Understanding the Coding Pattern for WORK and POLICE

The question provides a coded form for the word WORK as 4-12-9-16 and asks us to find the code for the word POLICE using the same pattern.

First, let's analyze the coding pattern used for the word WORK.

Let's look at the letters in WORK and their standard positions in the English alphabet (A=1, B=2, ..., Z=26):

• W is the 23rd letter.
• O is the 15th letter.
• R is the 18th letter.
• K is the 11th letter.

The given code for WORK is 4-12-9-16. Comparing the standard positions (23, 15, 18, 11) with the coded numbers (4, 12, 9, 16), we can see they are different.

Let's try checking the reverse alphabetical position. The reverse position of a letter can be calculated by subtracting its standard position from 27 (or 26 - position + 1).

• For W (position 23): Reverse position is $27 - 23 = 4$. This matches the first number in the code (4).
• For O (position 15): Reverse position is $27 - 15 = 12$. This matches the second number in the code (12).
• For R (position 18): Reverse position is $27 - 18 = 9$. This matches the third number in the code (9).
• For K (position 11): Reverse position is $27 - 11 = 16$. This matches the fourth number in the code (16).

So, the pattern used is assigning each letter its reverse alphabetical position.

Now, let's apply this pattern to the word POLICE to find its code.

We will find the reverse alphabetical position for each letter in POLICE:

• P is the 16th letter. Reverse position is $27 - 16 = 11$.
• O is the 15th letter. Reverse position is $27 - 15 = 12$.
• L is the 12th letter. Reverse position is $27 - 12 = 15$.
• I is the 9th letter. Reverse position is $27 - 9 = 18$.
• C is the 3rd letter. Reverse position is $27 - 3 = 24$.
• E is the 5th letter. Reverse position is $27 - 5 = 22$.

Therefore, the code for POLICE is 11-12-15-18-24-22.

Comparing this code with the given options, we find that the code 11-12-15-18-24-22 matches one of the options provided.