Question : Directions: Consider the given statements to be true and decide which of the given conclusions can be drawn from the given statements.
Statements:
All elephants are men.
All men are socks.
Conclusions:
I. Some socks are elephants.
II. All elephants are socks.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Neither conclusion I nor II follows
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some socks are elephants –
From the Venn diagram, it is evident that some parts of the circle representing socks lie outside the circle representing the elephant while some lie inside. So, from this, it can be concluded that some socks are elephants. Therefore, this conclusion follows.
Conclusion II:
All elephants are socks – From the Venn diagram, it is evident that the circle representing the elephant completely lies inside the circle representing socks. So, from this, it can be concluded that all elephants are socks. Thus, this conclusion follows.
So, both conclusions follow. Hence, the third option is correct.
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