`{:(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):}`
ACE: BDF :: FHJ : ?

Options

A. GIK
B. GHK
C. DFH
D. FHL

Explanation

To solve the analogy problem ACE: BDF :: FHJ : ?, we need to identify the pattern in the first pair (ACE and BDF) and then apply the same pattern to the second pair (FHJ).

### Step-by-Step Solution:

1. **Identify the First Pair (ACE and BDF)**:
- A is the 1st letter of the alphabet.
- C is the 3rd letter of the alphabet.
- E is the 5th letter of the alphabet.
- The positions of these letters are: A(1), C(3), E(5).

2. **Identify the Second Pair (BDF)**:
- B is the 2nd letter of the alphabet.
- D is the 4th letter of the alphabet.
- F is the 6th letter of the alphabet.
- The positions of these letters are: B(2), D(4), F(6).

3. **Determine the Pattern**:
- In the first pair, each letter's position increases by 1 from the previous letter:
- A (1) → C (3) → E (5) (increases by 2 positions each time)
- In the second pair, the positions also increase by 1:
- B (2) → D (4) → F (6) (increases by 2 positions each time)

4. **Apply the Same Pattern to the Second Pair (FHJ)**:
- F is the 6th letter of the alphabet.
- H is the 8th letter of the alphabet.
- J is the 10th letter of the alphabet.
- The positions of these letters are: F(6), H(8), J(10).

5. **Calculate the Next Letters**:
- To find the next letters, we will add 1 to each letter:
- F (6) + 1 = G (7)
- H (8) + 1 = I (9)
- J (10) + 1 = K (11)

6. **Final Result**:
- Therefore, the answer to FHJ is GIK.

### Conclusion:
The answer is GIK.