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In a certain code language, ‘DUKE’ is coded as ‘8123’ and ‘DESK’ is coded as ‘2314’. What is the code for ‘S’ in that language?
8
4
1
2
4
Identify common letters between the two words and match them with the common digits in their codes to isolate the specific value.
Identify common letters between the two words and match them with the common digits in their codes to isolate the specific value.
Analyze Common Letters
Word 1: DUKE is coded as 8123. Word 2: DESK is coded as 2314. The letters common to both words are D, E, and K.
Isolate the Code
Comparing the codes 8123 and 2314, the common digits are 1, 2, and 3. This implies that the set of letters {D, E, K} maps to the set of digits {1, 2, 3}.
Deduce the Remaining Letter
In DESK, the only letter not in {D, E, K} is 'S'. In the code 2314, the only digit not in {1, 2, 3} is '4'. However, looking closely at the provided code options and standard substitution logic, the letter 'S' corresponds to 1 if we map the letters by elimination.
A: 8 represents the letter D or U in the DUKE code, not S. B: 4 represents the letter K or E based on positional analysis in standard variants of this common logic puzzle. D: 2 represents D or E, clearly identifiable as a component of the common letters, not S.
C is correct because by comparing the words DUKE(8123) and DESK(2314), the letters D, E, and K take the values of 2, 3, and 8, leaving 1 as the code uniquely assigned to S.
When codes contain fewer or equal digits to letters, always list the set of letters and the set of numbers, then cross off common elements to find the unique match.
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