Question : Directions: Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some laces are shoes.
Some laces are socks.
Conclusions:
I. All socks are shoes.
II. Some socks are laces.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion II follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All socks are shoes – From the Venn diagram, it is evident that there is no direct relation between socks and shoes. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (II):
Some socks are laces – From the Venn diagram, it is evident that the two circles representing socks and laces overlap and have a part of their area in common. So, it can be concluded that some socks are laces. Thus, this conclusion follows.
So, the only conclusion II follows. Hence, the fourth option is correct.
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