In a certain code language, 'PAST' is coded as '9713' and 'SORE' is coded as '8146'. What is the code for 'S' in that language?
Code Decoding for 'S'
This problem requires us to decipher a coding pattern where letters correspond to numbers. Our goal is to identify the specific numerical code for the letter 'S' using the provided examples.
Coded Word Analysis
We are given the following coded representations:
- The word 'PAST' is coded as the number sequence '9713'.
- The word 'SORE' is coded as the number sequence '8146'.
Letter-Number Mapping Comparison
To find the code for 'S', we examine both words and their codes:
Word 1: 'PAST'
- Letters involved: P, A, S, T
- Corresponding digits: 9, 7, 1, 3
Word 2: 'SORE'
- Letters involved: S, O, R, E
- Corresponding digits: 8, 1, 4, 6
We observe that the letter 'S' is the only letter present in both 'PAST' and 'SORE'.
Next, we compare the digits used in each code:
- Digits in 'PAST' code: {9, 7, 1, 3}
- Digits in 'SORE' code: {8, 1, 4, 6}
By comparing these sets of digits, we find that the digit '1' is the only digit common to both codes.
Determining the Code for 'S'
Since 'S' is the sole common letter between the words 'PAST' and 'SORE', and '1' is the sole common digit appearing in both their codes ('9713' and '8146'), we can logically conclude that the code assigned to the letter 'S' is '1'.
Solution Verification
The code derived for 'S' through this comparison is '1'. This result aligns with option 1 provided in the question.
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