$363 \times 81$ is a perfect cube. State whether the statement is true (T) or false (F).

True

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False

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Solution

The correct option is B False
Factors of $363 \times 81$ are
$363 = 3 \times 11 \times 11$
$81 = 3 \times 3 \times 3 \times 3$
$363 \times 81 = 3^{3} \times 11 \times 11 \times 3 \times 3$
The factors are not in triplet forms.
Hence $363 \times 81$ is not a perfect cube.

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