong
  • 3
    64 kmph
    Correct
    Wrong
  • 4
    63 kmph
    Correct
    Wrong
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Answer : 1. "60 kmph"
Explanation :

Answer: A) 60 kmph Explanation: Speed of lorry = 36012 = 30 kmph Speed of van =250100 x 30 = 75 kmph Speed of bike = 35 x 75 = 45 kmph Therefore, now required average speed of bike and van  = 75 + 452= 60 kmph.

Q: Prophet of New India is 4575 0

  • 1
    Dayanand Saraswathi
    Correct
    Wrong
  • 2
    Sri Ramakrishna
    Correct
    Wrong
  • 3
    Swamy Vivekananda
    Correct
    Wrong
  • 4
    Raja Ram Mohan Roy
    Correct
    Wrong
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Answer : 2. "Sri Ramakrishna"
Explanation :

Answer: B) Sri Ramakrishna Explanation: Sri Ramakrishna is called as the Prophet of New India. Sri Ramakrishna (1836-86) mostly known as Ramakrishna Paramhamsa was a spiritual genius now respected in India and abroad as an outstanding saint of our times. His life and thoughts represents the highest and best of modern Hindu philosophy and practice. Reverence and admiration for him amongst Bengali elites led to the formation of the Ramakrishna Mission by his chief disciple Swami Vivekananda. His devotees look upon him as an incarnation or Avatara of the formless Supreme Brahman as described in the Vedanta while some devotees see him as an avatara of Vishnu.

Q: Three men, four women and six children can complete a work in 9 days. A women does  double the work a man does and a child does half the work a man does. How many women alone can complete this work in 9 days? 2986 0

  • 1
    7
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 1. "7"
Explanation :

Answer: A) 7 Explanation: Given (3 Men + 4 Women + 6 Children) -----> 9 days But W = 2M and C = M/2 Now, convert Men and Children into Women by 3W2 + 4W + 6W4=> 32 + 4 + 32 = 7 Women  Therefore, 7 women alone can complete this work in 9 days.

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