Hi rohitacmilan,

This questions asks us for the MAXIMUM M for which N/(10^M) is an integer, so we're looking for the "powers of 10" that can be found by multiplying all of the multiples of 3 from 3 to 99: 3 x 6 x 9 x ......96 x 99. Sometimes a bit of "brute force" math is the easiest way to answer a Quant question.

We need to find all the multiples of 10 in that multiplication string.

The immediate multiples of 10: 30, 60, 90 that's three 0s

When you multiply a number that ends in 5 by an even number, you get a number that ends in a 0, so we have to factor those in as well:
15, 45 and 75
15 x 2 = 30
45 x 2 = 90
75 x 2 x 2 = 300
Here we have another four 0s.

Total = 3 + 4 = seven 0s.

GMAT assassins aren't born, they're made,
Rich