12) Among the following statements:

(i) $3^{10}$ is a cube;

(ii) $3^{10}$ is odd;

(iii) $3^{10}$ is a square;

which ones are correct?
(A) Only (i)
(B) only (ii)
(C) only (iii)
(D) (ii) and (iii)
(E) all three.
12) The answer is (D). Indeed, $3^{10}$ cannot be a cube because 10 is not a multiple of 3, so i) is false. Instead, ii) is true, because the product of odd numbers is odd, and iii) is true because 10 is even.