If the statement 'All cricketers are rich persons' is given as false, which of the following statements remain undetermined?

1.Some cricketers are not rich persons

2.No cricketers are rich persons

3.Some cricketers are rich persons

A1 only

B1 & 3 only

C1 & 2 only

D2 & 3 only ✓ Correct

Correct answer: (D) 2 & 3 only

Explanation

Statements 2 and 3 stay undetermined when the A proposition is false.

A false All cricketers are rich persons fixes only its contradictory as true.

That contradictory is Statement 1, the O Some cricketers are not rich persons, so it is determined.

Statement 2, the E No cricketers are rich persons, may be true or false when only A is denied.

Statement 3, the I Some cricketers are rich persons, likewise cannot be settled from a false A.

Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.