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Difference between revisions of "2007 Cyprus MO/Lyceum/Problems"

(→‎Problem 3)
(→‎Problem 3)
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== Problem 3 ==
 
== Problem 3 ==
−
A cyclist drives form town A to town B with velocity 40 <math>^{km} / _h</math> and comes back with velocity 60 <math>^{km} / _h</math>. The mean valocity in <math>^{km} / _h</math> for the total distance is
+
A cyclist drives form town A to town B with velocity 40<math>\frac{km}{h}</math> and comes back with velocity 60<math>\frac{km}{h}</math>. The mean valocity in <math>\frac{km}{h}</math> for the total distance is
  
 
A. 45
 
A. 45

Revision as of 12:02, 6 May 2007

Problem 1

If $x-y=1$,then the value of the expression $K=x^2+x-2xy+y^2-y$ is

A. $2$

B. $-2$

C. $1$

D. $-1$

E. $0$

Solution

Problem 2

Given the formula $f(x) = 4^x$, then $f(x+1)-f(x)$ equals to

A. $4$

B. $4^x$

C. $2$•$4^x$

D. $4^{x+1}$

E. $3$•$4^x$

Solution

Problem 3

A cyclist drives form town A to town B with velocity 40$\frac{km}{h}$ and comes back with velocity 60$\frac{km}{h}$. The mean valocity in $\frac{km}{h}$ for the total distance is

A. 45

B. 48

C. 50

D. 55

E. 100

Solution

Problem 4

Solution

Problem 5

Solution

Problem 6

Solution

Problem 7

Solution

Problem 8

Solution

Problem 9

Solution

Problem 10

Solution

Problem 11

Solution

Problem 12

Solution

Problem 13

Solution

Problem 14

Solution

Problem 15

Solution

See also

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