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In a certain code language, 'LOBE' is coded as '2653' and 'BORE' is coded as '6823'. What is the code for 'L' in the given code language?
3
5
2
8
5
Identify common letters between the given codes to isolate specific values using set intersection.
Identify common letters between the given codes to isolate specific values using set intersection.
Analyze the given codes
LOBE is coded as 2653 and BORE is coded as 6823. We note the common letters between the two words are O, B, and E.
Compare the codes to isolate values
The common letters B, O, E correspond to the numbers 2, 6, 3 (in some order). Looking at LOBE (2653), since B, O, E take up 2, 6, and 3, the remaining letter L must correspond to the only remaining number, which is 5.
A: 3 is the code for one of the letters O, B, or E. C: 2 is the code for one of the letters O, B, or E. D: 8 is the code for the letter R, which appears in BORE but not LOBE.
B is correct because LOBE uses 2, 6, 5, 3 and BORE uses 6, 8, 2, 3; since O, B, E are shared by both words and represented by digits 2, 3, and 6, the remaining digit 5 must represent L.
In word-to-number coding, always list the common letters first; if the number of common letters matches the number of common digits, the remaining letter-digit pairs are unique to their respective words.
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