Step-by-step Solution:

\[ X = (A \oplus B) \land (B \to C) \] \[ \text{Recall: } A \oplus B = (A \land \overline{B}) \lor (\overline{A} \land B), \quad B \to C = \overline{B} \lor C \] \[ \begin{array}{|c|c|c||c|c||c|} \hline A & B & C & A \oplus B & B \to C & X = (A \oplus B)\land(B \to C) \\ \hline 1 & 1 & 1 & 0 & 1 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 0 & 1 & 1 & 1 & 1 \\ 0 & 0 & 0 & 0 & 1 & 0 \\ \hline \end{array} \] \[ \text{Hence, the only row where } X = 1 \text{ is: } A=1, \, B=0, \, C=1 \] \[ \boxed{\text{Option C}} \]