2007 Cyprus MO/Lyceum/Problems
Contents
Problem 1
If ,then the value of the expression
is
A.
B.
C.
D.
E.
Problem 2
Given the formula , then
equals to
A.
B.
C. •
D.
E. •
Problem 3
A cyclist drives form town A to town B with velocity and comes back with velocity
. The mean valocity in
for the total distance is
A.
B.
C.
D.
E.
Problem 4
We define the operation ,
.
The value of is
A.
B.
C.
D.
E.
Problem 5
If the remainder of the division of with
is
, then the remainder of the division of
with
is
A.
B.
C.
D.
E.