____ is the subtriplicate ratio of $216 : 1331$

8 : 11

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6 : 13

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6 : 12

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6 : 11

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Solution

The correct option is D $6 : 11$
The subtriplicate ratio of $a : b$ is $\sqrt[3]{a} : \sqrt[3]{b}$ .
$∴$ The subtriplicate ratio of $216 : 1331$ is $\sqrt[3]{216} : \sqrt[3]{1331} = \sqrt[3]{(6)^{3}} : \sqrt[3]{(11)^{3}}$
$= 6 : 11$

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