Question : Directions: Three statements are given, followed by three conclusions numbered I, II, and III. 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 Cadbury are Nestle.
No Nestle is Amul.
Some Cadbury are Britannia.
Conclusions:
I. Some Nestle are Britannia.
II. No Amul is Cadbury.
III. No Amul is Britannia.
Option 1: Only conclusions I and II follow
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Only conclusions I and III follow
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Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some Nestle are Britannia – From the Venn diagram, it is evident that the circles representing Nestle and Britannia overlap and have some parts of their area in common. So, it can be concluded that some Nestle are Britannia.
Conclusion (II):
No Amul is Cadbury – From the Venn diagram, it is evident that all Cadbury are Nestle and no Nestle is Amul. So, it can be concluded that no Amul is Cadbury.
Conclusion (III):
No Amul is Britannia – From the Venn diagram, it is evident that there is no direct relation between Amul and Britannia. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
So, the only conclusions I and II follow. Hence, the first option is correct.
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