The value of $$\frac{1}{4}$$ + $$\frac{1}{4 × 5}$$ + $$\frac{1}{4 × 5 × 6}$$   correct to 4 decimal places is :

A. 0.3075

B. 0.3082

C. 0.3083

D. 0.3085

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & = \frac{1}{4} + \frac{1}{{4 \times 5}} + \frac{1}{{4 \times 5 \times 6}} \cr & = \frac{1}{4}\left( {1 + \frac{1}{5} + \frac{1}{{30}}} \right) \cr & = \frac{1}{4}\left( {\frac{{30 + 6 + 1}}{{30}}} \right) \cr & = \frac{1}{4} \times \frac{{37}}{{30}} \cr & = \frac{{37}}{{120}} \cr & = 0.3083 \cr} $$