The value of 1/4 + 1/4 × 5 + 1/4 × 5 × 6 correct to 4 decimal places is :

Answer: Option C

$$\begin{array}{rl}& =\frac{1}{4}+\frac{1}{4\times 5}+\frac{1}{4\times 5\times 6}\\ & =\frac{1}{4}\left(1+\frac{1}{5}+\frac{1}{30}\right)\\ & =\frac{1}{4}\left(\frac{30+6+1}{30}\right)\\ & =\frac{1}{4}\times \frac{37}{30}\\ & =\frac{37}{120}\\ & =0.3083\end{array}$$