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In a certain code language, ‘pen pencil eraser’ is coded as ‘qp fq pw’, ‘pencil crayon box’ is coded as ‘bz er qp’ and ‘box pen board’ is coded as ‘er bq fg’. (All the codes are two-letter coded only.) What is the code for 'pencil' in that language?
bz
qp
fq
er
qp
Identify common words across code strings to isolate unique codes; 'pencil' appears in the first and second sentences, making 'qp' the common code.
Identify common words across code strings to isolate unique codes; 'pencil' appears in the first and second sentences, making 'qp' the common code.
Analyze Sentence 1 and 2
Sentence 1: pen pencil eraser = qp fq pw. Sentence 2: pencil crayon box = bz er qp. The common word between these two is 'pencil' and the common code is 'qp'.
Verification via Sentence 3
Sentence 3: box pen board = er bq fg. Comparing with the previous sets: 'box' appears in Sentence 2 and 3, and the code 'er' is common to both. This confirms 'pencil' must be 'qp' and 'box' is 'er'.
A: bz is incorrect as it represents 'crayon' (pencil=qp, box=er), C: fq is incorrect as it is part of the code for either 'pen' or 'eraser', D: er is incorrect as it represents the word 'box'.
B is correct because the common word 'pencil' between the first and second code strings corresponds to the unique common code 'qp'.
In multi-sentence coding questions, always look for the word that appears most frequently or in exactly the sentences required to isolate the variable, rather than translating every word.
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