Question

Study the given propositions and the statements marked Assertion and Reason that follow. Choose the correct option based on your analysis.

P = You practise regularly

Q = You become skilled

S1 = P => Q

S2 = ~PVQ

Assertion: S1 and S2 are logically equivalent.

Reason: A conditional statement P => Q can be expressed as ~ PVQ.

Options

• Both Assertion and Reason are true and Reason is the correct explanation for Assertion.

• Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.

• Assertion is true and Reason is false.

• Both Assertion and Reason are false.

Answer 1

Both Assertion and Reason are true and Reason is the correct explanation for Assertion.

Explanation:

• Assertion is true because P ⇒ Q and ¬ Pv Q are logically identical and produce the same truth table results.
• The reason is true because it states the Law of Material Implication, which is the exact mathematical rule used to prove the equivalence claimed in the Assertion.