Discussion
In the question below is given a statement followed by two conclusions numbered I and II.
Give answer
(A) If only I follows
(B) If only II follows
(C) If either I or II follows
(D) If neither I nor II follows
(E) If both I and II follow.
Statement - Only good dancers are invited in the conference. Good dancers have a charming personality.
Conclusions -
I. All invited dancers in the conference have charming personality.
II. Those dancers who do not have charming personality are not invited in the conference.
Answer: D
Correct answer: Both I and II follow
Conclusion I follows directly: only good dancers are invited, and good dancers have charming personalities, so every invitee has one. Conclusion II is the contrapositive of that same chain - anyone without a charming personality is not a good dancer, and so is not invited. A statement and its contrapositive are logically equivalent, so if the first follows the second must.
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