If the statements "All whales are mammals" is given as false which of the…
2026
If the statements "All whales are mammals" is given as false which of the following statement can be immediately inferred to be true?
- A.
All mammals are whales.
- B.
Some whales are not mammals.
- C.
Some whales are mammals.
- D.
All mammals are non-whales.
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Correct answer: B
The statement 'All whales are mammals' is a Universal Affirmative proposition.
In logic, if a Universal Affirmative statement is false, its contradictory must be true.
The contradictory of 'All S are P' is 'Some S are not P'.
Therefore, if it is false that all whales are mammals, it must be true that some whales are not mammals.