Statements:All pens are pins.No tag is a pinAll papers are pensConclusion:I. No pen is a tagII. All papers are pinsIII. All pins are definitely not tag
Question
Statements:
- All pens are pins.
- No tag is a pin.
- All papers are pens.
Conclusion:
I. No pen is a tag
II. All papers are pins
III. All pins are definitely not tags
Solution
The given statements are:
- All pens are pins.
- No tag is a pin.
- All papers are pens.
From these statements, we can draw the following conclusions:
I. No pen is a tag: This is true. Since all pens are pins and no tag is a pin, it follows that no pen can be a tag.
II. All papers are pins: This is true. Since all papers are pens and all pens are pins, it follows that all papers are pins.
III. All pins are definitely not tags: This is true. The statement "No tag is a pin" implies that all pins are definitely not tags.
So, all the conclusions I, II, and III are true based on the given statements.
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