If A is true and B is false, what is the value of A AND (NOT B)?

If A is true and B is false, what is the value of A AND (NOT B)?

• A. True
• B. False
• C. Depends on context
• D. Not enough information

Answer: (A)

This question tests how conjunction and negation interact. In a logical AND, the result is true only when both inputs are true, and NOT flips a boolean value. A is true, and B is false, so NOT B is true. True AND true equals true, so the overall value is true. If either input were false, the result would be false. The other options don’t fit because the given values make the conjunction true, not false, and there’s no missing information to change the outcome.

This question tests how conjunction and negation interact. In a logical AND, the result is true only when both inputs are true, and NOT flips a boolean value.

A is true, and B is false, so NOT B is true. True AND true equals true, so the overall value is true.

If either input were false, the result would be false. The other options don’t fit because the given values make the conjunction true, not false, and there’s no missing information to change the outcome.