Nine individuals A, B, C, D, E, F, G, H, and I hold different posts in a company. The posts, in descending order of seniority, are CEO, CFO, CTO, CMO, VP, GM, AGM, DGM, and Manager. The following conditions apply:

- An odd number of persons are senior to B.
- There are four persons between B and H.
- C is two designations senior to H.
- The number of persons between B and C is two less than the number of persons senior to E.
- A is four designations junior to G.
- The number of persons junior to G is four more than the number of persons senior to F.
- D is not the Assistant General Manager.

Question: Among which pair of persons is the first person exactly three designations senior to the second person?

Question

Nine individuals A, B, C, D, E, F, G, H, and I hold different posts in a company. The posts, in descending order of seniority, are CEO, CFO, CTO, CMO, VP, GM, AGM, DGM, and Manager. The following conditions apply:

- An odd number of persons are senior to B.
- There are four persons between B and H.
- C is two designations senior to H.
- The number of persons between B and C is two less than the number of persons senior to E.
- A is four designations junior to G.
- The number of persons junior to G is four more than the number of persons senior to F.
- D is not the Assistant General Manager.

Question: Among which pair of persons is the first person exactly three designations senior to the second person?

Accepted Answer

**Solution:**

1. List the designations in order of seniority:
   - CEO (1)
   - CFO (2)
   - CTO (3)
   - CMO (4)
   - VP (5)
   - GM (6)
   - AGM (7)
   - DGM (8)
   - Manager (9)

2. Given that an odd number of persons are senior to B, possible senior counts for B are 1, 3, 5, or 7.

3. There are four persons between B and H.

4. C is two designations senior to H.

5. The number of persons between B and C is two less than the number of persons senior to E.

6. A is four designations junior to G.

7. The number of persons junior to G is four more than the number of persons senior to F.

8. D is not AGM.

Using these clues, the arrangement of persons to designations is:

| Designation | Person |
|-------------|---------|
| CEO (1)     | C       |
| CFO (2)     | G       |
| CTO (3)     | H       |
| CMO (4)     | F       |
| VP (5)      | D       |
| GM (6)      | A       |
| AGM (7)     | I       |
| DGM (8)     | B       |
| Manager (9) | E       |

Check pairs where the first person is three designations senior to the second:

- D (VP, 5) and B (DGM, 8): difference = 3

Thus, the correct pair is D - B.

**Answer:** D - B

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