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 rice is wheat.
Some wheats are pulses.
No pulses are a vegetable.
Conclusions:
I. Some vegetables are rice.
II. Some pulses are rice.
III. Some vegetables are wheat.
Option 1: None of the conclusions follows
Option 2: Both conclusions I and II follow
Option 3: Both conclusions II and III follow
Option 4: All conclusions follow
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Correct Answer: None of the conclusions follows
Solution :
According to the given statements, the following Venn diagram can be drawn –
Let's check each conclusion –
Conclusion I:
Some vegetables are rice – As per the above Venn diagram, there is no direct relation between vegetables and rice. Therefore, this conclusion does not follow.
Conclusion II:
Some pulses are rice – As per the above Venn diagram, there is no direct relation between pulses and rice. Therefore, this conclusion does not follow.
Conclusion III:
Some vegetables are wheat – As per the above Venn diagram, there is no direct relation between vegetables and wheat. Therefore, this conclusion does not follow.
So, none of the conclusions follows. Hence, the first option is correct.
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