Extreme Problem

GRE Quant Problem Solving
1

I have a query on the extreme problem of the day (image attached)

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. I got the answer 111 too. However, won’t the largest integer be the no. itself. In that case we would need the values of a,b,c thereby the answer would be - can’t be determined.

111(a+b+c) ; if a = 9 ; b = 9 ; c = 9 then the no. is 2,997.

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Hint: the keyword “must”.

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Hint 2: Try it with a number :wink:

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Let t = 100, then f = 001 and g = 010. Now, t+f+g =111(Question asked highest factor of this → It will be the number itself or 111)