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 apples are bananas.
All grapes are bananas.
All bananas are nuts.
Conclusion:
I. All apples are nuts.
II. All grapes are nuts.
III. No nuts are bananas.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe least possible Venn diagram for the given statements is as follows-
Conclusion:
I. All apples are nuts. → True (as all apples are bananas and all bananas are nuts)
II. All grapes are nuts. → True (as all grapes are bananas and all bananas are nuts)
III. No nuts are bananas. → False (as all bananas are nuts; some nuts will definitely be bananas)
Hence, only conclusions (I) and (II) follow.
Last updated on May 28, 2025
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