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 coins are notes.
Some notes are bills.
Conclusions:
I. No coin is a bill.
II. All notes being coins is a possibility.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Neither conclusion I nor II 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:
No coin is a bill – From the Venn diagram, it is evident that there is no direct relation between coins and bills. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion II:
All notes being coins is a possibility – It is a possibility that the circle representing notes is completely overlapped by the circle representing coins. But this is not definite. Thus, this conclusion follows.
So, the only conclusion II follows. Hence, the third option is correct.
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