If all cats are mammals and some mammals are not dogs, which of the following statements is true?
Understand the Problem
This question is a logic puzzle. We're given two statements: 'All cats are mammals' and 'Some mammals are not dogs'. We need to determine which of the provided options must be true based on these statements. The key is to recognize that the statements don't establish a direct relationship between cats and dogs. The 'some mammals are not dogs' statement only tells us about a portion of mammals, but doesn't exclude the possibility that some other mammals (including cats) might be dogs.
Answer
No definitive conclusion can be drawn.
Based on the provided information, it's not possible to definitively conclude any of the options without additional information. The relationship between cats, mammals, and dogs is not fully defined.
Answer for screen readers
Based on the provided information, it's not possible to definitively conclude any of the options without additional information. The relationship between cats, mammals, and dogs is not fully defined.
More Information
The initial statements establish that all cats fall within the category of mammals, but only specifies that some mammals are not dogs, which leaves the relationship between dogs and cats unclear. An example can be helpful, consider that all cats are mammals. Also consider cows are mammals, but cows are not dogs. In this case, no cats are dogs. It cannot be concluded that no cats are dogs, however.
Tips
A common mistake is to assume relationships that are not explicitly stated. Avoid drawing conclusions that are not directly supported by the given statements.
Sources
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