It two different numbers are taken from the set $\{0,1,2,3,....., 10\}$; then the probability that their sum as well as absolute difference are both multiple of 4, is

Question

( A ) $\frac{14}{45}$
( B ) $\frac{7}{55}$
( C ) $\frac{12}{55}$
( D ) $\frac{6}{55}$