Study the following information carefully and answer the given questions: Eight persons—A, B, C, D, E, F, G, and H—purchased different items—Lamp, Calculator, Pen, Pencil, Book, Watch, Bag and Laptop—one after the other. However, not necessarily in the same order. A purchased an item immediately after C. Three persons purchased items between C and the one who purchased Pen. Two persons purchased items between the one who purchased pen and the one who purchased calculator. G purchased an item immediately before the person who purchased calculator. As many persons purchased before the one who purchased calculator as after the one who purchased watch. G doesn’t purchase watch. H purchased Laptop immediately before E and immediately after D. Two persons purchased between D and the one who purchased Bag. G doesn’t purchase Lamp. B purchased the item before F. G and D doesn’t purchase book.
**Question:** How many persons purchased an item between A and the one who purchased the Bag?

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**Solution:**

1. Let’s denote the order of purchase as positions 1 to 8.

2. From the clues:
   - A purchased immediately after C, so if C is at position *x*, A is at *x + 1*.
   - Three persons are between C and Pen purchaser, so if C is at *x*, Pen is at *x + 4* or *x - 4*.
   - Two persons are between Pen and Calculator purchaser.
   - G purchased immediately before Calculator.
   - Number of persons before Calculator equals number of persons after Watch.
   - H purchased Laptop immediately before E and immediately after D, so order is D, H, E consecutively.
   - Two persons between D and Bag purchaser.
   - B purchased before F.
   - G and D did not purchase Book; G did not purchase Lamp or Watch.

3. Using these, the final arrangement is:

| Position | Person | Item       |
|----------|---------|------------|
| 1        | C       | Watch      |
| 2        | A       | Book       |
| 3        | D       | Lamp       |
| 4        | H       | Laptop     |
| 5        | E       | Pen        |
| 6        | B       | Bag        |
| 7        | G       | Pencil     |
| 8        | F       | Calculator |

4. Now, A is at position 2 and Bag is at position 6.

5. Number of persons between A (2) and Bag (6) = 6 - 2 - 1 = 3.

**Answer:** Three

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