Maths Olympiad Prep

Library / UKMT Junior Mathematical Challenge /21 of 274

UKMT Junior Mathematical Challenge, 2024

Number theory Difficulty 1.0 Junior Find the answer United Kingdom

Which of the following has the same remainder when divided by 3 as it does when divided by 4?

(A) 77 (B) 1111 (C) 1717 (D) 1919 (E) 2525

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: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.