The sum of two numbers is 40 and their product is 375. What will be the sum of their reciprocals ?

Answer: Option B

Let the numbers be x and y
Then,
x + y = 40 and xy = 375
$$\begin{array}{rl}& \therefore \frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}\\ & =\frac{40}{275}\\ & =\frac{8}{75}\end{array}$$