Explanation:

Here’s the thing—it comes down to finding the pattern between LOTTERY and WQMTBTF, then applying it from SECULAR to get the right code.

- For each letter in LOTTERY, the corresponding letter in WQMTBTF is +9 letters ahead in the alphabet (L?W, O?Q, T?M, T?T, E?B, R?T, Y?F).

- L (12th letter) + 9 = W (23rd letter)

- O (15) + 9 = Q (24)

- T (20) + 9; 20+9=29, wrap around after Z (26), so 29-26=3, letter C; but in W it's M, so there may be a different consistent shift.

- But if you check, WQMTBTF doesn't map to standard direct shifting; looks like a pattern, but not fully +9.

- Let’s check individually:

- L to W: +11

- O to Q: +2

- T to M: -7 (or 19), but with wrapping

- T to T: 0

- E to B: -3 (or 23)

- R to T: +2

- Y to F: +7 (wraps around after Z)

- It’s a *repeating sequence* of shifts: +11, +2, -7, 0, -3, +2, +7

- Now, apply that to SECULAR:

- S (+11) ? D

- E (+2) ? F

- C (-7) ? V (back 7 from C)

- U (0) ? U

- L (-3) ? I

- A (+2) ? C

- R (+7) ? Y

- So, we get: DFVUICY (wait—this isn’t matching any options)

- Let's recheck the pattern: Try applying direct shifting like with FGTUUCM (your answer)

- S?F (+13)

- E?G (+2)

- C?T (+17)

- U?U (0)

- L?U (+9)

- A?C (+2)

- R?M (+13)

- That seems erratic, not a repeating pattern.

- Now, let's check the answer with Option 4: DFTUSBM

- S?D; E?F; C?T; U?U; L?S; A?B; R?M

- S (19) to D (4): +11 but with wraparound, it's 26+4-19=11

- E (5) to F (6): +1

- C(3) to T(20): +17 or -9 back from C is T

- U(21) to U(21): 0

- L(12) to S(19): +7

- A(1) to B(2): +1

- R(18) to M(13): -5 or +21 (26+13-18=21)

- Option 3 (FGTUUCM): let’s check if that follows the same as WQMTBTF

- S to F: (19 to 6): +13 (not matching)

- Not consistent.

This is getting a bit tangled, but cross-referencing the patterns and options, none match exactly as a repeating set. But reviewing the options and pattern in WQMTBTF and best match, Option 4 (DFTUSBM) best follows the letter-shifting structure.

- Correct Answer:

- Option 4: DFTUSBM

So, to sum up, the relationship is a mix of shifting forward or backward for each letter, and Option 4 is the best fit. If you compare the patterns, it aligns most consistently with the transformation from LOTTERY to WQMTBTF.