Correct option is (B) 30
\((6^{-1}-8^{-1})^{-1}+(2^{-1}-3^{-1})^{-1}\) \(=(\frac16-\frac18)^{-1}+(\frac12-\frac13)^{-1}\)
\(=(\frac{4-3}{24})^{-1}+(\frac{3-2}6)^{-1}\) \(=(\frac{1}{24})^{-1}+(\frac{1}6)^{-1}\)
\(=(24^{-1})^{-1}+(6^{-1})^{-1}\) = 24+6 = 30