1. Let $p=2^{3009}, q=3^{2006}$ and $r=5^{1003}$. Which of the following statements is true?
(A) $p<q<r$
(B) $p<r<q$
(C) $q<p<r$
(D) $r<p<q$
(E) $q<r<p$
1. Ans: D
$$
\begin{array}{l}
p=2^{3009}=2^{3 \times 1003}=\left(2^{3}\right)^{1003}=8^{1003} \\
q=3^{2006}=3^{2 \times 1003}=\left(3^{2}\right)^{1003}=9^{1003} \\
r=5^{1003} .
\end{array}
$$

Thus, we have $r<p<q$.