LG-002

Logic check: All runners are problem solvers. Some problem solvers are students. Which statement must be true?

Given: All runners are problem solvers. Some problem solvers are students.

Key idea: “Some problem solvers are students” means there exists at least one person who is both problem solvers and students — so it is automatically true that some students are problem solvers.

Nothing guarantees that any runners are students, so option 1 is not required.

• Picking the first pattern you see without checking it against all rows/columns.
• Ignoring the simplest rule (counts, rotations, alternations) and jumping to a complex story.
• Not testing your rule on the middle row/column (where many puzzles “break” bad rules).