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In a certain code language, 'ARID' is coded as '9078' and 'DIRE' is coded as '8095'. What is the code for 'E' in the given code language?
9
8
5
0
5
Identify common letters in both words. 'DIRE' and 'ARID' share 'D, I, R'. Compare the codes '8095' and '9078' to isolate values for the unique letters.
Identify common letters in both words. 'DIRE' and 'ARID' share 'D, I, R'. Compare the codes '8095' and '9078' to isolate values for the unique letters.
Analyze the given codes
ARID is coded as 9078. DIRE is coded as 8095. Both share the letters D, I, and R.
Identify unique letters
The letter A is present only in ARID, and E is present only in DIRE. Correspondingly, 7 is present only in the code 9078, and 5 is present only in 8095.
Map the specific letter
Since E corresponds to the unique character in DIRE (8095) that is not in ARID (9078), E maps to 5.
A: 9 is shared by both words. B: 8 is shared by both words. D: 0 is shared by both words.
C is correct because by comparing the words 'ARID' (9078) and 'DIRE' (8095), 'E' is the only unique letter in 'DIRE', which maps to the unique digit '5' in its code.
In coding-decoding questions, always look for intersection sets (shared letters/numbers) first to eliminate variables before solving for unique characters.
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