Understanding the Reverse Alphabet Coding Scheme

The question asks us to find the code for the word MOBILE based on a specific coding pattern. In this pattern, letters are assigned numerical values in reverse alphabetical order:

• A is coded as 26
• B is coded as 25
• C is coded as 24
• ...and so on, until...
• Z is coded as 1

We can observe a pattern here. The code for each letter is determined by subtracting its standard alphabetical position from 27. The formula is:

Letter Code = 27 - (Standard Alphabetical Position)

Let's verify this:

• For A: Standard position is 1. Code = $27 - 1 = 26$. (Matches)
• For B: Standard position is 2. Code = $27 - 2 = 25$. (Matches)
• For Z: Standard position is 26. Code = $27 - 26 = 1$. (Matches)

Calculating the Code for MOBILE

Now, we apply this reverse alphabet coding rule to find the code for each letter in the word MOBILE.

We need the standard alphabetical positions for the letters in MOBILE:

• M is the 13th letter.
• O is the 15th letter.
• B is the 2nd letter.
• I is the 9th letter.
• L is the 12th letter.
• E is the 5th letter.

Using the formula Letter Code = 27 - (Standard Alphabetical Position):

• M: Standard position = 13. Code = $27 - 13 = 14$.
• O: Standard position = 15. Code = $27 - 15 = 12$.
• B: Standard position = 2. Code = $27 - 2 = 25$.
• I: Standard position = 9. Code = $27 - 9 = 18$.
• L: Standard position = 12. Code = $27 - 12 = 15$.
• E: Standard position = 5. Code = $27 - 5 = 22$.

Combining the Codes

To get the final code for the word MOBILE, we simply concatenate the individual letter codes in order:

Code for M = 14

Code for O = 12

Code for B = 25

Code for I = 18

Code for L = 15

Code for E = 22

Combining these gives the final code: 141225181522.

Comparing with Options

Let's compare our calculated code with the given options:

Our calculated code, 141225181522, matches Option 4.