Sets, Relations & Functions
Logic and Statements
Grade 11
Question:
<p>The converse of the statement 'If sun is not shining, then sky is filled with clouds' is</p>
<p>(a) if sky is filled with clouds, then the sun is not shining</p>
<p>(b) if sun is shining, then sky is filled with clouds</p>
<p>(c) if sky is clear, then sun is shining</p>
<p>(d) if sun is not shining, then sky is not filled with clouds</p>
Step-by-Step Solution
Key Concept: The converse of a conditional statement reverses the hypothesis and conclusion.
<p>The converse of 'If P, then Q' is 'If Q, then P'. For the statement 'If sun is not shining, then sky is filled with clouds', the converse is 'If sky is filled with clouds, then the sun is not shining'.</p><p>∴ Answer is (a).</p>
Correct Answer: A