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, 2016

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

The whole numbers from 1 to 2016 inclusive are written on a blackboard. Moritz underlines all the multiples of two in red, all the multiples of three in blue and all the multiples of four in green. How many numbers does Moritz underline exactly twice?

(A) $1008$ (B) $1004$ (C) $504$ (D) $336$ (E) $168$

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