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:
All carrots are vegetables.
Some vegetables are snacks.
Conclusions:
I. All vegetables are carrots.
II. All carrots are snacks.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusions I and II follow
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All vegetables are carrots – From the Venn diagram, it is evident that some parts of the circle representing vegetables lie outside the circle representing carrots while some lie inside. So, from this, it can be concluded that some vegetables are carrots. Thus, this conclusion does not follow.
Conclusion (II):
All carrots are snacks – From the Venn diagram, it is evident that there is no direct relation between carrots and snacks. So, no definite relation can be drawn. Thus, this conclusion does not follow.
So, neither I nor II follows. Hence, the third option is correct.
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