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 teas are juices.
All juices are cocktails.
Conclusions:
I. All teas are cocktails.
II. All cocktails are definitely juices.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion II follows
Option 3: Only conclusion I follows
Option 4: Neither conclusion I nor II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All teas are cocktails – From the Venn diagram, it is evident that the circle representing tea is completely inside the circle representing cocktail. Thus, it can be concluded that all teas are cocktails.
Conclusion (II):
All cocktails are definitely juices – From the Venn diagram, it is evident that some parts of the circle representing cocktails, lie inside the circle representing tea, while some lie outside. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the third option is correct.
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