Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which conclusions logically follow the given statements.
Statements:
I. Some V are P.
II. Some F are V.
Conclusions:
I. Some F are P.
II. Some V are F.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Neither conclusion 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:
Some F are P – From the Venn diagram, it is evident that there is no definite relation between F and P. Thus, this conclusion does not follow.
Conclusion II:
Some V are F – From the Venn diagram, it is evident that the circles representing V and F overlap and have some parts of their area in common. Thus, it can be concluded that some V are F.
So, the only conclusion II follows. Hence, the third option is correct.
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