The correct option is C gaseous
Random movement of particles in a state depends on two factors -
1. Interparticle spaces - more space means easy movement
2. Interparticle forces - weak forces means easy movement
As compared to solids and liquids, particles in the gaseous state have maximum spaces between each other and weakest interparticle forces of attraction.
Thus, the random movement of particles follow the order - solids < liquids < gases.