In a certain code language SHOWER is written as RINXDS. How will REPORT be…

Concept

In a letter-shift code, each letter of the original word is moved a fixed number of positions through the alphabet (A=1 … Z=26). When a code applies a repeating pattern of shifts, you must first read off that pattern position-by-position from the given example, then apply the very same pattern to the new word, letter by letter in the same order.

Application

Compare SHOWER with its code RINXDS position by position to extract the shift pattern:

1. S (19) → R (18): shift −1

2. H (8) → I (9): shift +1

3. O (15) → N (14): shift −1

4. W (23) → X (24): shift +1

5. E (5) → D (4): shift −1

6. R (18) → S (19): shift +1

So the pattern is the alternating sequence −1, +1, −1, +1, −1, +1. Now apply exactly this pattern to REPORT (R-E-P-O-R-T):

1. R (18) − 1 → Q (17)

2. E (5) + 1 → F (6)

3. P (16) − 1 → O (15)

4. O (15) + 1 → P (16)

5. R (18) − 1 → Q (17)

6. T (20) + 1 → U (21)

Reading the results in order gives QFOPQU.

Cross-check

Reverse the operation on QFOPQU using +1, −1, +1, −1, +1, −1: Q→R, F→E, O→P, P→O, Q→R, U→T, which reconstructs REPORT exactly. The pattern and the result are consistent.