Physics Question from JEE Main 2025 · 28 January, Shift 1

The moment of inertia of a solid disc rotating along its diameter is $2.5$ times higher than the moment of inertia of a ring rotating in a similar way. The moment of inertia of a solid sphere which has the same radius as the disc and rotating in a similar way, is $n$ times higher than the moment of inertia of the given ring. Here, $n =$ ______ (consider all the bodies have equal masses).__