Difference between revisions of "2007 Cyprus MO/Lyceum/Problems"
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== Problem 3 == | == Problem 3 == | ||
| − | A cyclist drives form town A to town B with velocity | + | A cyclist drives form town A to town B with velocity <math>40 \frac{km}{h}</math> and comes back with velocity <math> 60 \frac{km}{h}</math>. The mean valocity in <math>\frac{km}{h}</math> for the total distance is |
| − | A. 45 | + | A. <math>45</math> |
| − | B. 48 | + | B. <math>48</math> |
| − | C. 50 | + | C. <math>50</math> |
| − | D. 55 | + | D. <math>55</math> |
| − | E. 100 | + | E. <math>100</math> |
[[2007 Cyprus MO/Lyceum/Problem 3|Solution]] | [[2007 Cyprus MO/Lyceum/Problem 3|Solution]] | ||
Revision as of 12:12, 6 May 2007
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. 
