Question

If p and q are co-prime numbers, then p² and q² are

Options

•  coprime

• not coprime

• even

• odd

Answer 1

We know that the co-prime numbers have no factor in common, or, their HCF is 1.

Thus, `p^2` and  `q^2` have the same factors with twice of the exponents of p and q respectively, which again will not have any common factor.

Thus we can conclude that `p^2` and `q^2` are co-prime numbers.

Hence, the correct choice is (a).