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In a certain code language, 'cafe hotel room' is coded as 'aa bb ee', 'room kitchen hall' is coded as 'ff aa bb', and 'hall hotel garden' is coded as 'ee ff tt'. What is the code for 'garden' in the given code language?
bb
tt
ff
ee
tt
Compare common words across equations to directly isolate and map each word to its respective two-letter code.
Compare common words across equations to directly isolate and map each word to its respective two-letter code.
Analyze First and Second Equations
Given: 'cafe hotel room' = 'aa bb ee' and 'room kitchen hall' = 'ff aa bb'. The common words are 'room' and the common codes are 'aa' and 'bb'. Thus, 'room' is coded as either 'aa' or 'bb'.
Analyze Third Equation & Isolate 'hall'
Given: 'hall hotel garden' = 'ee ff tt'. Comparing with Equation 2 ('room kitchen hall' = 'ff aa bb'), the common word is 'hall' and the common code is 'ff'. Therefore, 'hall' = 'ff'.
Find the Code for 'hotel'
Comparing Equation 1 ('cafe hotel room' = 'aa bb ee') and Equation 3 ('hall hotel garden' = 'ee ff tt'), the common word is 'hotel' and the common code is 'ee'. Therefore, 'hotel' = 'ee'.
Determine the Code for 'garden'
In Equation 3 ('hall' = 'ff', 'hotel' = 'ee', 'garden' = 'tt') for the code 'ee ff tt', since 'hall' = 'ff' and 'hotel' = 'ee', the remaining word 'garden' must be coded as 'tt'.
A: 'ff' is the code for 'hall'. C: 'ee' is the code for 'hotel'. D: 'bb' is the code for 'room' or 'cafe'.
B is correct because by comparing the common words and codes across the three given statements, 'hall' = 'ff' and 'hotel' = 'ee', which leaves 'garden' coded as 'tt'.
In word substitution coding questions always look for recurring words across multiple sentences to immediately determine their specific codes before tackling unique words.
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