Understanding the Code Language Pattern

The question asks us to decipher a code language where the word CLIMAX is represented by the number 312913124. We need to find the corresponding code for the word RESIGN using the same pattern.

Identifying the Letter-to-Number Mapping

Let's examine the relationship between the letters in CLIMAX and its numerical code 312913124. The most common method in such problems is mapping letters to their positions in the English alphabet (A=1, B=2, C=3, ...).

• C is the 3^rd letter of the alphabet.
• L is the 12^th letter of the alphabet.
• I is the 9^th letter of the alphabet.
• M is the 13^th letter of the alphabet.
• A is the 1^st letter of the alphabet.
• X is the 24^th letter of the alphabet.

If we concatenate these positional numbers, we get:

C $\rightarrow$ 3
L $\rightarrow$ 12
I $\rightarrow$ 9
M $\rightarrow$ 13
A $\rightarrow$ 1
X $\rightarrow$ 24

Concatenated result: 312913124 = 312913124.

This sequence exactly matches the code given for CLIMAX. Therefore, the coding rule is to replace each letter with its alphabetical position number and concatenate them.

Encoding the Word RESIGN

Now, let's apply this confirmed pattern to the word RESIGN.

We need to find the alphabetical position for each letter in RESIGN:

• R is the 18^th letter.
• E is the 5^th letter.
• S is the 19^th letter.
• I is the 9^th letter.
• G is the 7^th letter.
• N is the 14^th letter.

Using LaTeX notation for the positions:

R $\rightarrow$ 18
E $\rightarrow$ 5
S $\rightarrow$ 19
I $\rightarrow$ 9
G $\rightarrow$ 7
N $\rightarrow$ 14

Concatenating these numbers sequentially, we get the code for RESIGN:

185199714 = 185199714.

Matching the Result with Options

The calculated code for RESIGN is 185199714. Let's compare this with the provided options:

• Option 1: 185199713
• Option 2: 195209714
• Option 3: 185198614
• Option 4: 185199714

Our calculated code, 185199714, perfectly matches Option 4.