CEMC Pascal, 2001

Number theory Difficulty 2.0 Junior Find the answer Canada

The least value of $x$ which makes $\dfrac{24}{x-4}$ an integer is

(A) $-44$ (B) $-28$ (C) $-20$ (D) $-8$ (E) $0$

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.