A crane with a 200 ft long boon and a 50 ft long rear boon has a lifting capacity of 10000 pounds. What amount of weight should it have on the rear boon? (Hint: Think of the minmax)

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You are a secret agent trying to stop a villain from enacting his evil plan to destroy the world. You are given some in.tel that there is a kill switch in a room located in a pyramid with 10 floors numbered 1 through 10 from top to bottom (top being 1 and 10 being bottom). You receive some additional in.tel that the room with the kill switch is located on a floor where each room is connected to three other rooms except for one which is connected to one other room. If you know that each floor number corresponds to the number of rooms on that floor then what is the highest floor that the kill switch can be located?

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Old man Mr. Jones is on his death bed while his very young wife is about to have their first child. He has his lawyer make him a new will and testament to include this new child, and right after he signs it he passes. The will states that if the child is a boy, then 2/3 of his wealth will go to the boy and 1/3 to his wife. If it's a girl then 1/3 will go to the girl and 2/3 to his wife. His wife has twins, a girl and a boy. How should the lawyer split the money between the children and wife to best honor Mr. Jones' wishes?

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A truck driver has to transport a bunch of sedated pigs across a bridge that is 4 miles long. The maximum weight that can move across the bridge is 20 tons. Anything more than that will cause the bridge to collapse. The truck is weighed and is exactly 20 tons so the truck driver decides to drive across. At the halfway point a sparrow flies alongside the truck and is going to land on it. What should the truck driver do to stop the bridge from collapsing?

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Use 4 instances of the number 4 (4 4 4 4) to give numbers 0 to 10. You can use any operation except those with an extra number in them such as square root or cube root.

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