Teams A, B, C, D and E participated in a relay. Before the competition, five fans expressed the following forecasts.
1) team E will take 1st place, team C – 2nd;
2) team A will take 2nd place, D – 4th;
3) C – 3rd place, E – 5th;
4) C – 1st place, D – 4th;
5) A – 2nd place, C – 3rd.
In each forecast, one part was confirmed, and the other was not. What place did each team take?
In the race of six athletes, Andrew lagged behind Brian and two more athletes. Victor finished after Dennis, but before George. Dennis beat Brian, but still came after Eustace. What place did each athlete take?
Three friends were at the prom dressed in white, red and blue dresses. Their shoes were of the same three colors. Only Sarah’s shoes and dress were of the same color. Laura was wearing white shoes. Neither the dress nor the shoes of Linda were red. Identify the colors of the dresses and of the shoes of the three friends.
Some girls are on a street. On the street, standing in a circle, four girls are talking: Janine, Mimi, Beatrix and Tash. A girl in a green dress (not Janine or Mimi) stands between a girl in a blue dress and Tash. A girl in a white dress is standing between a girl in a pink dress and Mimi. What dress is on each of the girls?
Replace the letters in the word \(TRANSPORTIROVKA\) by numbers (different letters correspond to different numbers, but the same letters correspond to identical numbers) so that the inequality \(T > R > A > N < P <O < R < T > I > R > O < V < K < A\).
Restore the numbers. Restore the digits in the following example by dividing as is shown in the image
Decipher the numerical puzzle system \[\left\{\begin{aligned} & MA \times MA = MIR \\ & AM \times AM = RIM \end{aligned}\right.\] (different letters correspond to different numbers, and identical letters correspond to the same numbers).
Fred always tells the truth, but George always lies. What question could you ask them so that they would give the same answer?
Woodchucks are sawing a log. They made 10 cuts. How many pieces were made?
A bagel is cut into sectors. Ten cuts were made. How many pieces did this make?