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If p + q= 10 and pq = 5, then the numerical value of \( \Large \frac{p}{q}+\frac{q}{p} \)will be

A) 22
B) 18
C) 16
D) 20

Correct Answer:


B) 18

Description for Correct answer:

\( \Large \frac{p}{q} + \frac{q}{p} = \frac{p^{2} + q^{2}}{pq} \)

\( \Large = \frac{ \left(p + q\right)^{2} - 2pq }{pq} = \frac{ \left(10\right)^{2} - 2 \times 5 }{5} \)

\( \Large = \frac{100 - 10}{5} = \frac{90}{5} = 18 \)

Part of solved Simplification questions and answers : >> Elementary Mathematics >> Simplification

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Similar Questions

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