Coding Language Analysis: Finding the Code for 'R'

This solution explains the logical steps to determine the numerical code for the letter 'R' based on the given coded words.

Decoding the Given Codes

We are provided with the following coded information:

• The word 'AUTO' is coded as the number '2683'.
• The word 'TOUR' is coded as the number '8136'.

Identifying Letter-Digit Correspondences

We compare the letters and digits in both words and their codes to find the pattern:

• Letters in 'AUTO': A, U, T, O
• Code for 'AUTO': 2, 6, 8, 3
• Letters in 'TOUR': T, O, U, R
• Code for 'TOUR': 8, 1, 3, 6

By comparing the letters present in both words ('AUTO' and 'TOUR'), we find the common letters are T, O, and U.

By comparing the digits in both codes ('2683' and '8136'), we find the common digits are 6, 8, and 3.

This means the letters {T, O, U} correspond to the digits {6, 8, 3} in some arrangement.

Determining the Code for 'R'

Next, we identify the unique letters and digits:

• The letter 'A' is present only in 'AUTO'. The digit '2' is present only in the code '2683'. Therefore, the code for 'A' is '2'.
• The letter 'R' is present only in 'TOUR'. The digit '1' is present only in the code '8136'. Therefore, the code for 'R' is '1'.

Based on this deduction, the code for the letter 'R' is 1.