GATE Practice Question and Answer

Q: A man covers half of his journey by train at 60 km/hr, half of the remaining by bus at 30 km/hr and the rest by cycle at 10 km/hr. Find his average speed during the entire journey? 1986 0

  • 1
    32 kmph
    Correct
    Wrong
  • 2
    20 kmph
    Correct
    Wrong
  • 3
    18 kmph
    Correct
    Wrong
  • 4
    24 kmph
    Correct
    Wrong
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Answer : 4. "24 kmph"
Explanation :

Answer: D) 24 kmph Explanation: Let the total distance of the journey of a man = d kms Now, the average speed of the entire journey = dd120 + d120 + d40  = 24 kmph.

Q: A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved? 1985 0

  • 1
    1/4
    Correct
    Wrong
  • 2
    1/2
    Correct
    Wrong
  • 3
    3/4
    Correct
    Wrong
  • 4
    7/12
    Correct
    Wrong
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Answer : 3. "3/4"
Explanation :

Answer: C) 3/4 Explanation: Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Then A, B, C are independent event ∴A, B, C are independent events Now,  P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4  PA=12, PB=23, PC= 34 ∴ P( none  solves the problem) = P(not A) and (not B) and (not C)                     = PA∩B∩C                    = PAPBPC         ∵ A, B, C are Independent                                          =  12×23×34                     = 14   Hence, P(the problem will be solved) = 1 - P(none solves the problem)                  = 1-14= 3/4

Q: What does the Aufbau Principle state 1984 0

  • 1
    Electrons will be added to an atom starting from the lowest possible level or sublevel.
    Correct
    Wrong
  • 2
    Electrons will be added to an atom only if the orbitals are different colors.
    Correct
    Wrong
  • 3
    Electrons will be added to an atom in a random order.
    Correct
    Wrong
  • 4
    Electrons will be added to an atom in a symmetrical manner.
    Correct
    Wrong
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Answer : 1. "Electrons will be added to an atom starting from the lowest possible level or sublevel."
Explanation :

Answer: A) Electrons will be added to an atom starting from the lowest possible level or sublevel. Explanation: The Aufbau Principle states that in the ground state of an atom, an electron enters the orbital with lowest energy first and subsequent electrons are fed in the order of increasing energies.

Q: 1, 2, 8, 33, ? Find the next number in the given series? 1982 0

  • 1
    148
    Correct
    Wrong
  • 2
    145
    Correct
    Wrong
  • 3
    143
    Correct
    Wrong
  • 4
    141
    Correct
    Wrong
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Answer : 1. "148"
Explanation :

Answer: A) 148 Explanation: 1 x 1 + 1 x 1 = (1 + 1) = 2 2 x 2 + 2 x 2 = (4 + 4) = 8 8 x 3 + 3 x 3 = (24 + 9) = 33 33 x 4 + 4 x 4 = (132 + 16) = 148 148 x 5 + 5 x 5 = (740 + 25) = 765.

Q: The price of pulses has increased by 25%. The percentage of reduction that a family should effect in the use of pulses so as not to increase the expenditure on this account is ? 1981 0

  • 1
    16%
    Correct
    Wrong
  • 2
    20%
    Correct
    Wrong
  • 3
    84%
    Correct
    Wrong
  • 4
    72%
    Correct
    Wrong
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Answer : 2. "20%"
Explanation :

Answer: B) 20% Explanation: Reduction in consumption= P100+P X 100%= 25100+25 X 100%= 20%

Q: What can be swallowed but can swallow you? 1980 0

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Answer :
Explanation :

Your Pride. Yes, you can swallow your pride or it can swallow you.

Q: 12 N in a C = 1979 0

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Answer :
Explanation :

12 N in a C means 12 Numbers in a Clock.

Q: Which of the following has the highest entropy? 1977 0

  • 1
    Hydrogen
    Correct
    Wrong
  • 2
    Diamond
    Correct
    Wrong
  • 3
    Liquid nitrogen
    Correct
    Wrong
  • 4
    Mercury
    Correct
    Wrong
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Answer : 1. "Hydrogen"
Explanation :

Answer: A) Hydrogen Explanation: Entropy is a measure of disorder . It will be maximum in gases followed by liquids and least in solids.   Hence, here the gas is only hydrogen and it has the highest entropy.

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