Question : Directions: 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 pens are tables.
All rubbers are pens.
Conclusions:
I. All pens are rubbers.
II. All tables are pens.
III. No rubber is a table.
Option 1: Both conclusions II and III follow
Option 2: All conclusions follow
Option 3: Only conclusion III follows
Option 4: Neither conclusion follows
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 pens are rubbers- As shown in the diagram, all rubbers are pens which means that some pens are rubber. So, this conclusion doesn't follow.
Conclusion (II):
All tables are pens - As shown in the diagram, all pens are tables which means some tables are pens. So, this conclusion doesn't follow.
Conclusion (III):
No rubber is a table - As shown in the diagram, all rubbers are tables as the circle of rubber is in the circle of the table. So, this conclusion doesn't follow.
So, neither of the conclusions follows. Hence, the fourth option is correct.
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