Question
Read the given statements and conclusion carefully.
Assuming the information given in the statement 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 Table are Chair. Some Chair are Desk. No Board is a Desk. All Nail are Board. Conclusion: I. No Nail is Desk. II. Some Table are Desk. III. Some Chair are not Nail.Solution
All Nail are Board (A) + No Board is a Desk (E) → No Nail is a Desk (E). Hence conclusion I follows.
Some Table are Chair (I) + Some Chair are Desk (I) → No conclusion. Hence conclusion II does not follow.
All Nail are Board (A) + No Board is a Desk (E) → No Nail is a Desk (E) + [Some Chair are Desk (I) → Conversion] → Some Desk are Chair (I) → Some Chair are not Nail. (O*). Hence conclusion III follows.
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