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In a certain code language, ‘SHAT’ is coded as ‘4956’ and ‘ASHY’ is coded as ‘3645’. What is the code for ‘Y’ in the given code language?
6
5
4
3
3
Identify common letters in both words to isolate their specific code values by cross-referencing their positions.
Identify common letters in both words to isolate their specific code values by cross-referencing their positions.
Mapping Common Characters
SHAT = 4956 and ASHY = 3645. Both words share letters 'S', 'H', and 'A', which correspond to the digits {4, 5, 6} in some order.
Identifying Unique Letters
In SHAT, the unique letter is 'T' and the unique digit is '9'. In ASHY, the unique letter is 'Y' and the unique digit is '3'.
Final Conclusion
By comparing the sets, 'Y' is not present in SHAT (4956), and since '3' is not present in 4956, 'Y' must correspond to '3'.
A: 6 is part of the common set {4, 5, 6}, which represents S, H, or A. B: 5 is also part of the common set {4, 5, 6}. C: 4 is also part of the common set {4, 5, 6}.
D is correct because Y is the unique letter in ASHY not found in SHAT, and 3 is the unique digit in the code 3645 not found in 4956.
In coding-decoding questions, always look for the intersection of sets first to narrow down the possible values of the remaining unique elements.