In a certain code, HEALTH is written as KHDOWK. How is NORTH written in that…

Concept

In a letter-shift code, the same fixed alphabetical displacement is applied to every letter. The rule is first inferred from the given word-code pair and then applied position by position to the new word.

Application

1. Comparing HEALTH with KHDOWK gives H→K, E→H, A→D, L→O, T→W, and H→K. Every letter moves three positions forward in the alphabet.

2. Apply the same shift to NORTH: N→Q, O→R, R→U, T→W, and H→K.

3. Joining the coded letters in order gives QRUWK.

Cross-check

Shifting Q, R, U, W, K three positions backward gives N, O, R, T, H, which reconstructs NORTH.

Therefore, the code for NORTH is QRUWK.