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 stars are moons.
Some moons are suns.
All suns are satellites.
Conclusions :
I. Some satellites are moons.
II. Some satellites are stars.
III. Some moons are stars.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe least possible Venn diagram for the given statements is as shown below :
Conclusions :
I. Some satellites are moons → True (As Some moons are suns and All suns are satellites so, Some satellites are moons is true)
II. Some satellites are stars → False (As All stars are moons and Some moons are suns and All suns are satellites so, Some satellites are stars is false)
III. Some moons are stars → True (As All stars are moons so, Some moons are stars is true)
∴ Here, Conclusions I and III are true.
Hence, the correct answer is "Both conclusions I and III follow".
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