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 fruits are sweet.
All sweets are sour.
Conclusions:
I. Some fruits are sour.
II. Some sweets are not fruit.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusions I and II follow
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram for the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some fruits are sour – From the Venn diagram, it is evident that the circles representing fruits and sour overlap and have some parts of their area in common. Thus, it can be concluded that some fruits are sour.
Conclusion (II):
Some sweets are not fruit. – From the Venn diagram, it is clear that some sweets are fruits. But there is a possibility that the rest sweets may not be fruits. But it's not clear in the diagram. So, this conclusion doesn't follow.
So, only the conclusion I follow. Hence, the second option is correct.
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