If the statement 'All women are honest' is given as true, which of the following propositions can be inferred from it?

1.'No woman is honest' is false

2.'Some women are honest' is true

3.'No woman is honest' is undetermined

4.'Some women are not honest' is false

A1, 2 & 4 only ✓ Correct

B2 & 4 only

C2, 3 & 4 only

D3 & 4 only

Correct answer: (A) 1, 2 & 4 only

Explanation

From a true A proposition its contrary is false, its subaltern true, and its contradictory false.

'All women are honest' true makes its contrary 'No woman is honest' false (Statement 1).

By subalternation 'Some women are honest' is true (Statement 2).

By contradiction 'Some women are not honest' is false (Statement 4).

Since 'No woman is honest' is determinately false, calling it undetermined is wrong.

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