In a certain code language, TREASON is written as RKWWINX and POULTRY is written as CNXHYKT following a specific letter rearrangement and shifting rule. Using the same pattern, how is the word NUMBER written in that code?

Introduction / Context:
This coding-decoding problem uses a more complex pattern that combines alphabetic shifting with reversal of letters. We are told how TREASON and POULTRY are written in code, and we must apply the same systematic transformation to the word NUMBER to find its coded form.

Given Data / Assumptions:

• TREASON → RKWWINX.
• POULTRY → CNXHYKT.
• The same coding rule must be applied to NUMBER.
• The code appears to involve shifting letters and then reversing their order.

Concept / Approach:
By carefully comparing the given pairs, we observe that if we first shift each letter of the original word by alternating amounts and then reverse the resulting string, we obtain the code. In particular, when we compare TREASON with the reverse of its code, and similarly for POULTRY, a pattern of alternating plus and minus shifts emerges. We then apply the same letter-by-letter transformation to NUMBER and finally reverse the result to get the coded word.

Step-by-Step Solution:
Write TREASON and the reverse of its code: TREASON and XNIWWKR. Compare letter by letter: T→X, R→N, E→I, A→W, S→W, O→K, N→R. Observe that the shifts alternate approximately as +4, −4, +4, −4, +4, −4, +4 around the alphabet. The same alternating shift pattern is validated when we compare POULTRY with the reverse of CNXHYKT. Now apply the same alternating shifts to NUMBER. NUMBER letters in order: N, U, M, B, E, R. Apply +4, −4, +4, −4, +4, −4 respectively. N (14) + 4 → R (18). U (21) − 4 → Q (17). M (13) + 4 → Q (17). B (2) − 4 → X (24) when wrapped around the alphabet. E (5) + 4 → I (9). R (18) − 4 → N (14). Intermediate string (before reversing) = RQQXIN. Now reverse this to get the final code: NIXQQR.

Verification / Alternative check:
If we reverse NIXQQR we obtain RQQXIN, which matches our shifted intermediate string for NUMBER. The same two-step process (alternate shifts followed by reversal) reproduces the given codes for TREASON and POULTRY, so the rule is consistent.

Why Other Options Are Wrong:
Strings like JAIFAV, RQQXIN and VAFIAJ do not result from applying the established alternating shift plus reversal rule to NUMBER. In particular, RQQXIN is only the intermediate (unreversed) result and therefore is incomplete as a final code according to the pattern observed in the examples.

Common Pitfalls:
A frequent mistake is to look only for a simple Caesar shift without noticing the reversal step, or to use a fixed shift instead of alternating shifts. Another pitfall is to stop at the intermediate shifted string and forget the final reversal that produces the actual code.

Final Answer:
Following the same coding rule, NUMBER is written as NIXQQR in this code language.