Radio Astronomy Systems Research Group

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===== Pair-wise Sums =====
Choose five number that, when added in pairs, will sum to each of the values 0 1 2 4 7 8 9 10 11 12. ((Johnathan Spencer, Sept. 4, 2013))

[[wiki:donuts:pair-wise-sums|answer]]

===== 6 Day Trip =====
A man must visit his grandma. It will take him six days to make the trip. A person can only carry four days worth of food. How will he survive? ((Jay Brady, Sept. 10, 2013))

Rules:
The man must arrive at his grandma's home.
There is no food between his house and his grandma's.
He can bring other people with him, but no one is allowed to die.
If other people come with him, they do not have to arrive at the grandma's home.
Since no one is allowed to die, at the end of the trip everyone must either be at their own home, or at the grandma's home.

[[wiki:donuts:6daytrip|answer]]

===== 3 Man Duel =====
Three men take part in a dual. The shooting order is predetermined: Jack shoots first, followed by Jerry, then John. If there are still men alive after one round of shooting, they continue to shoot in this order until only one man is left alive.

Jack is a poor shot, and only has a 1/3 chance of hitting his target.
Jerry is better; he has a 2/3 chance of hitting his target.
John is the best and has a 100% chance of hitting his target.

As Jack pulls out his pistol, he is unsure of who he should shoot at first. Where should he shoot to give himself the best chance of survival? ((Richard Black, Sept. 18, 2013))

[[wiki:donuts:3-man-duel|answer]]

===== Right Hand ======

What can you hold in your left hand that you cannot hold in your right hand? ((Dr. Warnick, Sept. 25, 2013))

[[wiki:donuts:righthand|answer]]

===== Spot the Differences ======

{{:donutquestions:spot_the_diff.jpg?200}} ((Junming Diao, Oct. 10, 2013))

[[wiki:donuts:diff|answer]]

===== What is it? ======

The maker doesn't need it, the owner doesn't want it, and the user doesn't know he is using it. What is it? ((Dr. Warnick, Oct 16, 2013))

[[wiki:donuts:whatisit|answer]]

===== Cube ======

A solid white cube is painted black. The cube is then cut into 125 equally sized smaller cubes. How many of these smaller cubes have black paint on at least 2 surfaces? ((Richard Black, Oct 23, 2013))

[[wiki:donuts:cube|answer]]


===== Wheel =====
A car is running on flat ground. The radius of its wheel is equal to R. The angular velocity of the wheel is equal to w. Presuming there is no slip between the wheel and the ground, which answer(s) below are correct? ((Junming Diao, Oct 20, 2013))

a) The velocity of the wheel at the point of contact with the ground is equal to wR. \\
b) The wheel's axle has a velocity of wR. \\
c) The velocity of the upper edge of the wheel is wR. \\
d) The velocity of the upper edge of the wheel is 2wR.

[[wiki:donuts:wheel|answer]]

===== Toothpicks ======

  _|_|_
  _|_|_
   | |

Start with 12 toothpick arranged as above. Moving only 3, can you form 3 squares? ((Richard Black, Nov 6, 2013))

[[wiki:donuts:toothpicks|answer]]

===== Alphabetical Number ======

What is the first integer that, when written, has it's letters in alphabetical order? ((Jay Brady, Nov. 13, 2013))

[[wiki:donuts:alphabetical|answer]]

===== Riddle ======

I have and end but no beginning
A home but no family
A space without room
I never speak, but there is no word I cannot make.

What am I? ((Richard Black, Nov. 25, 2013))

[[wiki:donuts:Riddle |answer]]

===== Share the Donut =====

How can you cut a single (giant) donut to share it with 9 people using only 3 cuts? ((Josh Sypherd, Dec. 4, 2013))

[[wiki:donuts:sharethedonut|answer]]

===== 3 Lights =====

There are 3 light switches outside a room. In the room are three light bulbs. Each switch goes to a single bulb. How can you tell which switch goes to which bulb if you are only allowed to enter the room one time? ((Junming Diao, Dec. 11, 2013))

[[wiki:donuts:3lights|answer]]

===== Candles =====
Two candles are the same height. One burns fully in 6 hours, the other in 3 hours. How long will it take for one of them to be half the length of the other? ((Dr. Warnick, Dec. 17 2013))

[[wiki:donuts:candeles|answer]]

===== Questions Asked =====
|Johnathan Spencer | 1 |
|Josh Sypherd      | 1 |
|Jay Brady         | 2 |
|Junming Diao      | 3 |
|Dr. Warnick       | 3 |
|Richard Black     | 4 |
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