JEE Advanced 2023 Physics question on Thermodynamics

One mole of an ideal gas expands adiabatically from an initial state $(T_{\text{A}}, V_0)$ to final state $(T_{\text{f}}, 5V_0)$. Another mole of the same gas expands isothermally from a different initial state $(T_{\text{B}}, V_0)$ to the same final state $(T_{\text{f}}, 5V_0)$. The ratio of the specific heats at constant pressure and constant volume of this ideal gas is $\gamma$. What is the ratio $T_{\text{A}}/T_{\text{B}}$?