Question
Download Solution PDFIf the statement "No lions are herbivorous animals", is given as true, then which of the following statements can be immediately inferred to be false?
A. All lions are herbivorous animals.
B. Some lions are herbivorous animals.
C. Some lions are not herbivorous animals.
Choose the correct answer from the options given below:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is A &B.
Key Points
If the statement "No lions are herbivorous animals" is given as true, then the following statements can be inferred:
A. All lions are herbivorous animals - This statement is false because the given statement implies that there are no lions that are herbivorous animals.
B. Some lions are herbivorous animals - This statement is false because the given statement implies that there are no lions that are herbivorous animals.
C. Some lions are not herbivorous animals - This statement is true because the given statement does not preclude the possibility of lions being non-herbivorous animals. In other words, some lions could be carnivorous or omnivorous animals.
Therefore, the false statements are A and B, "All lions are herbivorous animals" and "Some lions are herbivorous animals". The correct statement is C, "Some lions are not herbivorous animals"
Last updated on Jun 22, 2025
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