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:
No pin is a tin.
Some pins are wins.
Conclusions:
I. All wins are tins.
II. Some wins are pins.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
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 statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All wins are tins – From the Venn diagram, it is evident that there is no direct relation between wins and tins. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (II):
Some wins are pins – From the Venn diagram, it is evident that the two circles representing wins and pins overlap and have a part of their area in common. So, it can be concluded that some wins are pins. Thus, this conclusion follows.
So, the only conclusion II follows. Hence, the third option is correct.
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