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Its inverse in statement form is If you do not submit your assignment on time, then you will not…
Assertion: Its inverse in statement form is If you do not submit your assignment on time, then you will not get full marks for submission.
Reason: A conditional statement $P \Rightarrow Q$ can be expressed as $\sim P \vee Q$
Study the given propositions and the statements marked Assertion and Reason that follow it. Choose the correct option based on your analysis.
$P$ = You submit your assignment on time
$Q$ = You get full marks for submission
If $P \Rightarrow Q$ then,
- (a)Both Assertion and Reason are true and Reason is the correct explanation for Assertion.
- (b)Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.
- (c)Assertion is true and Reason is false.
- (d)Both Assertion and Reason are false.
Answer
Answer
AICorrect option: (b)
Answer: (b) Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.
Assertion: The inverse of $P \Rightarrow Q$ is $\sim P \Rightarrow \sim Q$, i.e. 'If you do not submit your assignment on time, then you will not get full marks for submission' — this correctly states the inverse, so the Assertion is true.
Reason: $P \Rightarrow Q \equiv \sim P \vee Q$ is also a true statement, but it explains how a conditional can be written as a disjunction — it does not explain why the given statement is the inverse of $P \Rightarrow Q$. Hence Reason does not correctly explain the Assertion.
From ISC 2026 Improvement Computer Science Paper 1, question 1(iii).