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In a certain code language, 'TEACH' is coded as '18239', 'MAKE' is coded as '4168' and 'CHECK' is coded as '83943'. What is the code for 'T' in the given code language?
2
1
9
8
2
Look for the common letter in all given words. 'T' appears in 'TEACH', but it does not appear in 'MAKE' or 'CHECK'. Since '1' is the only digit common to all three given codes (18239, 4168, 83943), you can identify the unique digit mapping.
Look for the common letter in all given words. 'T' appears in 'TEACH', but it does not appear in 'MAKE' or 'CHECK'. Since '1' is the only digit common to all three given codes (18239, 4168, 83943), you can identify the unique digit mapping.
Analyze the given codes
TEACH = 18239, MAKE = 4168, CHECK = 83943. We need to isolate the code for T.
Check letter occurrence
The letter 'T' appears ONLY in the word 'TEACH'. It is absent from 'MAKE' and 'CHECK'.
Filter digits by occurrence
Look for the digit present in the code for 'TEACH' (18239) that is NOT present in the codes for 'MAKE' (4168) or 'CHECK' (83943). The digit '1' is the only one that appears in 18239 but is not present in 4168 or 83943.
B: 2 is part of 'TEACH' but doesn't uniquely identify 'T' via exclusion. C: 8 is present in 'TEACH', 'CHECK', and 'MAKE', making it impossible to be 'T'. D: 9 is present in 'TEACH' and 'CHECK', thus not unique to 'T'.
A is correct because by comparing the set of digits in 'TEACH' (1, 8, 2, 3, 9) against the digits in 'MAKE' (4, 1, 6, 8) and 'CHECK' (8, 3, 9, 4, 3), the digit '1' is the only digit exclusive to the word containing 'T'.
In coding-decoding questions with multiple words, always look for the word that has a unique letter first to narrow down the possible code digits quickly.
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