The correct option is C 7.5 m
Let the mass of uniform rod be M
Mass per unit length of the rod =(ML) is constant since the rod is uniform.
Let dm be the mass of an element of length dx at a distance x from origin
Position of centre of mass, xcom=∫xdm∫dm
As from symmetry we can say that the COM of the rod will lie at L2, since rod is uniform
So, from origin COM will be at 5+52=7.5 m