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    maneesh95's Avatar
    maneesh95 Posts: 4, Reputation: 1
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    #1

    Aug 11, 2009, 11:27 PM
    Square root
    There are 500 children in a school.For a P.T. drill they have to stand in such a manner that the number of rows is equal to number of colmns.How many children would be left out in this arrangement?
    KISS's Avatar
    KISS Posts: 12,510, Reputation: 839
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    #2

    Aug 12, 2009, 12:07 AM

    You could solve it this way:

    R = # rows
    C =# of columns
    R and C integers
    L = # left; integer

    R=C ; # of rows = # of columns
    then
    R*C <= 500

    Initially, I have 2 equations where one is an inequality
    L = 500 - (R * C)

    Yipes. I hope there is a better way.

    Substituting R=C; you have 2 eqns and 2 unknowns

    R will end up being the integer part of the sqrt(500) or 22

    L=500 - 484 or 16

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