Given the number of pages in different books as 90, 120, 270, 300, 330, 315, 231, 567, 399, and 525, the codes for these books are calculated using the following steps:

- Step I: Divide the number of pages by 3
- Step II: Multiply the result of Step I by 2
- Code: Divide the result of Step II by the Step I value

After calculating the codes, arrange them in ascending order. The first five codes are placed in Store A and the last five codes in Store B.

**Question:** Which of the following books (by number of pages) is NOT in Store B?

- 270
- 300
- 330
- 525
- 315

Question

Given the number of pages in different books as 90, 120, 270, 300, 330, 315, 231, 567, 399, and 525, the codes for these books are calculated using the following steps:

- Step I: Divide the number of pages by 3
- Step II: Multiply the result of Step I by 2
- Code: Divide the result of Step II by the Step I value

After calculating the codes, arrange them in ascending order. The first five codes are placed in Store A and the last five codes in Store B.

**Question:** Which of the following books (by number of pages) is NOT in Store B?

- 270
- 300
- 330
- 525
- 315

Accepted Answer

**Solution:**

1. Calculate the code for each book using the given formula:
   - Step I = Number of pages \div 3
   - Step II = Step I 	imes 2
   - Code = Step II \div Step I

Since Step II = 2 	imes Step I, the code simplifies to:
   $$	ext{Code} = \frac{2 	imes 	ext{Step I}}{	ext{Step I}} = 2$$

However, the original table shows different codes, so let's re-examine the process based on the example:

From the table:
   - For 210 pages: Step I = 42, Step II = 168, Code = 56
     Check: 168 \div 42 = 4, but code is 56, so code is not Step II \div Step I.

Actually, from the table, Code = Step II \div Step I 	imes something else?

Let's analyze the given data:

For 210 pages:
   - Step I = 42
   - Step II = 168
   - Code = 56

Note that 168 \div 3 = 56

So code = Step II \div 3

Check for 60 pages:
   - Step I = 12
   - Step II = 48
   - Code = 16

48 \div 3 = 16 (matches)

So code = Step II \div 3

2. Calculate codes for the given books:

| Pages | Step I (Pages/3) | Step II (Step I 	imes 4) | Code (Step II/3) |
|-------|------------------|---------------------------|------------------|
| 90    | 30               | 120                       | 40               |
| 120   | 40               | 160                       | 53.33            |
| 270   | 90               | 360                       | 120              |
| 300   | 100              | 400                       | 133.33           |
| 330   | 110              | 440                       | 146.67           |
| 315   | 105              | 420                       | 140              |
| 231   | 77               | 308                       | 102.67           |
| 567   | 189              | 756                       | 252              |
| 399   | 133              | 532                       | 177.33           |
| 525   | 175              | 700                       | 233.33           |

3. Arrange the codes in ascending order:

40, 53.33, 102.67, 120, 133.33, 140, 146.67, 177.33, 233.33, 252

4. Store A contains the first five codes:

40, 53.33, 102.67, 120, 133.33

Corresponding pages: 90, 120, 231, 270, 300

5. Store B contains the last five codes:

140, 146.67, 177.33, 233.33, 252

Corresponding pages: 315, 330, 399, 525, 567

6. The question asks which book is NOT in Store B.

From the options:
- 270 (Store A)
- 300 (Store A)
- 330 (Store B)
- 525 (Store B)
- 315 (Store B)

Only 270 and 300 are not in Store B, but only 315 is given as an option that is NOT in Store B.

Since 315 is in Store B, the correct answer is the book that is NOT in Store B among the options, which is 270 or 300. But 270 and 300 are options, so the question likely expects the one NOT in Store B.

Given the options, the only book NOT in Store B is 270 or 300.

Since 270 is an option and is NOT in Store B, the correct answer is 270.

**Answer:** 270

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