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The value of $$\left( {\frac{1}{{{{\log }_3}60}} + \frac{1}{{{{\log }_4}60}} + \frac{1}{{{{\log }_5}60}}} \right)$$      is -

A. 0

B. 1

C. 5

D. 60

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & {\text{Given}}\,{\text{expression}} \cr & = {\log _{60}}3 + {\log _{60}}4 + {\log _{60}}5 \cr & = {\log _{60}}\left( {3 \times 4 \times 5} \right) \cr & = {\log _{60}}60 \cr & = 1 \cr} $$

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