All smart pupils in the class are honor students. Some pupils in the class are math contestants. Therefore, some math contestants are honor students. Is this statement true or false?

The statement, "All smart pupils in the class are honor students. Some pupils in the class are math contestants. Therefore, some math contestants are honor students," leads to a conclusion that cannot be definitively determined from the premises provided.

The first premise establishes a relationship between smart pupils and honor students, indicating that being smart is a requirement for being an honor student. The second premise reveals that a subset of pupils are math contestants, but it does not specify whether any of these math contestants are among the smart pupils or, by extension, the honor students.

Without additional information about the relationship between the math contestants and the smart pupils, the conclusion that "some math contestants are honor students" cannot be confirmed as true. It’s possible that all math contestants are not among the smart pupils, which would make it impossible for them to be honor students.

Therefore, the right choice is that one cannot be certain about the relationship between math contestants and honor students based on the given information.