Question
Download Solution PDFGiven below are three statements followed by three conclusions I, II and III. Considering the given statements to be true even if they seem to be at variance with commonly known facts, decide which conclusion(s) logically follows from the statements.
Statement:
All apples are bananas.
All grapes are bananas.
All bananas are plums.
Conclusion:
I. All apples are plums.
II. All grapes are plums.
III. Some grapes are bananas.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe least possible Venn diagram for the given statements is as shown below :
Conclusions:
I. All apples are plums → Follow (As all apples are bananas and all bananas are plums. So, as whole apples comes in bananas which whole comes in plums therefore it is definitely true)
II. All grapes are plums → Follow (As all grapes are bananas and all bananas are plums. So, as whole grapes comes in bananas which whole comes in plums therefore it is definitely true)
III. Some grapes are bananas → Follow (As all grapes are bananas. So, as whole grapes comes in bananas therefore it is definitely true)
∴ Here, all conclusions follow.
Hence, the correct answer is "All conclusions follow".
Last updated on Jul 8, 2025
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