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In a certain code language, ‘SNOW’ is coded as ‘1732’ and ‘KNOW’ is coded as ‘5317’. What is the code for ‘K’ in that language?
7
5
2
1
5
Identify common letters between words; if 'SNOW' and 'KNOW' share letters 'NOW', find the common digits and subtract them to isolate the unique code.
Identify common letters between words; if 'SNOW' and 'KNOW' share letters 'NOW', find the common digits and subtract them to isolate the unique code.
Analyze the given codes
SNOW = 1732, KNOW = 5317. The letters 'NOW' are common to both words. The digits '1, 3, 7' are common to both codes.
Isolate the unique letters
In SNOW, the letter S is unique, and in KNOW, the letter K is unique. Comparing the codes, 1, 3, 7 represent the letters N, O, W in some order. The remaining digit 2 in SNOW must represent S, and the remaining digit 5 in KNOW must represent K.
Verify mapping
If K = 5, then the code for KNOW (5317) correctly assigns 5 to K. Option D says 1 is the answer, which contradicts the deduction. However, adhering to the logic that K maps to 5, we identify the correct digit.
A: 7 is part of the code for the common letters N, O, W. B: 5 is the deduced code for K. C: 2 is the code for S. D: 1 is part of the code for the common letters N, O, W, so it cannot be K.
B is correct because the common letters in SNOW and KNOW are N, O, and W, which map to the digits 1, 3, and 7; since the remaining letter K in KNOW maps to the only remaining digit 5.
In coding-decoding questions, always list the common elements first to reduce the complexity of the remaining letters.
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