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 parallels are line. All line are cubes. Some cuboids are cubes. Conclusions: I. Some cubes are parallels. II. Some cuboids are line. III. All line are parallels.Solution
All parallels are line (A) + All line are cubes (A) β All parallels are cubes (A) β Conversion β Some cubes are parallels. (I). Hence conclusion I follows. Some cuboids are cubes (I) + [All line are cubes (A) β Conversion] β Some cubes are line (I) β No conclusion. Hence conclusion II does not follow. All parallels are line (A) β Conversion β Some line are parallels. (I). Hence conclusion III does not follow.
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