$$\frac{1}{{1.2.3}} + \frac{1}{{2.3.4}} + \frac{1}{{3.4.5}} + \frac{1}{{4.5.6}}$$       is equal to = ?

A. $$\frac{7}{{30}}$$

B. $$\frac{{11}}{{30}}$$

C. $$\frac{{13}}{{30}}$$

D. $$\frac{{17}}{{30}}$$

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {\text{Given expression,}} \cr & \frac{{4.5.6 + 5.6 + 2.6 + 2.3}}{{1.2.3.4.5.6}} \cr & = \frac{{120 + 30 + 12 + 6}}{{720}} \cr & = \frac{{168}}{{720}} \cr & = \frac{7}{{30}} \cr} $$