Q1 · medium · AI-verified
How many rows are required in a truth table for a compound statement involving 3 simple statements p, q, and r?
- 6
- 9
- 8
- 4
Q2 · hard · AI-verified
How many rows are needed in a truth table for a compound statement involving 4 distinct simple statements p, q, r, and s?
- 4
- 12
- 16
- 8
Q3 · medium · AI-verified
The statement 'p if and only if q' (p ↔ q) is TRUE when:
- Both p and q have the same truth value.
- At least one of p or q is True.
- p is False and q is True.
- p is True and q is False.
Q4 · hard · AI-verified
The contrapositive of the statement 'If a number is divisible by 9, then it is divisible by 3' is:
- A number is divisible by 9 and not divisible by 3
- If a number is not divisible by 9, then it is not divisible by 3
- If a number is divisible by 3, then it is divisible by 9
- If a number is not divisible by 3, then it is not divisible by 9
Q5 · easy · AI-verified
The disjunction p ∨ q is FALSE only when:
- p is true and q is false.
- Both p and q are false.
- Both p and q are true.
- p is false and q is true.