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In a certain code language, 'REPS' is coded as '9631' and 'EARS' is coded as '6914'. What is the code for 'A' in the given code language?
6
9
1
4
4
Identify common letters in both words to map their corresponding numbers. E, R, and S appear in both 'REPS' and 'EARS', which helps isolate A.
Identify common letters in both words to map their corresponding numbers. E, R, and S appear in both 'REPS' and 'EARS', which helps isolate A.
Mapping the shared letters
The word 'REPS' is coded as '9631' and 'EARS' is coded as '6914'. The letters common to both words are E, R, and S. The numbers common to both codes are 9, 6, and 1.
Identifying the code for A
In 'REPS' (9631), the letters are R, E, P, S. In 'EARS' (6914), the letters are E, A, R, S. By comparing the codes, we see that the letters {E, R, S} correspond to the numbers {9, 6, 1} in some order. The letter 'A' exists only in 'EARS' (6914) and not in 'REPS' (9631). Comparing the numbers, the number '4' is present in the code for 'EARS' but not in the code for 'REPS'. Therefore, 'A' must be coded as '4'.
A: 1 is a common number shared by E, R, or S, not A. B: 6 is a common number shared by E, R, or S, not A. C: 9 is a common number shared by E, R, or S, not A.
D is correct because 4 is the only number present in the code for 'EARS' that is not present in the code for 'REPS', uniquely identifying it as the code for 'A'.
In coding-decoding questions, always look for the unique letter/number pair first to save time before trying to decode the entire string.
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