[WOLF] Quiz Time!

Day 2,161, 12:04 Published in Pakistan Colombia by WOLF HQ




Greetings One & All!

Today we are starting some quizzes to make your brain work a little. With that purpose we prepared some questions and enigma for you to solve. But before the headache, are listed some very interesting wolf facts.



Wolf Facts

1) The earliest drawings of wolves are in caves in southern Europe and date from 20,000 B.C!



2) A wolf pup’s eyes are blue at birth. Their eyes turn yellow by the time they are eight months old.



3) The Vikings wore wolf skins and drank wolf blood to take on the wolf’s spirit in battle. They also viewed real wolves as battle companions!







Easy

Does there exist a 10-digit number with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 in some order so that no matter which 6 digits you delete from it, the remaining 4 digit number is always composite (it has at least one other divisor besides 1 and itself)?



Medium

An equilateral triangle (a triangle with equal sides) is given. Its side is n, and then we divide it into n^2 small triangles with the side 1. Its sides are parallel to the big triangle’s sides. It looks something like this:



How many parallelograms where one sides is 1 and the other is 2 can you put into the big triangle (the parallelograms must be composed of these small triangles)?



Hard

There is a planet that has the shape of either a perfect cube or a perfect sphere. A spaceship is moving on its surface from point A to point B, where A and B are opposite points. We know how the exact path between A and B looks. Does a path exist so that we can't know if the planet is a cube or a sphere even if we do know the entire path?




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We work as a pack, we fight as a pack, we stand as a pack. The WOLF Pack of eRepublik