Moment of Inertia & Radius of Gyration question from MHT CET 2024 (10 May, Shift 1)

Answer: (b)

1. Parallel axis theorem: $I = \frac{MR^2}{2} + Md^2$, which grows with distance $d$ from the centre.
2. $B$ is on the rim ($d = R$), the farthest of the marked points; $A$ is the centre, $C$ and $D$ lie inside.
3. $I_B = \frac{3}{2}MR^2$ is the largest.
4. So the answer is (b) B.