`{:(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):}`
BIGE : JQOM :: RYWU : ?

Options

A. AGFD
B. ZFDB
C. ZGEC
D. ZYVX

Explanation

To solve the analogy problem, we need to identify the pattern in the first pair of words and apply the same pattern to the second pair.

### Step-by-Step Solution:

1. **Identify the first pair:** The first pair given is "BIGE" and "JQOM".

2. **Convert letters to their corresponding numbers:**
- A=1, B=2, C=3, ..., Z=26
- B = 2, I = 9, G = 7, E = 5
- J = 10, Q = 17, O = 15, M = 13

3. **Calculate the difference for each letter:**
- From B (2) to J (10):
- 10 - 2 = 8
- From I (9) to Q (17):
- 17 - 9 = 8
- From G (7) to O (15):
- 15 - 7 = 8
- From E (5) to M (13):
- 13 - 5 = 8

This shows that each letter in "BIGE" is increased by 8 to get the corresponding letter in "JQOM".

4. **Apply the same pattern to the second pair:** The second pair is "RYWU".
- R = 18, Y = 25, W = 23, U = 21

5. **Add 8 to each letter:**
- For R (18):
- 18 + 8 = 26 (which corresponds to Z)
- For Y (25):
- 25 + 8 = 33 (but since there are only 26 letters, we wrap around: 33 - 26 = 7, which corresponds to G)
- For W (23):
- 23 + 8 = 31 (wrap around: 31 - 26 = 5, which corresponds to E)
- For U (21):
- 21 + 8 = 29 (wrap around: 29 - 26 = 3, which corresponds to C)

6. **Combine the results:**
- The letters obtained are Z, G, E, C.

7. **Final answer:** Therefore, RYWU corresponds to ZGEC.