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Four statements are followed by four conclusions numbered I, II, III and IV. Assuming the statements to be true, even if they are at variance with commonly known facts, decide which of the conclusions logically follow? Statements: (1) All books are notes. (2) Some papers are pens. (3) No note is a paper. (4) All pens are pencils. Conclusions: I. Some papers are books. II. Some notes are books. III. Some pens are notes. IV. Some pencils are papers.

Four statements are followed by four conclusions numbered I, II, III and IV. Assuming the statements to be true, even if they are at variance with commonly known facts, decide which of the conclusions logically follow? Statements: (1) All books are notes. (2) Some papers are pens. (3) No note is a paper. (4) All pens are pencils. Conclusions: I. Some papers are books. II. Some notes are books. III. Some pens are notes. IV. Some pencils are papers. Correct Answer Only conclusions II and IV follow

The least possible Venn diagram for the given statements is as follow:

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Conclusions:

I. Some papers are books → False (As No note is a paper and All books are notes. So, Some papers are books is definite false.)

II. Some notes are books → True (As All book are note. So some part of the note is book)

III. Some pens are notes → False (As there is no direct relation between pen and notes)

IV. Some pencils are papers → True (As All pens are pencils and Some papers are pens)

Hence, "Only conclusions II and IV follow".

Related Questions

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