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Let $I_{A}$ and $I_{B}$ be moments of inertia of a body about two axes A and B respectively. Axis A passes through the center of mass of the body but B does not

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$I_{A} < I_{B}$

$I_{A} < I_{B}$ , whether the axes are parallel or not parallel

if the axes are parallel $I_{A} < I_{B}$

if the axes are not parallel $I_{A} \geq I_{B}$

answer is C.

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Detailed Solution

$I_{CM}$ is less than I about any other axis not passing through center of mass but only when two axes are parallel.

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