If no Tigers are Lions, and some Lions are Leopards, which of the following statements is not possible?A. All Lions are LeopardsB. Some Leopards are TigersC. No Tigers are LeopardsD. Some Tigers are Leopards
Question
If no Tigers are Lions, and some Lions are Leopards, which of the following statements is not possible?A. All Lions are LeopardsB. Some Leopards are TigersC. No Tigers are LeopardsD. Some Tigers are Leopards
Solution
The statement that is not possible is:
B. Some Leopards are Tigers
Here's why:
- The first statement says that no Tigers are Lions.
- The second statement says that some Lions are Leopards.
From these two statements, we can infer that no Tigers are Leopards, because if some Leopards were Tigers, then some Tigers would have to be Lions (since some Lions are Leopards), which contradicts the first statement.
Therefore, the statement "Some Leopards are Tigers" is not possible given the initial conditions.
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