**Statements:**
- No colour is paper.
- Some paper is book.
- All books are eraser.
- All pens are colour.

**Conclusions:**
I. Some papers are eraser.
II. All pens being eraser is a possibility.
III. Some pens are eraser.
IV. Some pens are not eraser.

Question

**Statements:**
- No colour is paper.
- Some paper is book.
- All books are eraser.
- All pens are colour.

**Conclusions:**
I. Some papers are eraser.
II. All pens being eraser is a possibility.
III. Some pens are eraser.
IV. Some pens are not eraser.

Accepted Answer

**Solution:**

Let's analyze the statements and conclusions step-by-step using Venn diagram logic:

1. **Statements:**
   - No colour is paper. (Colour and paper are mutually exclusive sets)
   - Some paper is book. (Partial overlap between paper and book)
   - All books are eraser. (Book is a subset of eraser)
   - All pens are colour. (Pen is a subset of colour)

2. **Analyze conclusions:**

**I. Some papers are eraser.**
   - Since some paper is book and all books are eraser, some paper is definitely eraser.
   - So, conclusion I follows.

**II. All pens being eraser is a possibility.**
   - Pens are colour, and no colour is paper.
   - But nothing in the statements prohibits pens (which are colour) from being eraser.
   - So, it is possible that all pens are eraser.
   - Conclusion II follows.

**III. Some pens are eraser.**
   - Since pens are colour and no colour is paper, and books are eraser, but no direct relation between colour and eraser is given.
   - It is not certain that some pens are eraser; it is only a possibility.
   - So, conclusion III does not necessarily follow.

**IV. Some pens are not eraser.**
   - Since all pens are colour and no colour is paper, and eraser includes books, but no direct relation between colour and eraser is given.
   - It is possible that some pens are not eraser.
   - So, conclusion IV is a possibility but does not necessarily follow.

3. **Summary:**
   - I follows.
   - II follows.
   - Either III or IV can follow (both cannot be true simultaneously as they are contradictory).

**Answer:** Option B (I and II and either III or IV follows).

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