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Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Each letter in the eight-digit integer ' $BENJAMIN$ ' represents one of the digits $1, 2, 3, 4, 5, 6$ or $7$ . Different letters represent different digits. The integer ' $BENJAMIN$ ' is odd and divisible by $3$ . Which digit is represented by $N$ ?

(A) $1$ (B) $3$ (C) $4$ (D) $5$ (E) $7$

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