Logic Gates question from JEE Main 2024 (31 Jan, Shift 2)

Answer: (d)

1. Upper OR gets $A$ and $\bar{B}$: $A + \bar{B}$. Lower OR gets $B$ and $\bar{A}$: $\bar{A} + B$.
2. $Y = \overline{(A + \bar{B}) + (\bar{A} + B)}$.
3. $(A + \bar{A}) + (B + \bar{B}) = 1$, so $Y = \bar{1} = 0$ for every input.
4. So the answer is (d), output 0 in all rows.