Statements:All pens are pencils.No pencil is a cap.If these two statements are true, what is the most logical conclusion?All caps are pencils.Some caps are pencils. e. if both conclusions I and II followd. if neither I nor II followsa. if only conclusion I followsb. if only conclusion II followsc. if either conclusion I or II follows
Question
Statements:All pens are pencils.No pencil is a cap.If these two statements are true, what is the most logical conclusion?All caps are pencils.Some caps are pencils. e. if both conclusions I and II followd. if neither I nor II followsa. if only conclusion I followsb. if only conclusion II followsc. if either conclusion I or II follows
Solution
The most logical conclusion based on the given statements is "d. if neither I nor II follows".
Here's why:
Statement 1: All pens are pencils. Statement 2: No pencil is a cap.
Conclusion I: All caps are pencils. This cannot be true because Statement 2 clearly states that no pencil is a cap.
Conclusion II: Some caps are pencils. This also cannot be true because, again, Statement 2 clearly states that no pencil is a cap.
Therefore, neither Conclusion I nor Conclusion II follows from the given statements.
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