Question
Download Solution PDFThree 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 tomatoes are peas.
Some peas are potatoes.
All potatoes are fruits.
Conclusions :
I. Some tomatoes are potatoes.
II. Some fruits are potatoes.
III. Some peas are fruits.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe least possible Venn diagram for the given statements is as shown below :
Conclusions:
I. Some tomatoes are potatoes → Does not follow (As all tomatoes are peas, some peas are potatoes and all potatoes are fruits. So, it is possible but not definitely true)
II. Some fruits are potatoes → Follow (As all potatoes are fruits. So, as whole potatoes comes in fruits therefore it is definitely true)
III. Some peas are fruits → Follow (As some peas are potatoes and all potatoes are fruits. So, it is definitely true)
∴ Here, Only conclusions II and III follow.
Hence, the correct answer is "Only conclusions II and III follow".
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