Posts from Paradox or Riddle. Brain-training exercises.

This is a well-known rule about the divisibility of numbers by 3 and 9, and it is frequently used in school.

How much time did you spend on this one?

I don't remember. It was a long time ago.

CyberForm, personally for you.
In a pot filled to the brim with water, a perforated steel mug floats with a steel bolt inside. Will some of the water spill out of the pot when the mug sinks?
ZFTSh, 8th grade, autumn 2011.

CyberForm, personally for you.
In a pot filled to the brim with water, a perforated steel mug floats with a steel bolt inside. Will some of the water spill out of the pot when the mug sinks?
ZFTSh, 8th grade, autumn 2011.

Trolling? Although my questions might annoy you as well...

No, just testing. Well, since you know the answer to that question, how about we try some proper riddles? There are plenty of those.

But how does it float? It's already submerged, but hasn't reached the bottom or anything? It will spill out if it's still floating on the surface!

Floats = possesses buoyancy. For example, it is sealed with a cork. Or with the same bolt that was initially lying incorrectly. Sinks = has lost buoyancy and is completely submerged in water.

"Floating" means it hasn't sunk yet, which is strange. It will sink eventually and expel the water, even if there's just a little bit of it inside.

Verification failed.

What will happen?

I don't know if it will "float," physics is silent on that, but it's clear that nothing will spill. Naturally, assuming we don't throw this cup with force, causing waves to splash in all directions. The trick is that the cup, together with the bolt, cannot occupy a larger volume in the water than the volume it initially displaced, unless their average density is lower than that of water. But in this case, they wouldn't sink at all, and according to the problem, they did sink.

It’s a rather subjective task.

What do you mean? And honestly, I don't understand why you talked me into finding a solution, Vis. It wasn't meant for you. You already know everything.

But I didn't know! I'll show you now.

There's a mug and a pot.
But it's unclear what position the mug is in; it's not clear how it's "floating" there.

How is it floating and not sinking? Something must be holding it up. Maybe it's in state "1," or maybe "2" or "3." Or am I missing something?