Let's test the behavior of the relevant standard logic gates for asymmetric mixed inputs $(0, 1)$ and $(1, 0)$:
* AND Gate: The output of an AND gate is '1' only when both inputs are '1'. For mismatched inputs like $(0, 1)$ and $(1, 0)$, it outputs **0**.
*
NOR Gate: A NOR gate outputs '1' only when both inputs are '0'. For any input combination containing a '1' like $(0, 1)$ and $(1, 0)$, it outputs **0**.
Thus, both the AND and NOR gates yield an output of '0' for these specific input states.
Final Answer:
The two logic gates are 'NOR' and 'AND', which corresponds to option (D).