GATE Practice Question and Answer

Q: How many days in 4 years? 1896 0

  • 1
    1460
    Correct
    Wrong
  • 2
    1461
    Correct
    Wrong
  • 3
    1462
    Correct
    Wrong
  • 4
    1459
    Correct
    Wrong
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Answer : 1. "1460"
Explanation :

Answer: A) 1460 Explanation: Days in 4 years =>  Let the first year is Normal year i.e, its not Leap year. A Leap Years occurs once for every 4 years. 4 years => 365 + 365 + 365 + 366(Leap year) 4 years => 730 + 731 = 1461   Therefore, Number of Days in 4 Years = 1461 Days.

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? 1895 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: 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? 1895 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: What is black when you buy it, red when you use it, and gray when you throw it away? 1893 0

  • 1
    Shoe
    Correct
    Wrong
  • 2
    Charcoal
    Correct
    Wrong
  • 3
    Belt
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 2. "Charcoal"
Explanation :

Answer: B) Charcoal Explanation: It is Charcoal which is black when we buy it or when not being used. It gets red in appearance when put in use means to say when burning. And eventually when it's been consumed by fire or after getting burned out or used up, changes into ashes which look grey in color.

Q: Pointing to a lady , a man said," The son of her only brother is the brother of my wife."How is the lady related to the man ? 1892 0

  • 1
    sister of father-in-law
    Correct
    Wrong
  • 2
    sister
    Correct
    Wrong
  • 3
    mother
    Correct
    Wrong
  • 4
    mother-in-law
    Correct
    Wrong
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Answer : 1. "sister of father-in-law"
Explanation :

Answer: A) sister of father-in-law Explanation: Brother of person's wife → brother-in-law of the person. Hence, the son of lady's brother is brother-in-law of the person. Therefore, the brother of the lady is the father-in-law of the person. Hence, the lady is the sister of the person's father-in-law.

Q: If [P @ Q] means [P is wife of Q], [P+Q] means [P is father of Q] and [P - Q] means [P is sister of Q] then in [G+ H - R @ D], how is G related to D ? 1892 0

  • 1
    Son-in-law
    Correct
    Wrong
  • 2
    Grand father
    Correct
    Wrong
  • 3
    Father-in-law
    Correct
    Wrong
  • 4
    Brother
    Correct
    Wrong
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Answer : 3. "Father-in-law"
Explanation :

Answer: C) Father-in-law Explanation: "G is father in law of D"G+H means G is father of HH is either son or daughter of GH-R means H is sister of RR@D means R is wife of Dso H and R are sistersand daughters of Gso husband of R i.e. D is son in law of Gor G is father in law of D

Q: What does the Aufbau Principle state 1891 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: The calendar for the year 2007 will be the same for the year ? 1890 0

  • 1
    2014
    Correct
    Wrong
  • 2
    2019
    Correct
    Wrong
  • 3
    2021
    Correct
    Wrong
  • 4
    2018
    Correct
    Wrong
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Answer : 4. "2018"
Explanation :

Answer: D) 2018 Explanation: Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day. Year : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017Odd day : 1 2 1 1 1 2 1 1 1 2 1 Sum = 14 odd days => 0 odd days.Calendar for the year 2018 will be the same as for the year 2007.

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