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(6-1 – 8-1)-1 + (2-1– 3-1)-1 = ………………… 

A) 60 

B) 15 

C) 20 

D) 6

2 Answers

+1 vote
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Best answer

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

+2 votes
by (38.9k points)

Correct option is  B) 15

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