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Three statements are given, followed by four conclusions numbered I, II, III and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All books are pens. All pens are erasers. All erasers are files. Conclusions: I. All pens are files. II. All pens are books. III. All files are books. IV. All files are pens.

Three statements are given, followed by four conclusions numbered I, II, III and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All books are pens. All pens are erasers. All erasers are files. Conclusions: I. All pens are files. II. All pens are books. III. All files are books. IV. All files are pens. Correct Answer Only conclusion I follows

The least possible Venn diagram is: 

I. All pens are files. → True (As, All pens are erasers and All erasers are files → All pens are files)

II. All pens are books. → False (As, All books are pens → Some pens are books)

III. All files are books.→ False (As, All books are pens, All pens are erasers and All erasers are files → Some files are books)

IV. All files are pens. → False (As, All pens are erasers and All erasers are files → Some files are pens)

Hence, Only conclusion I follows.

Related Questions

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