Bunuel wrote:

If n is a positive integer and is not the square of any integer, is it a prime number?

(1) Among the factors of n, only n is greater than √n

(2) Among the factors of n, only 1 is less than √n

Question : Is n a Prime Number ?Statement 1: Among the factors of n, only n is greater than √n

Every number can be written as product of two numbers e.g. 100 = 1*100 or 2*50 etc

But Prime numbers have only two distinct factors i.e. 1 and the number itself

Also, a number n is called prime if no prime number smaller than √n can divide the number nand if there is no factor of n bigger than √n then there will be no factor of the number smaller than √n except 1 hence there are only two factors of the number 1 and number itself

P.S. It's already mentioned that the number is not a perfect squareSUFFICIENT

Statement 2: Among the factors of n, only 1 is less than √n

Same explanation as mentioned in statement 1 follows Hence

SUFFICIENT

Answer: Option D

Each statement is sufficient to answer

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