Radio Astronomy Systems Research Group

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====== Perimeters ======

Find the perimeter of both figures:

{{:wiki:donuts:perimeters.jpg?200|}}

[[wiki:donuts:fall2016:perimeter|answer]]


====== Switching sides ======

O O O _ X X X

Put all the O's on the left side and all the X's on the right side. Only move one at a time and each character can only move forward.

[[wiki:donuts:fall2016:switchingsides|answer]]


====== 3 ton trucks ======

A person is moving and their stuff weighs 10 tons. The trucks being used to move can carry a max weight of 3 tons. Each of the boxes being used can hold a max weight of 1 ton. How many trucks should the person use to move __without reaching maximum weight on each truck__?

[[wiki:donuts:fall2016:3tontrucks|answer]]


====== Match sticks ======

Move 3 matchsticks around from the figure below to form 3 equal squares. You can't break the match sticks or overlap them.
   ___ ___ 
  |   |   |
   ___ ___ 
  |   |   |
   ___ ___ 
   
[[wiki:donuts:fall2016:matchsticks|answer]]


====== Tires ======

A truck has 6 tires. 2 in the front which can move a max distance of 15000 miles and 4 in the back which can move a max distance of 25000 miles. What is the maximum distance that the truck can travel if you are allowed to change the position of pairs of tires? 
   
[[wiki:donuts:fall2016:tires|answer]]

====== Trapezoid ======

The figure below represents two equal squares placed side by side. The second square has been cut in half diagonally: The puzzle is to cut the figure into four identical pieces (the pieces may be flipped over).

{{:wiki:donuts:trapezoid.jpg?200|}}
   
[[wiki:donuts:fall2016:trapezoid|answer]]

====== 22 prisoners ======

The are 23 prisoners and a guard gives them a task to accomplish in order for them to go free. Each prisoner is told to enter a room with two switches and has to turn one of them on or off. The guard takes the prisoners to the room randomly and they are supposed to tell him when all of them have entered the room at least once. What is the best strategy for them to assure that they have all entered the room?
   
[[wiki:donuts:fall2016:22prisoners|answer]]

====== Instruments ======

There are 4 musicians that play 4 different instruments. A man takes each of there instruments and places them in a box labeled with there instruments name. He then randomly switches instruments in the boxes (Remember that the boxes are labeled and keep the originals labels). He then asks them to find there instrument and each musician can only open two boxes. They are also only allowed to talk to each other about a strategy prior to the first musician checking the boxes. What is the best strategy for them to get their instruments with the least amount of chance?
   
[[wiki:donuts:fall2016:instruments|answer]]

====== Trees ======

A farmer gets home and his daughter asks him what he did that day, and he replies, "I planted 4 trees per row of 5 rows." The daughter replies, "So you planted 20 trees." And the farmer replies, "No, but you should know how many I planted from the homework that you did yesterday with a star on it." How many tree did the farmer plant?
   
[[wiki:donuts:fall2016:trees|answer]]


*Be sure to update the "Question Asked" table!
**/

===== Questions Asked =====
| Junming Diao | 2 |
| Mark Ruzindana | 2 |
| Dr. Jeffs | 2 |
| Richard Black | 2 |
| Dr. Warnick  | 1 |
| Mitchell Burnett | 2 |
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