Question
Read the given statements and conclusions carefully.
Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some Football are Cricket. Some Hockey are Cricket. No Cricket is Handball. Conclusions: I. No Football is Handball. II. Some Football are Hockey. III. Some Hockey are Handball.Solution
Some Football are Cricket (I) + No Cricket is Handball (E) → Some Football are not Handball (O). Hence conclusion I does not follow. Some Football are Cricket (I) + Some Cricket are Hockey (I) → No conclusion. Hence conclusion II does not follow. Some Hockey are Cricket (I) + No Cricket is Handball (E) → Some Hockey are not Handball (O). Hence conclusion III does not follow.
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