Teaser Tuesday! March 11, 2014

Last one seemed like it was tricky until @peyo212 fully dominated it. Hopefully these will pose a greater challenge to everyone!

Note: If you could all please input your answers using the previously noted html code it will allow others to answer without having a spoiler. Also, in your answer, do not include any ' or " or it will not work properly.

Question 1

There is a circular jail with 100 cells numbered 1-100. Each cell has an inmate and the door is locked. One night the jailor gets drunk and starts running around the jail in circles. In his first round he opens each door. In his second round he visits every 2nd door (2,4,6---) and shuts the door. In the 3rd round he visits every 3rd door (3,6,9---) and if the door is shut he opens it, if it is open he shuts it. This continues for 100 rounds (i.e. 4,8,12 ---; 5,10,15 ---; ---; 49,98 etc.) and exhausted the jailor falls down. How many prisoners found their doors open after 100 rounds?

Note: Try to stay away from Excel.

Question 2

Make a new square from the picture:

Photo

Image attached for easy printing.

Enjoy!

4 Comments
 

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