Question 963831
Multiples of 7 in that range:  56, 63, 70, 77, 84, 91, 98<P>
Check if they're multiples of 3.  For multiples of three, the digits will add to a multiple of 3.  6+5=11, which isn't a multiple of 3.  So 56 isn't a multiple of three:<P>
6+3= 9, yes to 63.  No to 70, 74, 91 and 98.  Yes to 84:  4+8 = 12.<P>
So now it's down to 63 and 84.  Only 84 is evenly divisible by 6, so only 84 is a multiple of 6.<P>
84 is the answer.