GATE Practice Question and Answer

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Answer :
Explanation :

Firstly, I focussed on "If you remove my 1st & 2nd letters, you can't see me". The first thing that comes to mind which we can’t see is the "AIR".   So now, what 4 letter words can be formed ending with "AIR"? Think of all the words from A to Z, considering which one lies above you. That is how we get to "HAIR".   Now, which 5 letter word can be formed ending with "HAIR"? Starting with A to Z, we reach "CHAIR" and also, it lies below us.   And the required answer is "CHAIR".

Q: Two numbers are in the ratio 3 : 7. If 6 be added to each of them, then they are in the ratio 5 : 9. Find the numbers ? 1765 0

  • 1
    11 & 17
    Correct
    Wrong
  • 2
    7 & 17
    Correct
    Wrong
  • 3
    9 & 21
    Correct
    Wrong
  • 4
    13 & 23
    Correct
    Wrong
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Answer : 3. "9 & 21"
Explanation :

Answer: C) 9 & 21 Explanation: Let the two numbers be x and y Given x : y = 3 : 7 .....(1) Now, x+6 : y+6 = 5 : 9 .....(2) From (1), x = 3y/7 From (2), 5y - 9x = 24 => 5y - 9(3y/7) = 24 => y = 21 => From(1), x = 9 Hence, the two numbers be 9 and 21

Q: If 6 (P's Capital ) = 8 ( Q's Capital ) = 12 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive ? 1765 0

  • 1
    Rs. 1033.33
    Correct
    Wrong
  • 2
    Rs. 1024
    Correct
    Wrong
  • 3
    Rs. 1148.14
    Correct
    Wrong
  • 4
    Rs. 1245.32
    Correct
    Wrong
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Answer : 1. "Rs. 1033.33"
Explanation :

Answer: A) Rs. 1033.33 Explanation: Let P's capital = p, Q's capital = q and R's capital = r.Then 6p = 8q = 12r=> 3p = 4q = 6r=>q = 3p/4r = 3p/6 = p/2P : Q : R = p : 3p/4 : p/2= 4 : 3 : 2R's share = 4650 * (2/9) = 150*6 = Rs. 1033.33.

Q: The calendar for the year 2007 will be the same for the year ? 1764 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.

Q: Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ? 1764 0

  • 1
    15 min 20 sec.
    Correct
    Wrong
  • 2
    16 min 40 sec.
    Correct
    Wrong
  • 3
    13 min 10 sec.
    Correct
    Wrong
  • 4
    14 min 40 sec.
    Correct
    Wrong
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Answer : 4. "14 min 40 sec."
Explanation :

Answer: D) 14 min 40 sec. Explanation: Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15   Remaining part = 1 - 7/15 = 8/15   Part filled by B in 1 minute = 1/20   1/20 : 8/15 :: 1 : k   k = (8/15 )x 1 x 20 = 10( 2/3) min = 10 min 40 sec.   The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.

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? 1763 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: Study of Rocks is called 1763 0

  • 1
    Geology
    Correct
    Wrong
  • 2
    Cytology
    Correct
    Wrong
  • 3
    Petrology
    Correct
    Wrong
  • 4
    Petology
    Correct
    Wrong
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Answer : 3. "Petrology"
Explanation :

Answer: C) Petrology Explanation: The scientific study of rocks is called petrology, which is an essential component of geology.

Q: Sociological analysis of religion is concerned with 1761 0

  • 1
    the purpose of life
    Correct
    Wrong
  • 2
    which religions are true and which are false
    Correct
    Wrong
  • 3
    learning the will of God
    Correct
    Wrong
  • 4
    patterns of religious activity and their effect on social life
    Correct
    Wrong
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Answer : 4. "patterns of religious activity and their effect on social life"
Explanation :

Answer: D) patterns of religious activity and their effect on social life Explanation: Sociology of religion is the study of the beliefs, practices and organizational forms of religion using the tools and methods of the discipline of sociology.   Hence, Sociological analysis of religion is concerned with patterns of religious activity and their effect on social life.

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