Question

If $p+q=20$ and $pq=50$, then the numerical value of $[\frac{p}{q}+\frac{q}{p}]$ will be

• A. 6
• B. 3
• C. 12
• D. 10
• E. None of these

Answer 1

The correct option is A

6

$\frac{p}{q}+\frac{q}{p}=\frac{p^2+q^2}{50}=\frac{{(p+q)}^2-2pq}{50}=\frac{400-100}{50}=6$