# Data Sufficiency Question no 6

Q:

Is the product of two numbers x and y a prime number?
(1) x and y are two prime numbers .
(2) x and y are two odd numbers not equal to 1.

1. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked
2. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked
3. Both statements 1 and 2 together are sufficient to answer the question.
4. Each statement alone is sufficient to answer the question.
5. Statements 1 and 2 together are not sufficient to answer the question asked, and additional data specific to the problem are needed.
Level: Medium

Statement 4
The definition of prime number says that it’s a number greater than 1 which is divisible by 1 and the number itself.
So, if any one number from x and y is 1 and the other is prime than only the condition will satisfy else not.
So, from both the above statements we can say that the product cannot be a prime number so, both are alone sufficient to answer the given condition.