Discussion
Consider the following statements:
1. If all cats are animal, then all animals are cats.
2. If all dogs are mammals, then all mammals are dogs.
3. If some birds are parrots, then all parrots are birds.
How many of the statements given above are correct?
Answer: A
The key gives Only one, counting statement 3 as correct.
Statements 1 and 2 reverse a universal statement. 'All cats are animals' does not mean 'all animals are cats', and 'all dogs are mammals' does not mean 'all mammals are dogs'. Both conclusions are false.
Statement 3 ends in a true conclusion: all parrots are birds. Strictly, 'some birds are parrots' does not by itself prove that every parrot is a bird; the key treats the statement as correct because its conclusion is true, while the conclusions of 1 and 2 are plainly false. On that reading exactly one statement is correct, which rules out 'Only two', 'All three' and 'None'.
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