If the statement All cricketers are rich persons is given as true, which of the following statements can be inferred to be false?
1.No cricketers are rich persons
2.Some cricketers are rich persons
3.Some cricketers are not rich persons
4.Some rich persons are cricketers
A2 & 3 only
B1 & 3 only ✓ Correct
C2 & 4 only
D1, 2 & 3 only
Correct answer: (B) 1 & 3 only
Explanation
Statement 1 and Statement 3 must both be false given the true A proposition.
All cricketers are rich persons is the A statement taken as true.
Statement 1, No cricketers are rich, is the contrary E and so is false.
Statement 3, Some cricketers are not rich, is the contradictory O and so is false.
The remaining I and converse-by-limitation come out true, not false.
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