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In a certain code language, 'REVS' is coded as '6942' and 'ORES' is coded as '6421'. What is the code for 'V' in the given code language?
2
9
4
6
9
Identify common letters in both words (RES) and match them to their common digits (6, 4, 2) to isolate the unique characters and their respective codes.
Identify common letters in both words (RES) and match them to their common digits (6, 4, 2) to isolate the unique characters and their respective codes.
Mapping REVS and ORES
Given REVS = 6942 and ORES = 6421. Both words share the letters R, E, and S. The common codes for these letters in both sets are 6, 4, and 2.
Isolating the code for V
In REVS (6942), the letters are R, E, V, S. Since R, E, S map to 6, 4, and 2 in some order, the remaining digit 9 must correspond to the remaining letter V.
A is 1, which corresponds to the O in ORES; C is 6, which is part of the common code for R, E, or S; D is 4, which is also part of the common code for R, E, or S.
B is correct because by comparing the common letters in 'REVS' and 'ORES', we isolate 'V' as corresponding to the unique digit 9.
In coding problems with overlapping letters, always create a Venn-style mental map of commonalities to quickly eliminate shared values.