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: All Footballs are Bats. No Hockey is a Bat. All Footballs are Balls. Conclusions: I. Some Bats are Balls. II. No Football is a Hockey.Solution
All Footballs are Bats (A) → Conversion → Some Bats are Footballs (I) + All Footballs are Balls (A) → Some Bats are Balls (I). Hence conclusion I follows. All Footballs are Bats (A) + [No Hockey is a Bat (E) → Conversion] → No Bat is a Hockey (E) → No Football is a Hockey (E). Hence conclusion II follows.
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