## Task 1 - 120821

Axel, Bernd, Conrad, Dieter, Erwin, Frank, and Gerd are lined up in the gymnasium in order of height, with the tallest of them standing at the front. It is also known:

(1) Dieter stands in fourth place.

(2) Gerd stands immediately in front of Bernd and immediately behind Erwin.

(3) Axel stands immediately behind Frank.

(4) Gerd and Axel are twins, while the second tallest of the seven boys has no siblings.

Write down the names of the seven in the order in which they are lined up!
Erwin cannot stand in first place, because then, due to (4) and (2), Gerd would have to be the second largest.

Due to (1) and (2), Erwin also cannot stand in second, third, or fourth place. Since he cannot stand in sixth or seventh place due to (2), he stands in fifth place, and due to (2), Gerd is then sixth and Bernd seventh.

Places 1 to 3 can therefore only have been taken by Axel, Frank, and Conrad, and because of

(3) Frank can only stand in first or second place. If Frank stood in first place, Axel would have to be the second largest, which contradicts (4). Therefore, Frank stands in second, Axel in third, and thus Conrad in first place.

The order of the seven boys is therefore: Conrad, Frank, Axel, Dieter, Erwin, Gerd, Bernd.