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Consider the following statements to be true even if they seem to be at variance from commonly known facts and decide which of the conclusions logically follows from the statements. Statements: I. Some papers are pencils II. All books are pens III. Some pens are pencils Conclusions: I. All papers are books II. No books are pens III. Some pens are papers

Consider the following statements to be true even if they seem to be at variance from commonly known facts and decide which of the conclusions logically follows from the statements. Statements: I. Some papers are pencils II. All books are pens III. Some pens are pencils Conclusions: I. All papers are books II. No books are pens III. Some pens are papers Correct Answer None follows

The least possible Venn diagram is as follows:

[ alt="F1 A.M Deepak 19.02.2020 D7" src="//storage.googleapis.com/tb-img/production/20/03/F1_A.M_Deepak_19.02.2020_D7.png" style="width: 219px; height: 71px;">

Explanation:

I. All papers are books → False (it is possible but not definite)

II. No books are pens → False (all books are pens)

III. Some pens are paper → False (it is possible but not definite)

Hence, none of the conclusions follow.

Related Questions

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In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:

I. Some pens are pencils.
II. All pencils are erasers.

Conclusions:

I. Some pens are erasers.
II. No pens are erasers.
III. Some erasers are pencils