Library / /121 of 175

, 2020

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

The mean of four positive integers is $5$ . The median of the four integers is $6$ . What is the mean of the largest and smallest of the integers?

(A) $3$ (B) $4$ (C) $5$ (D) $6$ (E) $8$

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.