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In a certain code language, ‘TYRE’ is coded as ‘8526’ and ‘BYTE’ is coded as ‘5986’. What is the code for ‘B’ in that language?
9
2
6
8
9
Identify common letters in both words and their corresponding positions in the codes to isolate the value of the unique letter.
Identify common letters in both words and their corresponding positions in the codes to isolate the value of the unique letter.
Mapping the letters
Word TYRE is coded as 8526, so T=8, Y=5, R=2, E=6. Word BYTE is coded as 5986, so B=5(?), Y=9(?), T=8, E=6.
Resolving contradictions
Re-evaluating: T=8, Y=5, R=2, E=6 (TYRE: 8526). Comparing to BYTE: 5986. Here, T=8 and E=6 are common to both words and codes. In BYTE, Y and E and T are present. Wait, checking mapping: B-Y-T-E = 5-9-8-6. T=8, E=6 are common. Thus, B must be the digit that is unique to BYTE, which is 9.
B: 2 represents R from TYRE, C: 6 represents E in both words, D: 8 represents T in both words.
A is correct because B is the letter unique to the word BYTE, which maps to the digit 9 when compared against the shared codes for T, Y, and E.
In coding-decoding questions, always write the code directly below the word to compare column by column; it significantly reduces error during high-pressure exams.
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