`{:(A , B , C , D , E , F , G , H , I , J , K , L , M , N , O , P , Q , R ,S , T ,U , V , W ,X , Y , Z), (1 ,2 , 3 , 4 ,5, 6 , 7,8,9,10 , 11 , 12, 13, 14, 15 , 16 , 17 , 18 , 19, 20 , 21 ,22 , 23 , 24 , 25 , 26):}`
AFHO : GBDJ :: CHFM: ?

Options

A. GBIM
B. GBLD
C. GPLD
D. IDBH

Explanation

To solve the analogy problem AFHO : GBDJ :: CHFM : ?, we need to analyze the relationship between the letters in the first pair (AFHO and GBDJ) and then apply the same pattern to the second pair (CHFM).

### Step-by-Step Solution:

1. **Identify the First Pair**:
- The first pair is AFHO and GBDJ.

2. **Determine the Pattern**:
- Let's look at the positions of the letters in the alphabet:
- A = 1, F = 6, H = 8, O = 15
- G = 7, B = 2, D = 4, J = 10

3. **Calculate the Differences**:
- From A (1) to G (7):
- 7 - 1 = +6
- From F (6) to B (2):
- 2 - 6 = -4
- From H (8) to D (4):
- 4 - 8 = -4
- From O (15) to J (10):
- 10 - 15 = -5

4. **Establish the Pattern**:
- The pattern of changes is: +6, -4, -4, -5.

5. **Apply the Same Pattern to the Second Pair (CHFM)**:
- C = 3, H = 8, F = 6, M = 13
- Now, we will apply the same operations:
- From C (3) +6:
- 3 + 6 = 9 → I
- From H (8) -4:
- 8 - 4 = 4 → D
- From F (6) -4:
- 6 - 4 = 2 → B
- From M (13) -5:
- 13 - 5 = 8 → H

6. **Combine the Results**:
- Therefore, the resulting letters are I, D, B, H.

7. **Final Answer**:
- The answer to the analogy CHFM : ? is IDBH.