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CEMC Gauss (Grade 7), 2010

Number theory Difficulty 2.0 Junior Find the answer Canada

Molly assigns every letter of the alphabet a different whole number value. She finds the value of a word by multiplying the values of its letters together. For example, if D has a value of 10, and I has a value of 8, then the word DID has a value of $10 \times 8 \times 10 = 800$ . The table shows the value of some words: TOTE has value 18, TEAM has value 168, MOM has value 49, HOME has value 70. What is the value of the word MATH?

(A) $19$ (B) $840$ (C) $420$ (D) $190$ (E) $84$

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