Dear Mike,
First thank you very very much for your response and help.But there is no other clue to solve this problem where I found it :!:

And I'm sorry as it is not a GMAT based question.I found this site quite helpful that's why I posted this question.And again thanks to you.

GMAT Math

Is 12**66* divisible by 564 ? {Here * can be any digit but not the same }