If the HCF of 65 and 117 is expressible in the form 65m - 117, then the value of m is 4.

The correct option is B False
By Euclid's division algorithm
$b=aq+r,0\le r<a[\therefore dividend=divisor\times quotient+remainder]$
$\Rightarrow 117=65\times 1+52$
$\Rightarrow 65=52\times 1+13$
$\Rightarrow 52=13\times 4+0$
$\therefore$ HCF (65, 117) = 13
Also, given that, HCF (65 117) = 65 m - 117
From Eqs. (i) and (ii)
65m - 117 = 13
65m = 130
m = 2