A gaseous system changes from state $A\left(P_1,V_1,T_1\right)$ to $B\left(P_2,V_2,T_2\right),B$ to $C\left(P_3,V_3,T_3\right)$ and finally from $C$ to $A$. The whole process may be called

The given process starts at point $\mathrm{A}$ then passes through point $\mathrm{B},\mathrm{C}$ and finally reaches to point $A$

The parameters like pressure, volume and temperature are same at starting point and ending point. So the given process is a cyclic process.

Hence the correct option is $\left(B\right)$