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Return to Exploring Philosophy, 7e Student Resources
Necessary and Suf ficient Conditions Multiple Choice
Necessary and Suf ficient Conditions
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If A is a sufficient condition for B, then B is
A necessary condition for A.
correct
incorrect
A sufficient condition for A.
correct
incorrect
Both necessary and sufficient for A.
correct
incorrect
Neither necessary nor sufficient for A.
correct
incorrect
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For a rectangle to be considered a square, having four sides of equal length is
A necessary condition.
correct
incorrect
A sufficient condition.
correct
incorrect
Both a necessary and a sufficient condition.
correct
incorrect
Neither a necessary nor a sufficient condition.
correct
incorrect
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Claim: "Caring about students is a necessary condition for being a good teacher." Objection: "Lots of people care about students and still aren't good teachers." Does this objection show that the claim is wrong?
No, because the claim is only that caring is necessary, not sufficient.
correct
incorrect
No, because caring can be necessary and still be sufficient.
correct
incorrect
Yes, because caring about students is both necessary and sufficient.
correct
incorrect
Yes, because it's true that caring is not sufficient to make one a good teacher.
correct
incorrect
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A certain college requires all students to have physical education credits to graduate. For this college, physical education is
A necessary condition for graduating.
correct
incorrect
A sufficient condition for graduating.
correct
incorrect
Both necessary and sufficient for graduating.
correct
incorrect
Neither necessary nor sufficient for graduating.
correct
incorrect
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A job ad says, "Qualified candidates for this job must speak fluent Latin." This means that
Speaking Latin is sufficient for getting the job.
correct
incorrect
Speaking Latin is necessary for getting the job.
correct
incorrect
Speaking Latin is necessary and sufficient for getting the job.
correct
incorrect
Speaking Latin is neither necessary nor sufficient for getting the job.
correct
incorrect
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