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 ![$K = \left[\left(1+\sqrt{3}\right) * 2\right]*\sqrt{2}$](http://latex.artofproblemsolving.com/4/a/d/4ad89b5e6fb9ed359ec2e294fa68cbb5c4f416c4.png)
is
A. 
B. 
C. 
D. 
E. 
Problem 3
The domain of the function 
is
A. 
B. 
C. 
D. ![$[-2,0]$](http://latex.artofproblemsolving.com/5/5/a/55a2deada78acc1831c348210e10b1e6a6ede5a9.png)
E. 
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
