Radio Astronomy Systems Research Group

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. ¹⁾

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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? ²⁾

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.

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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? ³⁾

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What can you hold in your left hand that you cannot hold in your right hand? ⁴⁾

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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? ⁶⁾

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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? ⁷⁾

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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? ⁸⁾

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.

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Start with 12 toothpick arranged as above. Moving only 3, can you form 3 squares? ⁹⁾

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