In a certain code language, **'LDWR'** is coded as **'NGUQ'** and **'BFKZ'** is coded as **'DIIY'**. What is the code for **'YTGX'** in the given code language?

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**Solution:**

1. Analyze the given examples:

- 'LDWR' → 'NGUQ'
   - 'BFKZ' → 'DIIY'

2. Convert letters to their alphabetical positions (A=1, B=2, ..., Z=26):

For 'LDWR':
   - L = 12
   - D = 4
   - W = 23
   - R = 18

For 'NGUQ':
   - N = 14
   - G = 7
   - U = 21
   - Q = 17

3. Find the difference between coded and original letters:

- N(14) - L(12) = +2
   - G(7) - D(4) = +3
   - U(21) - W(23) = -2 (or +24 mod 26)
   - Q(17) - R(18) = -1 (or +25 mod 26)

4. For 'BFKZ' → 'DIIY':

Original:
   - B = 2
   - F = 6
   - K = 11
   - Z = 26

Coded:
   - D = 4
   - I = 9
   - I = 9
   - Y = 25

5. Differences:

- D(4) - B(2) = +2
   - I(9) - F(6) = +3
   - I(9) - K(11) = -2 (or +24 mod 26)
   - Y(25) - Z(26) = -1 (or +25 mod 26)

6. Pattern observed:

The coding rule is:
   - 1st letter: +2
   - 2nd letter: +3
   - 3rd letter: -2
   - 4th letter: -1

7. Apply this pattern to 'YTGX':

Original letters:
   - Y = 25
   - T = 20
   - G = 7
   - X = 24

Apply shifts:
   - 1st letter: 25 + 2 = 27 → 27 - 26 = 1 → A
   - 2nd letter: 20 + 3 = 23 → W
   - 3rd letter: 7 - 2 = 5 → E
   - 4th letter: 24 - 1 = 23 → W

8. So, the code is **AWEW**.

**Answer:** AWEW

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