Subject

    Quantitative Aptitude

    Topic

    Number

    If a number 72k23l is divisible by 88. Then find value of k and l ?

    ক)
    k=8 & l=2
    খ)
    k=7 & l=2
    গ)
    k=8 & l=3
    ঘ)
    k=7 & l=1

    Explanation

    If a number to be divisile by 88, it should be divisible by both "8" and "11" Check for '8' : For a number to be divisible by "8", the last 3-digit should be divisible by "8" Here 72x23y --> last 3-digit is '23y' So y=2 [ (i.e) 232 is absolutely divisible by "8"] Chech for '11' : For a number to be divisible by "11" , sum of odd digits - sum of even digits should be divisible by "11" (7 + x + 3) - (2 + 2 + y) (7 + x + 3) - (2 + 2 + 2) (10 + x) - 6 should be divisible by "11" for x = 7 => 17 - 6 = 11 [ which is absolutely divisible by "11"] So x = 7 , y= 2.

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