GATE Practice Question and Answer

Q: Salaries of Karthik, Arun and Akhil were in the ratio 4 : 5 : 6 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of the salaries of Akhil, Arun and Karthik ? 2058 0

  • 1
    6 : 8 : 9
    Correct
    Wrong
  • 2
    8 : 6 : 9
    Correct
    Wrong
  • 3
    9 : 8 : 6
    Correct
    Wrong
  • 4
    6 : 5 : 4
    Correct
    Wrong
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Answer : 3. "9 : 8 : 6"
Explanation :

Answer: C) 9 : 8 : 6 Explanation: Given the salaries are in the ratio of 4 : 5 : 6   Now the salaries are increased by 50%, 60% and 50% respectively   The New ratio of salaries will be   4 x (150/100) : 5 x (160/100) : 6 x (150/100)   = 6 : 8 : 9   The new ratio of salaries of Akhil, Arun and Karthik is 9 : 8 : 6

Q: What percent of a day is 3 hours? 2056 0

  • 1
    14.9%
    Correct
    Wrong
  • 2
    12.5%
    Correct
    Wrong
  • 3
    15.6%%
    Correct
    Wrong
  • 4
    11.4%
    Correct
    Wrong
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Answer : 2. "12.5%"
Explanation :

Answer: B) 12.5% Explanation: Let p% of a day is 3 hrs. We know that a day has 24 hrs. => p x 24/100 = 3 => p = 300/24 => p = 12.5%   Hence, 3 hrs is 12.5% of a day.

Q: Pointing to a photograph, a man said, "I have no brother or sister but that man’s father is my father’s son." Whose photograph was it? 2056 0

  • 1
    His uncle's
    Correct
    Wrong
  • 2
    His nephew's
    Correct
    Wrong
  • 3
    His son's
    Correct
    Wrong
  • 4
    His Cousin's
    Correct
    Wrong
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Answer : 3. "His son's"
Explanation :

Answer: C) His son's Explanation: Since the narrator has no brother, his father’s son is he himself. So, the man who is talking is the father of the man in the photograph. Thus, the man in the photograph is his son.

Q: 70000 a year is how much an hour? 2056 0

  • 1
    80
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    0.8
    Correct
    Wrong
  • 4
    0.08
    Correct
    Wrong
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Answer : 2. "8"
Explanation :

Answer: B) 8 Explanation: Given for year = 70000 => 365 days = 70000 => 365 x 24 hours = 70000 =>   1 hour = ? 70000/365x24 = 7.990 = 8

Q: Two metallic plate of equal thickness and coefficient thermal conductivity K1 and K2 put together face to face. A common plate is constructed. What is equivalent K? 2055 0

  • 1
    K1k2/k1+k2
    Correct
    Wrong
  • 2
    2k1k2/k1+k2
    Correct
    Wrong
  • 3
    K1+k2/k1k2
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 2. "2k1k2/k1+k2"
Explanation :

Answer: B) 2k1k2/k1+k2 Explanation: We know that,   The equivalent K =  L1 + L2L1K1+L2K2   where L1 & L2 are plate1 & Plate2 thicknesses, K1 & K2 are coefficient thermal conductivity of plate1 & Plate2 respectively.   But here L1 = L2 = L (say)   Then K = L+L/(L/K1 + L/K2)  =  2K1K2K1+K2

Q: There are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made ? 2055 0

  • 1
    49450
    Correct
    Wrong
  • 2
    50540
    Correct
    Wrong
  • 3
    46587
    Correct
    Wrong
  • 4
    52487
    Correct
    Wrong
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Answer : 2. "50540"
Explanation :

Answer: B) 50540 Explanation: Given G + B= 41 and B = G-1 Hence, G = 21 and B = 20Now we have 2 options, 1G and 3M (or) 3G and 1M(2G and 2M or 0G and 4M or 4G and oM are not allowed),   Total : C121×C320+C321×C120= 50540 ways.

Q: 3 is what percent of 5? 2054 0

  • 1
    45%
    Correct
    Wrong
  • 2
    60%
    Correct
    Wrong
  • 3
    72%
    Correct
    Wrong
  • 4
    80%
    Correct
    Wrong
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Answer : 2. "60%"
Explanation :

Answer: B) 60% Explanation: Here it is asked that 3 is what percent of 5 Let 3 is K percent of 5. => K x 5/100 = 3 => K = 300/5 = 60   Hence, 3 is 60% of 5.

Q: K is 4 times as fast as L and working together, they can complete a work in 24 days. In how many days can L alone complete the work ? 2052 0

  • 1
    30 days
    Correct
    Wrong
  • 2
    40 days
    Correct
    Wrong
  • 3
    120 days
    Correct
    Wrong
  • 4
    80 days
    Correct
    Wrong
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Answer : 1. "30 days"
Explanation :

Answer: A) 30 days Explanation: Given K=4L  -->K+L = 4L+L = 5L   These 5L people can complete the work in 24 days, which means L alone can do the work in (24 x 5)=120 days.   Hence, K alone can do the work in 120/4= 30 days.

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