Understanding the Coding Pattern

This question is based on a coding language where specific letters are represented by numbers. We are given two examples:

• The word 'BEST' is coded as '4568'.
• The word 'STAB' is coded as '8965'.

Our goal is to determine the numerical code for the letter 'A' using the information provided.

Comparing the Codes

Let's list the letters and the corresponding digits for each word:

• BEST corresponds to the digits 4, 5, 6, 8.
• STAB corresponds to the digits 8, 9, 6, 5.

Now, we compare the letters and digits between the two words:

• Common Letters: The letters that appear in both 'BEST' and 'STAB' are S, T, B.
• Common Digits: The digits that appear in both codes '4568' and '8965' are 5, 6, 8.

This comparison tells us that the letters S, T, and B are represented by the digits 5, 6, and 8, although we don't know the exact mapping for each (e.g., S could be 5, 6, or 8).

Finding the Code for 'A'

Let's look at the unique elements:

• The letter 'A' appears only in the word 'STAB'.
• The digits used for 'STAB' are 8, 9, 6, 5.
• The digits used for 'BEST' are 4, 5, 6, 8.

Comparing the digits, we find the digit that is present in the code for 'STAB' (8965) but not in the code for 'BEST' (4568). The common digits are 5, 6, and 8. The unique digit in 8965 that is not in 4568 is 9.

Since 'A' is the unique letter in 'STAB' compared to 'BEST', and '9' is the unique digit in the code for 'STAB' compared to the code for 'BEST', we can conclude that the code for 'A' is 9.

We can also deduce the code for 'E'. 'E' is unique to 'BEST', and '4' is unique to the code '4568'. Therefore, E = 4.

The coding is as follows (though the exact codes for S, T, B aren't fully determined, it doesn't affect finding 'A'):

• A = 9
• E = 4
• {B, S, T} correspond to {5, 6, 8}

Thus, the code for 'A' is 9.