If SAVOURY is coded as OVUARSY then how will RADIATE be coded?

Concept: In this letter-coding pattern, the code is NOT built from a fresh alphabet shift — it uses the SAME letters of the given word, only rearranged. Comparing the word with its code, position by position, reveals a fixed position sequence: it tells you which position of the original word each position of the code is drawn from. Applying that exact same position sequence to a new word produces its code.

Application -

1. Number the letters of SAVOURY by position: S(1), A(2), V(3), O(4), U(5), R(6), Y(7).

2. Locate each letter of the code OVUARSY within SAVOURY to see which original position it came from.

1. So the position sequence, read down the third column, is 4, 3, 5, 2, 6, 1, 7 — i.e., code-position 1 takes the letter sitting at original-position 4, code-position 2 takes the letter at original-position 3, and so on.

2. Number the letters of RADIATE the same way: R(1), A(2), D(3), I(4), A(5), T(6), E(7).

3. Apply the SAME position sequence (4, 3, 5, 2, 6, 1, 7) to RADIATE: take the letter at position 4 first, then the letter at position 3, then position 5, then position 2, then position 6, then position 1, then position 7.

4. Position 4 of RADIATE is I, position 3 is D, position 5 is A, position 2 is A, position 6 is T, position 1 is R, and position 7 is E — laid out in that order this gives I, D, A, A, T, R, E, i.e. IDAATRE.

Cross-check - IDAATRE uses exactly the letters I, D, A, A, T, R, E, which is the same multiset of seven letters as R, A, D, I, A, T, E in RADIATE, just reordered — confirming no letter was dropped, duplicated, or substituted while applying the sequence.

So RADIATE is coded as IDAATRE.