Evaluate: 115 + 135 + 163 + 199 + 1143

Answer: Option B

$$\begin{array}{rl}& \frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}\\ & =\frac{1}{2}\left[\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}.....\frac{1}{11}-\frac{1}{13}\right]\\ & =\frac{1}{2}\left[\frac{1}{3}-\frac{1}{13}\right]\\ & =\frac{1}{2}\times \frac{10}{39}\\ & =\frac{5}{39}\end{array}$$