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In a certain code language, 'POEM' is coded as '7591' and 'MINT' is coded as '6728'. What is the code for 'M' in the given code language?
2
7
6
1
7
Look for common letters in the given codes to identify the specific digit assigned to each letter.
Look for common letters in the given codes to identify the specific digit assigned to each letter.
Analyze the commonality between words
Given: POEM = 7591 and MINT = 6728. The letter 'M' is present in both words 'POEM' and 'MINT'.
Identify the common digit
The digits in POEM are {7, 5, 9, 1} and the digits in MINT are {6, 7, 2, 8}. The only common digit between these two sets is '7'.
Verify mapping for M
Since 'M' is the only common letter between POEM and MINT and '7' is the only common digit, it is established that M = 7.
A: 1 corresponds to other letters in POEM, C: 2 is part of MINT but not POEM, D: 6 is part of MINT but not POEM.
B is correct because the digit 7 is the only common number in the codes for POEM (7591) and MINT (6728), which corresponds to the common letter 'M'.
In coding-decoding questions, always check for intersecting letters across two different words to isolate their specific code values.
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