The sum and product of two numbers are 12 and 35 respectively. The sum of their reciprocals will be :

Answer: Option A

Let the numbers be x and y
Then,
$$\begin{array}{rl}& x+y=12\&xy=35\\ & \therefore \frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}=\frac{12}{35}\end{array}$$