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In a certain code, ‘red blue green’ is coded as ‘dy ph mt’, ‘blue violet black’ is coded as ‘lp ph st’ and ‘black red white’ is coded as ‘st bq dy’. All the codes are two-letter codes only. What is white coded as?
dy
bq
ph
st
bq
Identify common words between sentences and their corresponding codes to isolate the unique code for 'white'.
Identify common words between sentences and their corresponding codes to isolate the unique code for 'white'.
Analyze Commonality
Compare the sets of codes. 'blue' is present in (1) and (2). The common code for these is 'ph'. Therefore, blue = ph.
Identify Further Matches
Compare (2) and (3): 'black' is common. The common code is 'st'. Therefore, black = st. Compare (1) and (3): 'red' is common. The common code is 'dy'. Therefore, red = dy.
Solve for White
In sentence (3) 'black red white' = 'st bq dy', we now know black = st and red = dy. The remaining word 'white' must correspond to the remaining code 'bq'.
A: 'dy' corresponds to red. C: 'ph' corresponds to blue. D: 'st' corresponds to black.
B is correct because by isolating the known codes for 'black' (st) and 'red' (dy) from the sentence 'black red white' (st bq dy), we are left with 'white' = 'bq'.
Always start by identifying the words present in at least two different sentences to eliminate variables quickly before looking for the unique term.
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