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Conundrum 2 : Middle Three Digits

with 2 comments


A five-digit perfect square in the form of 5abc6 has a thousands digit a, hundreds digit b, and tens digit c.  If a is less than or equal to b and b is less than or equal to c, what is the sum of a + b + c?

Written by Implex

September 11, 2008 at 6:03 pm

2 Responses

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  1. Didn’t use a systematic approach.
    As we know its a 5 digit no. greater than 50000 and ending in 6, it should be the square of a number ending in 4/6
    Now thre are 5 such numbers 224/226/234/236/244
    Of these 224 and 236 satisfy. The numbers are 50176 and 55696.
    The sum is 8 or 20.
    If didn;t take much time.

    milind

    September 12, 2008 at 1:00 pm

  2. yeah that is the way to do it ! in the easiest way🙂

    outtimed

    September 13, 2008 at 4:56 am


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