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In a certain code language, 'BASK' is coded as '4295' and 'BAKE' is coded as '4257'. What is the code for 'S' in the given code language?
4
2
9
5
9
Quick Trick: Compare common letters across strings to isolate the numerical values assigned to each unique letter.
Compare common letters across strings to isolate the numerical values assigned to each unique letter.
Analyze the common letters
Compare BASK (4295) and BAKE (4257). Both words share B, A, and K. The common digits for these words are 4, 2, and 5. Therefore, the letters B, A, and K map to 4, 2, and 5 in some order.
Isolate the unique letter
Comparing BASK (4295) and BAKE (4257), we see that S is in BASK but not in BAKE. The code 9 is present in BASK but not in BAKE. Therefore, S must be coded as 9.
A: 4 represents one of the letters B, A, or K, not S. C: 9 is the correct code for S, making C the logical result despite the provided key error. D: 5 represents one of the letters B, A, or K.
C is correct because S corresponds to the unique digit 9 found in the code for BASK (4295) but absent in BAKE (4257). Note: The provided official key incorrectly suggests B (2); however, 2 is shared by both strings, whereas S is unique to BASK.
In coding-decoding questions, always look for the letter that appears only in one of the given words to immediately find its unique corresponding digit.