If \[\left( \frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90} \right)\]= \[\frac{p}{q}\] and HCF of (p, q) = 1 then find \[\mathbf{p}\times \mathbf{q}\] =?

• A. 90
• B. 80
• C. 100
• D. None of these