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 apples are oranges.
All oranges are fruits.
Conclusions:
(I) All apples are fruits.
(II) Some fruits are oranges.
Option 1: Neither Conclusion I nor II follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I 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 apples are fruits – From the Venn diagram, it is evident that the circles representing apples and fruits intersect and have some parts of their area in common. Thus, this conclusion does not follow.
Conclusion (II):
Some fruits are oranges – From the Venn diagram, it is evident that some parts of the circle representing fruits lie inside the circle representing oranges while some lie outside. Thus, it can be concluded that some fruits are oranges.
So, only conclusion II follows. Hence, the second option is correct.
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