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Question
The converse of the statement “If sun is not shining, then sky is filled with clouds” is ______.
Options
If sky is filled with clouds, then the sun is not shining
If sun is shining, then sky is filled with clouds
If sky is clear, then sun is shining
If sun is not shining, then sky is not filled with clouds
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Solution
The converse of the statement “If sun is not shining, then sky is filled with clouds” is if sky is filled with clouds, then the sun is not shining.
Explanation:
Let p: Sun is not shining.
q: Sky is filled with clouds.
So, the converse of the statement p → q is q → p.
i.e., If Sky is filled with clouds, then the Sun is not shining.
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