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 conclusions logically follow the given statements.
Statements:
I. No chair is solid.
II. No table is solid.
Conclusions:
I. Some tables are chairs.
II. No solid is chair.
Option 1: Only conclusion II follows
Option 2: Neither conclusion follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions –
Conclusion I:
Some tables are chairs – From the Venn diagram, it is evident that there is no definite relation between tables and chairs. Thus, this conclusion does not follow.
Conclusion II:
No solid is chair – From the Venn diagram, it is evident that there is a negative relation between solid and chair. Thus, it can be concluded that no solid is a chair.
So, the only conclusion II follows. Hence, the first option is correct.
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