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GMAT Problem Solving (PS) | Re: What is the largest four digit number when it is divided by 4, 6 and 8

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Supermaverick wrote:

What is the largest four digit number when it is divided by 4, 6 and 8 leaves remainders 3, 5 and 7 respectively.
a) 9872
b) 9997
c) 9936
d) 9983
e) 9883

DearSupermaverick ,

I'm happy to respond. Image

This is a tough question. I'm not sure that this would be on the GMAT, because of the nature of the calculations it requires.

Here's how I would think about it. Let p & q be some positive integers.
We know that the number
...

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