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In a certain code language, ‘MATH’ is coded as ‘9153’ and ‘TEAM’ is coded as ‘3291’. What is the code for ‘H’ in that language?
9
1
5
3
5
Identify common letters in both words (MATH and TEAM) to isolate the code for each shared character.
Identify common letters in both words (MATH and TEAM) to isolate the code for each shared character.
Mapping the shared letters
Compare the codes: MATH = 9153 and TEAM = 3291. The common letters between MATH and TEAM are M, A, T. The common numbers between 9153 and 3291 are 9, 1, and 3.
Isolating the unique letter
Since M, A, and T account for 1, 3, and 9 (in some order), the letter H must correspond to the only remaining number in the code for MATH, which is 5.
A: 9 represents either M, A, or T; B: 1 represents either M, A, or T; D: 3 represents either M, A, or T.
C is correct because H is the only letter in MATH (9153) that is not present in TEAM (3291), and 5 is the only digit in 9153 not present in 3291.
In coding problems with common letters, use the Venn diagram logic: identify the intersection first, then eliminate commonalities to find the unique value.