Coding-Decoding: If ‘WORK’ is coded as ‘4-12-9-16’, then how will you code…

Concept:

In letter-to-number coding-decoding questions, every letter is converted into a number by one fixed arithmetic rule — commonly its position in the alphabet, its position counted from the end, or a fixed operation applied to that position. The example word-and-code pair given in the question is used to discover this exact rule, which is then applied letter-by-letter to code the new word.

Application:

1. Find the alphabetical position of each letter of WORK: W = 23rd, O = 15th, R = 18th, K = 11th letter.

2. Compare these positions with the given code ‘4-12-9-16’: 27 − 23 = 4, 27 − 15 = 12, 27 − 18 = 9, 27 − 11 = 16 — every letter's code equals (27 minus its position), so the rule is code = 27 − position.

3. Find the alphabetical position of each letter of WOMAN: W = 23rd, O = 15th, M = 13th, A = 1st, N = 14th letter.

4. Apply the same rule to each letter: 27 − 23 = 4, 27 − 15 = 12, 27 − 13 = 14, 27 − 1 = 26, 27 − 14 = 13.

5. So WOMAN is coded as 4-12-14-26-13.

Cross-check:

For every letter in both words, (position) + (its code) equals 27 — 23+4, 15+12, 18+9, 11+16 for WORK, and 23+4, 15+12, 13+14, 1+26, 14+13 for WOMAN — confirming the same rule was applied consistently to each letter.