1965 AHSME Problems/Problem 17
Problem
Given the true statement: The picnic on Sunday will not be held only if the weather is not fair. We can then conclude that:
Solution
The given statement tells us that the weather being not fair is the only thing that can cancel the picnic on Sunday. It does not say that the weather being not fair necessarily cancels the picnic, so choice (A) is out. If the weather is fair, however, nothing can stop the picnic from happening, so choice is correct. Choice (B) is incorrect, because if the picnic is cancelled, then the weather must be unfair, because the weather is the only thing that can stop the picnic. Choice (C) is incorrect, because it is the contrapositive of choice (A), so (A) and (C) are logically equivalent. Choice (D) is incorrect, because the picnic must be held if foul weather is not there to prevent it.
See Also
1965 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 16 |
Followed by Problem 18 | |
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