List of top Signals and Systems Questions on Sampling Theorem asked in GATE EE

Let \(x_c(t)\) be any continuous-time periodic signal with period \(T\). It is sampled uniformly with a sampling period \(T_s\) where \(T_s\neq T\), resulting in the discrete sequence
\[ x[n]=x_c(nT_s), \]
where \(n\) is an integer.

Which one of the following statements is correct about \(x[n]\)?