If M = 14, CAT = 57 then GLASS = ?

Options

A. 73
B. 51
C. 56
D. 77

Answer

To solve the problem, we need to find the reverse place values of the letters in the word "GLASS" and then sum them up to get the final code.

### Step-by-step Solution:

1. **Identify the Reverse Place Values:**
- The reverse place value of a letter is calculated by subtracting its position in the alphabet from 27. For example, A=1, B=2, ..., Z=26. Thus, the reverse place value for A is 27-1=26, for B is 27-2=25, and so on.

2. **Calculate the Reverse Place Values for Each Letter in "GLASS":**
- G: Position = 7, Reverse Place Value = 27 - 7 = 20
- L: Position = 12, Reverse Place Value = 27 - 12 = 15
- A: Position = 1, Reverse Place Value = 27 - 1 = 26
- S: Position = 19, Reverse Place Value = 27 - 19 = 8
- S: Position = 19 (again), Reverse Place Value = 27 - 19 = 8

3. **Sum the Reverse Place Values:**
- Now, we will add the reverse place values calculated:
\[ 20 (G) + 15 (L) + 26 (A) + 8 (S) + 8 (S) = 20 + 15 + 26 + 8 + 8 \]
- Performing the addition step-by-step:
- \(20 + 15 = 35\)
- \(35 + 26 = 61\)
- \(61 + 8 = 69\)
- \(69 + 8 = 77\)

4. **Final Result:**
- The sum of the reverse place values for the letters in "GLASS" is 77.

### Conclusion:
The code for "GLASS" is **77**.