Question 29

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:
I. Some wood are chairs.
II. All chairs are mats.
Conclusions:
I. Some mats are wood.
II. Some chairs are wood.
III. All wood are mats.

Solution

Conclusion: I. Some mats are wood.

Here 'some part of wood which is mat is also chairs.'. So from the above-given diagram, the given conclusion follows.

Conclusion: II. Some chairs are wood.

'Some wood are chairs.' is given in the statement. So from this and also the Venn diagram, we can say that the given conclusion follows.

Conclusion: III. All wood are mats.

From the above-given diagram, we can say that 'some wood are mats.' But we cannot say about the 'all'. Hence the given conclusion does not follow.

Both conclusions I and II follow.


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