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In a certain code language, 'TREF' is coded as '3528' and 'KERF' is coded as '5438'. What is the code for 'K' in the given code language?
3
8
4
5
4
Identify common letters between the given words and their corresponding codes to deduce the value for K.
Identify common letters between the given words and their corresponding codes to deduce the value for K.
Analyze Given Codes
Given: T R E F = 3 5 2 8 and K E R F = 5 4 3 8. Both codes use the same set of digits (3, 5, 8) for the shared letters E, R, and F.
Find the Unique Letter
Comparing the two words: 'TREF' has T, 'KERF' has K. The codes share {3, 5, 8}, leaving 2 for T and 4 for K. Therefore, K = 4.
A: Represents the digit 3 (incorrect). B: Represents the digit 8 (incorrect). D: Represents the digit 5 (incorrect).
C is correct because by comparing the common letters (E, R, F) which map to the shared digits (3, 5, 8) in both codes, the remaining letter K must map to the remaining digit 4.
In coding-decoding questions, always isolate common elements first before assigning individual values to ensure accuracy.
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