Question 1
Determine the largest possible value of $k$ such that $\frac{100-k}{k-1}$ is a positive integer.
Editorial note: For automatic assessment, assume k is an integer, as in the supplied key. The source omits this domain; see the solution for the unrestricted-real alternative.
Editorial note: For automatic assessment, assume k is an integer, as in the supplied key. The source omits this domain; see the solution for the unrestricted-real alternative.