In a certain code language, "X" = 1728 and "R" = 729. How will "H" be coded in…

Concept: In alphabet-coding problems of this type, each letter is first converted into its position in the English alphabet (A = 1, B = 2, ..., Z = 26); a fixed arithmetic rule is then applied to that position number to produce the code.

1. "X" is the 24th letter of the alphabet, so its position is 24. Half of 24 is 12, and 12 × 12 × 12 = 1728 — this matches the given code for X.

2. "R" is the 18th letter of the alphabet, so its position is 18. Half of 18 is 9, and 9 × 9 × 9 = 729 — this matches the given code for R.

3. "H" is the 8th letter of the alphabet, so its position is 8. Half of 8 is 4, and 4 × 4 × 4 = 64.

Cross-check: Both given codes (1728 for X and 729 for R) are reproduced exactly by halving the letter's position and cubing the result, confirming the rule; applying the same rule to H gives 64.