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In a certain code language, 'WIFE' is coded as '1852' and 'FIRE' is coded as '7258'. What is the code for 'R' in the given code language?
7
2
5
8
7
Identify common letters between the two given words ('WIFE' and 'FIRE') and their corresponding shared digits. 'I', 'F', 'E' are common to both; 'I'=5, 'F'=7, 'E'=2. By elimination, 'R' corresponds to the remaining digit.
Identify common letters between the two given words ('WIFE' and 'FIRE') and their corresponding shared digits. 'I', 'F', 'E' are common to both; 'I'=5, 'F'=7, 'E'=2. By elimination, 'R' corresponds to the remaining digit.
Analyze the given codes
Given: WIFE = 1852, FIRE = 7258. Both words share letters 'I', 'F', and 'E'.
Identify common mapping
The digits present in both 1852 and 7258 are 2, 5, and 8. Therefore, the letters {I, F, E} correspond to the set {2, 5, 8}.
Isolate the unknown
In 'FIRE', the letter 'R' is the only one not in 'WIFE'. In the code '7258', the digit '7' is the only one not in '1852'. Thus, R must be 7.
B: 2 is likely E or I; C: 5 is likely I or E; D: 8 is likely I or E. Only 7 corresponds uniquely to R.
A is correct because by comparing the common letters {I, F, E} in 'WIFE' and 'FIRE' with the common digits {2, 5, 8}, 'R' must correspond to the only remaining unique digit, 7.
In letter-coding questions, always prioritize identifying common elements across given words before checking individual letter positions or alphabetical values.
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