In a certain code language, ‘LOTS’ is coded as ‘8439’ and ‘JOLS’ is coded as ‘4853’. What is the code for ‘J’ in the given code language?
5
LOTS is coded as 8439, so the letters L, O, T, S use the digits 8, 4, 3, 9 in some order.
JOLS is coded as 4853, so the letters J, O, L, S use the digits 4, 8, 5, 3 in some order.
The letters common to both words are O, L and S, and the digits common to both codes are 4, 8 and 3, so O, L and S take these three digits among themselves.
The digit left over in LOTS after removing 4, 8 and 3 is 9, which must be the code for T (the letter unique to LOTS).
Similarly, the digit left over in JOLS after removing 4, 8 and 3 is 5, which must be the code for J (the letter unique to JOLS).
Hence, the code for J is 5.
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