$\frac{1}{m}$ = $\frac{1}{12}$ - $\frac{4}{n}$
$\frac{1}{m}$ = $\frac{n-48}{12n}$
$m = \frac{12n}{n-48} \\= \frac{2^2.3.n}{n-48}$
$n> 48$ and odd and $m$ is an integer.
thus n = 49, 51, 57 as for $n = 53,55,59$ we won't get integer values for $m$
Hence option (E), 3 is the Answer.