Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. 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 conclusions logically follows the given statements.
Statements:
I. Some tables are chairs.
II. No chair is stool.
Conclusions:
I. All chairs are tables.
II. Some chairs are stools.
III. All tables are stools.
Option 1: Only conclusion I follows
Option 2: All conclusions follow
Option 3: Both conclusions II and III follow
Option 4: Neither conclusion follows
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Correct Answer: Neither conclusion follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All chairs are tables – From the Venn diagram, it is evident that the circles representing chairs and tables intersect and have a part of their area in common. So, this conclusion does not follow.
Conclusion (II):
Some chairs are stools – From the Venn diagram, we can see that there is a negative relation between the circle representing chairs and stools. So, this conclusion does not follow.
Conclusion (III):
All tables are stools – From the Venn diagram, we can see that there is no negative relation between the circle of tables and stools. So, this conclusion does not follow.
So, none of the conclusions follow. Hence, the fourth option is correct.
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