A series of operations, which takes place in a certain order and restore the initial conditions at the end, is known as

A thermodynamic cycle consists of a linked sequence of thermodynamic processes that involve transfer of heat and work into and out of the system, while varying pressure, temperature, and other state variables within the system, and that eventually returns the system to its initial state.

Reversible cycle means each and every process should be reversible. But here they have not mentioned that. It's just coming to the initial state after several process that is what mentioned.
I think its thermodynamic cycle

The correct option is C

Yes it should be reversible cycle

A cycle which returns to its initial conditions and states or follows a closed loop path as it had followed earlier is called reversible cycle whereas a series of operations which takes place in a certain order and restores to the initial conditions at the end of all the processes, is called thermodynamic cycle

If restoring of initial conditions is mandatory then it will be reversible cycle,not thermodynamic cycle

In only a reversible cycle, the initial conditions can be restored, so I think the answer should be C