Catalyst A reduces the activation energy for a reaction by $10 \mathrm{kJ}{ \mathrm{mol}}^{-1}$ at $300 \mathrm{K}$. The ratio of rate constants, $\frac{{\mathrm{k}}_{\mathrm{T}}, \mathrm{Catalysed}}{{\mathrm{k}}_{\mathrm{T}}, \mathrm{Uncatalysed}}$ is ${\mathrm{e}}^{\mathrm{x}}$. The value of $\mathrm{x}$ is____[nearest integer] [Assume that the pre-exponential factor is same in both the cases. Given $\mathrm{R}=8.31 \mathrm{J}{ \mathrm{K}}^{-1}{ \mathrm{mol}}^{-1}$]

Hence, the correct answer is 4.