There are books on the table that need to be packed. If they are bundled into equal packs of 4, 5, or 6 books, there will always be one extra book left each time, but if they are bundled into packs of 7 books, there will be no extra books left. What is the smallest number of books that can be on the table?

#
Let there be $n$ books. Then $n-1$ is divisible by $60 = \text{GCD}(4, 5, 6)$, and $n$ is divisible by 7. By checking numbers of the form $60k + 1$, we find that the smallest of them that is divisible by 7 is 301.

## Answer

301 books.