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Discussion

In 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

I. All musicians are painters.
II. All dancers are painters.

Conclusion

I. All dancers are musicians.
II. Some painters are not dancers.

  • A.Only I follows
  • B.Only II follows
  • C.Either I or II follows
  • D.Neither I nor II follows

Answer: D

Correct answer: Neither I nor II follows

Musicians and dancers are both contained in painters, but two classes inside a third need not overlap - so conclusion I does not follow. Conclusion II asserts painters who are not dancers, and for all the statements say every painter might be a dancer. Neither follows.

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