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In a code, 'FAST' is '9735' and 'STAY' is '5391'. What is the code for 'F'?
7
9
3
5
7
Identify common letters in both words (S, A, T) and their common digits (9, 3, 5) to isolate the unique letter.
Identify common letters in both words (S, A, T) and their common digits (9, 3, 5) to isolate the unique letter.
Analyze the common letters
Word 1 'FAST' contains letters F, A, S, T. Word 2 'STAY' contains letters S, T, A, Y. The common letters between them are A, S, T.
Analyze the common digits
Code 1 '9735' contains digits 9, 7, 3, 5. Code 2 '5391' contains digits 5, 3, 9, 1. The common digits between them are 9, 3, and 5.
Isolate the unique letter
Since A, S, and T are represented by 9, 3, and 5 (in some order), the letter F in 'FAST' must correspond to the only remaining digit, which is 7.
B is wrong because 9 is shared by S, T, or A. C is wrong because 3 is shared by S, T, or A. D is wrong because 5 is shared by S, T, or A.
A is correct because F is the only letter in FAST not present in STAY, and 7 is the only digit in 9735 not present in 5391.
When comparing two codes, always list common elements first to eliminate noise and isolate the target variable.