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