I got an April Fool's Day set of math problems and I need insight. Here are the problems:

1. A clock strikes six times in five seconds. How many times will it strike 10 seconds? Justify your answer.

2. Let $\displaystyle \gamma$ be a closed non-intersecting curve all of whose points are 1 inch from a given point. Is it possible that $\displaystyle \gamma$ is longer than 1 mile? Justify your answer.

3. Let $\displaystyle \triangle ABC$ be a triangle all of whose sides are shorter than 1 inch. Can the circle which passes through $\displaystyle A$, $\displaystyle B$, and $\displaystyle C$ have circumference which is larger than 1 mile? Justify your answer.

My thoughts:

1. Obvious answer would be 12 but I'm not sure what it's even asking.

2. I can't think of a way this would be even possible.

3. I think the thickness of the circle could make it possible. Make it thick enough to pass through all three sides.