Answer. 2.

Solution. The first string receives the strikes $1,11,21,31, \ldots, 2001$. Therefore, the 2000-th strike will fall on the 2-nd string.

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# 1. Option 1.

Vasya strikes the strings of a 6-string guitar from 1 to 6 and back. Each subsequent strike hits the adjacent string. On which string number will the 2000th strike fall? (The order of striking the strings: $1-2-3-4-5-6-5-4-3-2-1-2-\ldots$)