If the statement 'Some officers are not honest' is given as false, then which of the following statements can be inferred to be true?

1.All honest beings are officers

2.Some officers are honest

3.No officers are honest

4.All officers are honest

A2 only

B4 only

C1 & 3 only

D2 & 4 only ✓ Correct

Correct answer: (D) 2 & 4 only

Explanation

A false O proposition makes its contradictory A true, and A entails I.

'Some officers are not honest' is the O proposition, given as false.

Its contradictory 'All officers are honest' is therefore true (Statement 4).

From this true A, subalternation gives 'Some officers are honest' (Statement 2).

Contradiction fixes the A and subalternation fixes the I as the inferable truths.

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