If the statement Some cricketers are fast bowlers is given as false, then which of the following statements could be immediately inferred to be false?

AAll cricketers are fast bowlers ✓ Correct

BNo cricketers are fast bowlers

CSome cricketers are not fast bowlers

DSome non-fast bowlers are not non-cricketers

Correct answer: (A) All cricketers are fast bowlers

Explanation

All cricketers are fast bowlers must be false once the I proposition is false.

Some cricketers are fast bowlers is the I statement declared false.

By subalternation the A form implies its subaltern I.

So a false I forces the superaltern A to be false as well.

The E and O forms turn true, so only the A statement is inferred false.

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