# If q is not equal to three and 3p/q is a prime integer greater than 2, which of the following must be true?

I. p = q

II. q = 1

III. p and q are prime integers

For 3p/q to be prime p/q should be equal to 1. Hence p = q will always remain true. For example p = 8 and q = 8. II and III are eliminated For 3p/q to be prime p/q should be equal to 1. Hence p = q will always remain true. For example p = 8 and q = 8. II and III are eliminated .

Why can’t we select any other value for p and q? Like p=10 and q=6. In that case all the answer options get disproved.