Discussion
In a certain code language, '694' means 'pen and pencil', '981' means 'rubber and marker', '3415' means 'pen is like marker'. What is the code for 'pencil' in that language?
Answer: B
The code for pencil is 6.
'694' means pen, and, pencil and '3415' means pen, is, like, marker. The only common digit is 4, and the only common word is pen, so pen is 4. In '981' (rubber and marker) and '694' the common digit 9 matches the common word 'and'. So in '694', 9 is 'and', 4 is pen and the last digit 6 must be pencil.
4 is pen, 9 is 'and' and 1 belongs to rubber, marker or 'like' words, so those are not pencil.
Compare the codes in pairs. '694' and '981' share 9 and the word 'and' is common to both meanings, so 9 is 'and'. '694' and '3415' share 4 and the word 'pen', so 4 is pen. Only 6 is left in '694' and only 'pencil' is left in the meaning, so pencil is 6.
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