Physics Question from JEE Main 2023 · 31 January, Shift 2

Two discs of the same mass and different radii are made of different materials such that their thicknesses are $1 \, \text{cm}$ and $0.5 \, \text{cm}$ respectively. The densities of materials are in the ratio $3:5$. The moment of inertia of these discs respectively about their diameters will be in the ratio $\frac{x}{6}$. The value of $x$ is _____