Question
Statements: All books are notebooks.
Some notebooks are novels. All novels are dairies. All notebooks are letters. Conclusions: I. Some novels are books. II. Some dairies are not notebooks. III. No book is a novel. IV. Some letter are books. In each of the questions below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of given conclusions logically follows from the given statements disregarding commonly known facts.Solution
All books are notebooks (A) + Some notebooks are novels(I) ⇒ No conclusion. Hence, conclusion I and III will not follow. However, Conclusion I and conclusion III make a complementary pair, hence, either conclusion I or III follows. Some notebooks are novels(I) + All novels are dairies(A) ⇒ Some notebooks are dairies (I). Hence, conclusion II will not follow. All books are notebooks (A) + All notebooks are letters.(A) All books are letters (A) ⇒ conversion ⇒ Some letter are books.(I). Hence, conclusion IV will follow.
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