Library / CEMC Gauss (Grade 8) /359 of 525

CEMC Gauss (Grade 8), 2003

Number theory Difficulty 2.0 Junior Find the answer Canada

The sum of four consecutive whole numbers is a multiple of 5. Which of the following statements about these four numbers is always true?

(A) The sum of the numbers ends in a 5. (B) The largest number ends in a 9. (C) The smallest number is odd. (D) None of the numbers are multiples of 5. (E) One of the numbers ends in a 3.

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.