Assertion (A): p̄. Reason (R): (r → q̄, r ∨ s, s → q̄, p → q). Choose the correct answer.

1. ABoth (A) and (R) are true and (R) is the correct explanation of (A)
2. BBoth (A) and (R) are true but (R) is NOT the correct explanation of (A)
3. C(A) is true but (R) is false
4. D(A) is false but (R) is true

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Show answer & explanation

Correct answer: B. Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

Explanation

From r ∨ s with r → q̄ and s → q̄ we get q̄; then p → q gives p̄ by modus tollens, so the premises do entail p̄. The official key treats both as true but R as not the explanation of A.