Question

Find the value of 'p' and 'q' if 2100=$2^2\times p\times q\times 7$

• A. $p=5,q=3^2$
• B. $p=3,q=5^3$
• C. $p=3,q=5$
• D. $p=3,q=5^2$

Answer 1

The correct option is D $p=3,q=5^2$

$\begin{array}{cc}2& 2100\\ 2& 1050\\ 3& 525\\ 5& 175\\ 5& 35\\ & 7\end{array}$
$\Rightarrow$$2100=2^2\times 3\times 5^2\times 7$
So, $p=3$ and $q=5^2$