GATE2019 IN: 48

Question

A discrete- time signal x[n] = e$^{j(\frac{5\pi}{3})n}$ +  e$^{j(\frac{\pi}{4})n}$ is down-sampled to the signal x${_d}[n]$ such that  x${_d}[n]$ = x[4n]. The fundamental period of the down-sampled signal  x${_d}[n]$ is $\_\_\_\_\_\_$.