Physics Question from JEE Main 2025 · 7 April, Shift 2

M and R be the mass and radius of a disc. A small disc of radius $\frac{R}{3}$ is removed from the bigger disc, the removed disc touching the rim of the bigger disc from inside so that its centre $O'$ lies on a diameter at a distance $\frac{2R}{3}$ from $O$. The moment of inertia of remaining part of bigger disc about an axis AB passing through the centre O and perpendicular to the plane of disc is $\frac{4}{x} MR^2$. The value of x is _____.