If 'A' is coded as 1, 'B' as 3, 'C' as 5 and so on, which of the following is…
2024
If 'A' is coded as 1, 'B' as 3, 'C' as 5 and so on, which of the following is the numerical value of the word 'FAZED'?
Answer: A. 79 — Concept: In a positional letter code each letter is mapped to a number by a fixed rule applied to its serial position in the alphabet (A=1, B=2, ... , Z=26).…
- A.
79
- B.
81
- C.
77
- D.
84
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Correct answer: A
Concept: In a positional letter code each letter is mapped to a number by a fixed rule applied to its serial position in the alphabet (A=1, B=2, ... , Z=26). Here the given values 1, 3, 5, ... for A, B, C form the sequence of odd numbers, so the rule is value = 2 × (position) − 1. A word's value is the sum of its letters' values.
Application: Read off each letter's position in FAZED, then apply 2 × position − 1, then add.
Letter | Position | Value = 2×pos−1 |
|---|---|---|
F | 6 | 11 |
A | 1 | 1 |
Z | 26 | 51 |
E | 5 | 9 |
D | 4 | 7 |
Adding the values: 11 + 1 + 51 + 9 + 7 = 79.
Cross-check: The rule can also be read as value = position + (position − 1); for C this gives 3 + 2 = 5, matching the given C = 5. Applying this form, F = 6 + 5 = 11 and Z = 26 + 25 = 51, the same letter values, so the total 79 is confirmed.
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