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In a certain code language, 'RIFE' is coded as '3647' and 'FORE' is coded as '6438'. What is the code for 'O' in the given code language?
8
3
4
6
8
Identify common letters in both words (R, E, F) and compare their shared digits to find the unique value for O.
Identify common letters in both words (R, E, F) and compare their shared digits to find the unique value for O.
Mapping the shared letters
RIFE is coded as 3647 and FORE is coded as 6438. The common letters between RIFE and FORE are R, E, and F.
Identifying digits for shared letters
The set of digits common to both codes {3647} and {6438} is {3, 6, 4}. Therefore, the letters R, E, and F correspond to the digits 3, 6, and 4 in some order.
Isolating the letter O
In the word FORE, the letter O is the only character that is not part of the common set {R, E, F}. Similarly, the digit 8 in the code 6438 is the only digit not present in the code for RIFE (3647). Thus, O must correspond to 8.
B: 6 is a code for one of the shared letters R, E, or F. C: 4 is a code for one of the shared letters R, E, or F. D: 3 is a code for one of the shared letters R, E, or F.
A is correct because 8 is the only digit in the code for FORE (6438) that does not appear in the code for RIFE (3647), representing the unique letter O.
When comparing two words with shared letters, always isolate the non-matching letters first to quickly identify their corresponding digits.
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