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Unit 1 · Discrete Structures and Optimization Paper 2 CS · September 2022

Given below are two statements: Assertion (A) and Reason (R).
Assertion (A): ¬p
Reason (R): (r → ¬q, r ∨ s, s → ¬q, p → q)
In the light of the above statements, choose the correct answer.

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: A. Both (A) and (R) are true and (R) is the correct explanation of (A)

Explanation

From r ∨ s, r → ¬q and s → ¬q we get ¬q (constructive dilemma). With p → q, modus tollens gives ¬p. The premises in R are exactly what derive A, so R explains A.

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