Question : Directions: Three 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 nachos are patties.
Some patties are pastries.
No pastry is chocolate.
Conclusions:
I. No nacho is a chocolate.
II. Some nachos are pastries.
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
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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):
No nacho is a chocolate –
From the Venn diagram, it is evident that there is no definite relation between nacho and chocolate. Thus, this conclusion does not follow.
Conclusion (II):
Some nachos are pastries –
From the Venn diagram, it is evident that there is no definite relation between nachos and pastries. Thus, this conclusion does not follow.
So, neither conclusion I nor II follows. Hence, the third option is correct.
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