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In a certain code language, 'POKED' is coded as '85263' and 'TOKED' is coded as '36584'. What is the code for 'T' in the given code language?
3
5
8
4
4
Identify common letters in both words to find the corresponding digits. Since 'TO' is in 'TOKED' but not 'POKED', look for digits unique to the sequence.
Identify common letters in both words to find the corresponding digits. Since 'TO' is in 'TOKED' but not 'POKED', look for digits unique to the sequence.
Identify Common Letters
Both words 'POKED' and 'TOKED' share the letters 'O', 'K', 'E', 'D'.
Map Common Digits
The codes are '85263' and '36584'. Both strings contain digits '3', '5', '6', and '8'. Therefore, {O, K, E, D} corresponds to {3, 5, 6, 8} in some order.
Isolate the Unique Letter
The only letters that differ are 'P' in 'POKED' (which maps to '2') and 'T' in 'TOKED' (which maps to '4').
A: Represents the digit 3 which is shared by 'O, K, E, D'. B: Represents the digit 5, which is also a shared digit. C: Represents the digit 8, which is also a shared digit.
D is correct because 'T' is the only letter unique to 'TOKED' compared to 'POKED', and '4' is the only digit unique to the code '36584' compared to '85263'.
In coding questions involving shared letters, always list the set of unique letters and unique digits first to eliminate noise quickly.