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?

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.

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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.

milindSeptember 12, 2008 at 1:00 pm

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

outtimedSeptember 13, 2008 at 4:56 am