Question 43

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:
All hexagons are pentagons.
All pentagons are octagons.
All octagons are decagons.

Conclusions:
I. All decagons are hexagons.
II. All hexagons are octagons.

Solution

Conclusion: I. All decagons are hexagons.

We can say that 'some decagons are hexagons.'. But the relation of 'all' cannot be concluded. So the given conclusion does not follow.

Conclusion: II. All hexagons are octagons.

The given conclusion is clearly visible in the above venn diagram. So the given conclusion follows.

Hence only conclusion II follows.

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