1976 AHSME Problems/Problem 11
Problem 11
Which of the following statements is (are) equivalent to the statement "If the pink elephant on planet alpha has purple eyes, then the wild pig on planet beta does not have a long nose"?
Solution
The following statements are all logically equivalent.
I. P implies Q (pink elephant on planet alpha has purple eyes ---> wild pig on planet beta does not have a long nose)
III. Not Q implies not P (contrapositive)
IV. Not P nor Q (inverse)
I is the given statement, so III and IV work. The answer is
See Also
1976 AHSME (Problems • Answer Key • Resources) | ||
Preceded by 1975 AHSME |
Followed by 1977 AHSME | |
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