Maths Olympiad Prep

Library / CEMC Pascal /424 of 603

CEMC Pascal, 2005

Number theory Difficulty 2.0 Junior Find the answer Canada

When 14 is divided by 5, the remainder is 4. When 14 is divided by a positive integer nn, the remainder is 2. For how many different values of nn is this possible?

(A) 11 (B) 22 (C) 33 (D) 44 (E) 55

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.