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 popcorns are Chinese.
All pasta is Chinese.
Conclusions:
I. All Chinese are pasta.
II. Some popcorn is pasta.
Option 1: Neither conclusion I nor II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
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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):
All Chinese are pasta – From the Venn diagram, it is evident that some parts of the circle representing Chinese lie inside the circle representing pasta while some lie outside. Thus, this conclusion does not follow.
Conclusion (II):
Some popcorn is pasta –
From the Venn diagram, it is evident that there is no definite relation between popcorn and pasta. Thus, this conclusion does not follow.
So, neither conclusion I nor II follow. Hence, the first option is correct.
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