Q116 / 150 · MHT CET 2026 (20 April Shift 2) · Physics
In Boolean expression $A + B = Y$ implies that
- A$Y$ exists when $A$ or $B$ exists but not when both $A$ and $B$ exist.
- B$Y$ exists only when $A$ and $B$ both exist.
- C$Y$ exists when both $A$ and $B$ do not exist.
- Correct answerD$Y$ exists when $A$ exists or $B$ exists or both $A$ and $B$ exist
Solution
The Boolean expression $A + B = Y$ represents the logical OR operation.
In an OR operation, the output $Y$ is true (exists) if input $A$ is true, or input $B$ is true, or both inputs $A$ and $B$ are true.
Thus, $Y$ exists when $A$ exists, or $B$ exists, or both $A$ and $B$ exist.
Answer: $Y$ exists when $A$ exists or $B$ exists or both $A$ and $B$ exist
In an OR operation, the output $Y$ is true (exists) if input $A$ is true, or input $B$ is true, or both inputs $A$ and $B$ are true.
Thus, $Y$ exists when $A$ exists, or $B$ exists, or both $A$ and $B$ exist.
Answer: $Y$ exists when $A$ exists or $B$ exists or both $A$ and $B$ exist
Hence, the correct answer is option: 'D'.