Bunuel wrote:

If the product of the digits of a two-digit number x is 6, what is the value of x?

(1) x has only one unique prime factor.

(2) \(\sqrt{x}\) is an integer.

Assume the number to be x = ab

Given: a*b = 6

This means x = 16 or x = 32 or x = 23 or x = 61

Statement 1: x has only one unique prime factor

In all the cases, there is only one prime factor and the product of the digits = 6

Hence there can be more than one value of x.

Insufficient

Statement 2: \(\sqrt{x}\) is an integer

Out of x = 16 or x = 32 or x = 23 or x = 61,

\(\sqrt{x}\) is an integer only for x = 16

Hence we have only one value of x.

Sufficient

Option B