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\(\frac{xy+yz+zx}{xyz}\)

Algebra Level 1

Positive numbers \(a\), \(b\), \(c\), \(x\), \(y\) and \(z\) satisfy \[abc=125, a^x=b^y=c^x=5 ^{11}.\] What is the value of \[\frac{xy+yz+zx}{xyz}?\]

\[\frac{2}{11}\] \[\frac{1}{11}\] \[\frac{3}{11}\] \[\frac{4}{11}\]

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by Mahindra Jain

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