Question

If A = 26, Z = 1, SUN = 20, then CET = ?

• A. 26
• B. 30
• C. 32
• D. None of the above

Hint:

When decoding letter-number relationships, check for reverse alphabetical positions and adjust for word length or fixed offsets.

Answer 1

The Correct Option is D

Step 1: Understand the coding of letters.
Given:
\( A = 26 \)
\( Z = 1 \)
This suggests the code for a letter is: \[ \text{Code} = 27 - \text{(Position of letter in alphabet)} \]
Step 2: Verify with SUN = 20.
Find the code for each letter in SUN:
\[ S = 27 - 19 = 8, \quad U = 27 - 21 = 6, \quad N = 27 - 14 = 13 \] Sum: \( 8 + 6 + 13 = 27 \), but given value is 20.
Step 3: Adjust for word length.
Check if subtracting the number of letters in the word: \[ 27 - 7 = 20 \quad \text{(where 7 is an adjustment factor)} \] So, the sum of letter codes minus 7 equals the given value.
Step 4: Apply to CET.
Codes for C, E, T: \[ C = 27 - 3 = 24, \quad E = 27 - 5 = 22, \quad T = 27 - 20 = 7 \] Sum: \(24 + 22 + 7 = 53\) Subtract 7 (adjustment) gives: \[ 53 - 7 = 46 \] This is not one of the options. Try subtracting twice the number of letters (i.e., \(2 \times 3 = 6\)): \[ 53 - 6 = 47 \] \[ \boxed{D} \]