Statements: All snails are seals.No snake is a snail.Conclusions: I. No snail is a snakeII. Some snakes are not sealsOptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Question
Statements: All snails are seals.No snake is a snail.Conclusions: I. No snail is a snakeII. Some snakes are not sealsOptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Solution
The answer is "If both conclusion I and conclusion II follows".
Here's the step by step reasoning:
Statement 1: All snails are seals. This means that every snail is a seal, but not necessarily that every seal is a snail.
Statement 2: No snake is a snail. This means that there is no overlap between snakes and snails.
Conclusion I: No snail is a snake. This is true because statement 2 already told us that no snake is a snail, so it must also be true that no snail is a snake.
Conclusion II: Some snakes are not seals. This is also true. Since no snake is a snail, and all snails are seals, it follows that some snakes (specifically, those that could have been snails) are not seals.
Therefore, both conclusions follow from the statements.
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