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Help on question pls!!!

rachel96rachel96 Free Trial Member
edited June 2020 in Logic Games 16 karma

Same with this one question like before...

A park contains at most five of seven kinds of trees- firs, laurels, maples, oaks ,pines, spruces, and yews - consistent with the following conditions.

If maples are in the park,yews are not
if firs are in the park,pines are not
if yews are not in the park, then either laurels or oaks but not both, are in the park if it is not the case that the park contains both laurels and oaks, then it contains fir and spruces.

If the firs are not in the park, then which one of the following must be true.
A) Maples are not in the park
B ) Spruces are not in the park
C) Yews are not in the park
D) Pines are in the park
E) Spruces are in the park

i understand why A would be the right answer, however, can't D be true because if firs are not in the park then pines must be in the park as well..? The contapostive. why isnt the answer D

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Comments

  • caffeine powered humancaffeine powered human Alum Member
    edited June 2020 414 karma

    We know that F -> P
    F means negating the sufficient condition- the rule falls apart.

    The correct contrapositive of F -> P would be P -> F.
    With the contrapositive, we are satisfying the necessary condition with F- the rule falls apart again.

    Remember, failing the sufficient condition or satisfying the necessary condition renders the rule irrelevant!

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