rohu27 wrote:Hi Manish,
I completely get what the problem is aksing for and the explanations given have been more than useful
But I was just trying to tweak the question. the Q says the largest integer which much divide m but if the question asks for a largest integer which can divide m and gives the same options then what?

we know that m=4*sqrt(3k) so k can be 48 which makes m=48 and so m is divisible by 4(m^2 would be obviously divisible by 48 then)?
do let me know if im assuming somethng here. my point is both 12 and 16 qualify for answer choices, but the value which would always divide m(for any value) will be only 12.