In a certain code, MATHURA is coded as JXQEROX. How will HOTELS be coded?

Concept

In a fixed-shift letter code, every letter is moved by the same number of positions in the alphabet.

If a shift crosses A or Z, the alphabet wraps around cyclically.

Application

1. Compare MATHURA with JXQEROX: M→J, A→X, T→Q, H→E, U→R, R→O, and A→X. Every letter moves three positions backward, including wrap-around from A to X.

2. Apply the same rule to HOTELS: H→E, O→L, T→Q, E→B, L→I, and S→P.

3. Reading the coded letters in order gives ELQBIP.

Cross-check

Shift ELQBIP three positions forward: E→H, L→O, Q→T, B→E, I→L, and P→S. This reproduces HOTELS, so its code is ELQBIP.