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 machines are factories.
Some factories are shops.
Some shops are houses.
Conclusions:
I. Some houses are factories.
II. Some machines are houses.
III. Some factories are machines.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe least possible Venn diagram for the given statements is as shown below :
Conclusions:
I. Some houses are factories → False (As Some factories are shops and Some shops are houses so, Some houses are factories is false)
II. Some machines are houses → False (As All machines are factories and Some factories are shops and Some shops are houses so, Some machines are houses is false)
III. Some factories are machines → True (As All machines are factories so, Some factories are machines is true)
Hence, the correct answer is "Only conclusion III follows".
Last updated on Jun 13, 2025
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