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

2023

If in a scheme, the word 'FATHER' is coded as '104', how the word 'MOTHER' will be coded in the same scheme?

Answer: B. 83Solution: 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…

  1. A.

    104

  2. B.

    83

  3. C.

    87

  4. D.

    102

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Correct answer: B

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.

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