Daily puzzles/problems.

[kasie]

Thanks, Mark - have never heard of the man or the biopic but then, I don't get out much. (Have heard of Sean Penn.)

[billl]

Doh! Nah, it's cool.

It was dinner for one again, and so Mr. Singleton stopped by the market on the way home--he had to buy a small packet of flour for the evening's pizza. When he got home, he went right to the kitchen, poured the flour into a bowl, and whipped-up some dough. Soon, he was flipping that dough around and rolling it flat, eventually forming a typical (albeit smallish, 20 cm across...) circular pizza-shape, one cm thick.

It was then that he realized that he had forgotten to buy the sauce. Frustrated for just a moment, he checked that he had some butter and garlic in the fridge, and then went about shaping the dough into a long two-cm-thick sausage-shape. This long roll was then cut into 20 cm long sections to make bread sticks.

How many garlic-and-butter-covered bread sticks was he able to bake that night?

[prendrelemick]

A pizza is only a short fat bread stick after all so you would think that if you made it a tenth as thick (from 20 to 2) it would be ten times as long (from 1 to 10) But due to the inpenetratable mysteries of maths that doesn't work.

So.. The pizza and the bread stick are really just cylinders of the same volume.

pi x (rxr) x h =v

3.14x100x1=314 (the pizza)

3.14x1x100=314 (the bread stick)

so the bread stick cylinder is 100cm long (h) or 5 x 20 cm lenghs

[billl]

That is correct, sir! Once again, Mick makes short work of a circle puzzle.

[prendrelemick]

Here's one dredged up from memory.


An ill fitting locked door is the only way into the room. There is nothing in the room apart from a small table with the only key to the door on it.

How's that done then?

[MarkBastable]

Here's one dredged up from memory.


An ill fitting locked door is the only way into the room. There is nothing in the room apart from a small table with the only key to the door on it.

How's that done then?

How ill-fitting is it? Is it, like, so ill-fitting that the gap between the door and the jamb is big enough for a portly chap to wander through with the key in his hand? Or just so ill-fitting that he could get his arm through the gap to drop the key on the table? Or so ill-fitting that...well, you can see where I'm going.

'Ill-fitting' is a fuzzy and unqualified thing to tell us - but presumably it matters, otherwise you wouldn't have mentioned it. In order to take a shot at the problem, we need to know what it actually means.

[billl]

Perhaps the other key was destroyed (e.g. melted down) after someone used it to lock the the door, leaving the above-mentioned key in the room on the table.

[prendrelemick]

The ill fitting is significant. There is about half an inch gap at the top and underneath the door. There is and has always been only one key to the door.

[kasie]

Is the length of fine black thread dropped negligently on the floor outside the locked door of any consequence?

[billl]

Or the powerful electromagnet sitting on the table?

EDIT; I mean the electromagnet beyond the wall opposite the door, but it of course doesn't matter...

[prendrelemick]

It most certainly is Kasie (or is that Miss Marple?)

[MarkBastable]

.....well, go on then.

[prendrelemick]

Ok Kasie has probably got it. For the benefit of the others, close examination of the table would reveal a pin prick on its surface.

[MarkBastable]

It's an abseiling key?

[prendrelemick]

You could say that. Just the details to fill in.