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In a certain code language, ‘KIDS’ is coded as ‘1248’ and ‘SILK’ is coded as ‘2941’. What is the code for ‘L’ in that language?
9
2
1
8
9
Identify the common letters between the two words and match them to the shared digits to isolate the code for the target letter.
Identify the common letters between the two words and match them to the shared digits to isolate the code for the target letter.
Mapping the shared letters
Compare the words KIDS (1248) and SILK (2941). The letters common to both words are K, I, S. The digits common to both codes are 1, 2, 4.
Deduction by exclusion
In KIDS (1248), letters K, I, D, S correspond to digits 1, 2, 4, 8 in some order. In SILK (2941), letters S, I, L, K correspond to digits 2, 9, 4, 1. Since L is the only letter in SILK not in KIDS, and 9 is the only digit in 2941 not in 1248, L must be 9.
B is wrong because 2 is a shared digit (S, I, or K). C is wrong because 1 is a shared digit (S, I, or K). D is wrong because 8 is the code for the letter D (the only unique letter in KIDS).
A is correct because L is the unique letter in SILK, and 9 is the unique digit associated with it compared to the shared letters K, I, and S.
In coding-decoding, always check for shared letters first to reduce the set of possible codes before analyzing unique positions.
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