Problem:
Suppose [a b] denotes the average of a and b, and {a b c} denotes the average of a,b, and c. What is {{1 1 0} [0 1] 0}?
Answer Choices:
A. 92​
B. 185​
C. 31​
D. 187​
E. 32​
Solution:
First note that {1 1 0}=32​ and [0 1]=21​. Therefore
{{1 1 0} [0 1] 0}={32​ 21​ 0}=332​+21​+0​=(D)187​​.
The problems on this page are the property of the MAA's American Mathematics Competitions