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In 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. All pen are pencils. II. All pencils are red. III. No pen is blue. Conclusions: I. No pencil is red. II. Some pencils are pens. III. No red is blue.

In 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. All pen are pencils. II. All pencils are red. III. No pen is blue. Conclusions: I. No pencil is red. II. Some pencils are pens. III. No red is blue. Correct Answer Only II

Consider the following least possible Venn diagram,

[ alt="14 sep 2017 S2 12" src="//storage.googleapis.com/tb-img/production/18/07/14_sep_2017_S2_12.PNG" style="height:183px; width:313px">

Conclusions:

I. No pencil is red → False (It is not possible as all pencils are red).

II. Some pencils are pens → True (It is definitely true as all pen are pencils).

III. No red is blue → False (It is possible but not definite).

Hence, only II follows.

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