2017 UNM-PNM Statewide High School Mathematics Contest II Problems
UNM - PNM STATEWIDE MATHEMATICS CONTEST XLIX. February 4, 2017. Second Round. Three Hours
Contents
Problem 1
What are the last two digits of ?
Problem 2
Suppose , and all denote distinct digits from to . If , what are , and ?
Problem 3
Let $f(x) =\frac{x}{ x−1}$ (Error compiling LaTeX. Unknown error_msg) and $g(x) =\frac{x}{3x−1}$ (Error compiling LaTeX. Unknown error_msg).
(a) Determine and .
(b) Denote . Determine all the functions in the set or for some a whole number.