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Problem 11 - Entrance Test

Some politicians are honest. All honest people are truthful. Which of the following conclusions necessarily follows?

Correct: B

From 'Some P are H' and 'All H are T', we can conclude 'Some P are T' by the chain rule. Since some politicians are honest and all honest people are truthful, those same politicians are also truthful. This is a valid conclusion (DAR-1 in figure 1). The other options either reverse the universal premise or make unsupported claims.