The question contains some statements followed by some conclusions. Decide which of the given conclusions logically follow from the given statements, disregarding commonly known facts.
Statements :
All rankers are intelligent.
All intelligent people are smart.
Some intelligent are dark.
Conclusions :
I. No ranker is a smart.
II. Some dark are rankers.
III. Some smart are dark.
IV. Some rankers are smart.

A. Only I follows

B. Only II follows

C. Only I, II and IV follows

D. Either I or IV follows

E. None of these

Answer : D. Either I or IV follows

Explanation:

  • Conclusion I, negative, follows. Conclusion II, positive, does not follow. Conclusion III, positive, does not follow. Conclusion IV, positive, does not follow.
  • As negative conclusion follows, let us try to negate through an alternate diagram. The negation of conclusion I is “Some rankers are smart”. Conclusion I is negated, hence I does not follow, but conclusion IV which did not follow earlier follows now. Either I or IV follows.

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