Three statements are given, followed by three conclusions numbered I, II and II. Assuming the statements to be true, even if they seem to be at variance with the commonly known facts, decide which of the following conclusions logically follow(s) from the statements. Statements : Some books are pens. All pens are treasures. Conclusions : I. Some books are treasures. II. Some treasures are pens. III. No books are treasures.

Three statements are given, followed by three conclusions numbered I, II and II. Assuming the statements to be true, even if they seem to be at variance with the commonly known facts, decide which of the following conclusions logically follow(s) from the statements. Statements : Some books are pens. All pens are treasures. Conclusions : I. Some books are treasures. II. Some treasures are pens. III. No books are treasures. Correct Answer Only conclusions I and II follow.

The least possible Venn diagram is as follows:

[ alt="F1 A.M Shraddha 21.02.2020 D17" src="//storage.googleapis.com/tb-img/production/20/03/F1_A.M_Shraddha_21.02.2020_D17.png" style="width: 202px; height: 95px;">

Conclusions :

I - Some books are treasures → True (the books which are pens are treasures)

II - Some treasures are pens → True (all pens are treasures)

III - No books are treasures → False(the books which are pens are treasures)

Hence, the correct answer is ‘only conclusions I and II follow’.

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