If in a scheme, the word 'FATHER' is coded as '104', how the word 'MOTHER'…

Solution: The coding rule is to take each letter's reverse alphabetical position (reverse position = 27 − standard position; so A = 26, B = 25, …, Z = 1) and sum those values for the word.

Verify with the given example FATHER → 104:

• F: standard position 6 → reverse 27 − 6 = 21

• A: standard position 1 → reverse 27 − 1 = 26

• T: standard position 20 → reverse 27 − 20 = 7

• H: standard position 8 → reverse 27 − 8 = 19

• E: standard position 5 → reverse 27 − 5 = 22

• R: standard position 18 → reverse 27 − 18 = 9

Sum for FATHER: 21 + 26 + 7 + 19 + 22 + 9 = 104, which matches the given code.

Apply the same rule to MOTHER:

• M: standard position 13 → reverse 27 − 13 = 14

• O: standard position 15 → reverse 27 − 15 = 12

• T: standard position 20 → reverse 27 − 20 = 7

• H: standard position 8 → reverse 27 − 8 = 19

• E: standard position 5 → reverse 27 − 5 = 22

• R: standard position 18 → reverse 27 − 18 = 9

Sum for MOTHER: 14 + 12 + 7 + 19 + 22 + 9 = 83. Therefore, the word MOTHER is coded as 83.