2006 Cyprus MO/Lyceum/Problems
Contents
- 1 Problem 1
- 2 Problem 2
- 3 Problem 3
- 4 Problem 4
- 5 Problem 5
- 6 Problem 6
- 7 Problem 7
- 8 Problem 8
- 9 Problem 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
- 26 Problem 26
- 27 Problem 27
- 28 Problem 28
- 29 Problem 29
- 30 Problem 30
- 31 See also
Problem 1
A diary industry, in a quantity of milk with $4%$ (Error compiling LaTeX. Unknown error_msg) fat adds a quantity of milk with $1%$ (Error compiling LaTeX. Unknown error_msg) fat and produces kg of milk with $2%$ (Error compiling LaTeX. Unknown error_msg) fat. The quantity of milk with $1%$ (Error compiling LaTeX. Unknown error_msg) fat, that was added is (in kg)
A.
B.
C.
D.
E.
Problem 2
The operation is defined by . The value of the expression is
A.
B.
C.
D.
E.
Problem 3
The domain of the function is
A.
B.
C.
D.
E.
Problem 4
Given the function , Which of the following is correct, about the graph of ?
A. intersects x-axis
B. touches y-axis
C. touches x-axis
D. has minimum point
E. has maximum point
Problem 5
If both integers are bigger than 1 and satisfy , then the minimum value of is
A.
B.
C.
D.
E.
Problem 6
The value of the expression is
A.
B.
C.
D.
E.
Problem 7
In the figure, is an equilateral triangle and , , . If , then the length of the side os the triangle ABC is
A.
B.
C.
D.
E.