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Thread: Sqrt

  1. #1
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    Sqrt

    What is the value of SQRT(QR) ?

    1) ( SQRT(Q) + SQRT(R) ) is an integer

    2) SQRT ( Q + R) is an integer

  2. #2
    An Urch Guru Pundit Swami Sage
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    Think it's E

    1. Not enough - can be any values
    2. not enough - can be any values

    Combined - not enough: Q=64, R=36 or Q=6400, R=3600 - Not enough.

    Answer is E

  3. #3
    Everything is Karma karmaholic's Avatar
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    Answer is E.
    Case 1. Q = 16 and R = 9
    1. is satisfied and so is 2.
    Case 2. Q = 16 and R = 25
    1. is satisfied and 2 is not.
    Hence none of the statements (even in conjunction) can be used to help answer the question.

    More explanation invited.. i dont know if my approach is correct. Can anyone come up with a convincing "method"? HELP!
    ॐ हौं जुं स: मृत्युंजयाय नम:॥ Salvation ..



  4. #4
    Trying to make mom and pop proud gandidp@yahoo.com's Avatar
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    I am positive it is E. Here is the explaination

    Take 1: sqrt(Q) and sqrt(R) are integers. this implies Q = x^2 and R = y^2 x and y ae integers
    and so sqrt(QR) = sqrt(x^2*y^2) = x*y

    So it is enough if it was both are individually integers. But not when the addition is an integer
    2 is not sufficient as explained by others

  5. #5
    An Urch Guru Pundit Swami Sage
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    Quote Originally Posted by gandidp@yahoo.com
    I am positive it is A. Here is the explaination

    Take 1: sqrt(Q) and sqrt(R) are integers. this implies Q = x^2 and R = y^2 x and y ae integers
    and so sqrt(QR) = sqrt(x^2*y^2) = x*y

    So it is enough
    2 is not sufficient as explained by others
    Question asks for the value of sqrt(QR). To state

    sqrt(QR)=x*y where x,y are integers does not give the value of sqrt(QR). Hence insuff.

  6. #6
    An Urch Guru Pundit Swami Sage
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    Agreed with He_hels. Either that or the question needs more data.
    RD

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