In a certain coding scheme, consonants and vowels are coded differently as illustrated below :
C is coded as 6
Z is coded as 52
E is coded as 9
O is coded as 29 .
Then find the sum of numerals in the codes version of FAITH

Options

A. 84
B. 85
C. 86
D. 87

Answer

To solve the problem, we need to decode the letters in the word "FAITH" using the given coding scheme for consonants and vowels.

### Step-by-Step Solution:

1. **Identify the Letters and Their Positions**:
- F (6th letter)
- A (1st letter)
- I (9th letter)
- T (20th letter)
- H (8th letter)

2. **Determine the Coding Scheme**:
- For consonants (F, T, H), the code is calculated by multiplying the position by 2.
- For vowels (A, I), the code is calculated by multiplying the position by 2 and then subtracting 1.

3. **Calculate the Code for Each Letter**:
- **F**:
- Position = 6
- Code = 6 × 2 = 12
- **A**:
- Position = 1
- Code = 1 × 2 - 1 = 1
- **I**:
- Position = 9
- Code = 9 × 2 - 1 = 17
- **T**:
- Position = 20
- Code = 20 × 2 = 40
- **H**:
- Position = 8
- Code = 8 × 2 = 16

4. **Sum the Codes**:
- Total Code = 12 (F) + 1 (A) + 17 (I) + 40 (T) + 16 (H)
- Total Code = 12 + 1 + 17 + 40 + 16 = 86

### Final Answer:
The sum of the numerals in the code's version of "FAITH" is **86**.

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