Statements: All students are ambitious. All ambitious persons are hardworking. Choose the conclusion(s) that logically follow.

1.All students are hardworking

2.All non-hardworking people are not ambitious

AOnly conclusion I follows

BOnly conclusion II follows

CBoth conclusions I and II follow ✓ Correct

DNeither conclusion I nor II follows

Correct answer: (C) Both conclusions I and II follow

Explanation

Both conclusions follow from the two premises.

'All students are ambitious' and 'all ambitious are hardworking' chain together.

So every student is hardworking, giving the first conclusion.

'All ambitious are hardworking' has the contrapositive 'all non-hardworking persons are not ambitious'.

That is the second conclusion, and the contrapositive of a universal affirmative is valid.

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