28-10-2002 03:15									#301
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That's an encyclopedia?

	28-10-2002 03:20									#302
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For some of the people in this forum, sure

	28-10-2002 03:26									#303
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quote: A bookworm eats from the first page of an encyclopedia to the last page. The bookworm eats in a straight line. The encyclopedia consists of ten 1000-page volumes and is sitting on a bookshelf in the usual order. Not counting covers, title pages, etc., how many pages does the bookworm eat? Including the first and the last page.

quote: Follow the yellow line, please

That isn't from the first page to the last.

	28-10-2002 03:28									#304
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It is the first and last page of the collection.

	28-10-2002 03:32									#305
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quote: Originally posted by Lemmy That isn't from the first page to the last.

Yes it is
Go check for your self in your bookshelves

I'm off to bed now, if anyone cares about my riddle, you can find the answer in "The Hobbit".

	28-10-2002 04:06									#306
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quote: Originally posted by Lemmy That isn't from the first page to the last.

It's from the first page of the leftmost book to the last page of the rightmost book, because the way that books are arranged on a bookshelf, the first page of a book is on the right, and the last page is on the left (check and see). But books are typically arranged from left to right: for example, an encylopedia's "A" volume would be farthest to the left and it's "Z" volume farthest to the right. So when books are placed in a bookshelf in this fashion, the pages in a book increase in the opposite of the direction in which the books are ordered. How foolish I feel for not realizing that!

I thought I must be missing something, because the problem seemed too easy. But I guess that it's one of those things most people don't think of, which is what makes it a good riddle. Still, even thinking that this was probably a trick problem, I couldn't figure it out...

	28-10-2002 05:14									#307
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Gollum! Gollum! The answer is dark, of course! I remembered the riddle!!

	28-10-2002 05:20									#308
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So, wheres your puzzle?

	28-10-2002 05:21									#309
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Here's an easy one

Ten people wrote down their names on one slip of paper each. Then everybody put the slip of paper with their name into a hat. Everyone then drew one of the ten pieces of paper from the hat. What is the probability that exactly 9 people recieved the peice of paper with their name on it?

	28-10-2002 05:30									#310
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0%

	28-10-2002 05:31									#311
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yep

	28-10-2002 05:35									#312
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I have some more good ones, so if someone doesn't want to post one, I'll post one.

	28-10-2002 05:46									#313
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OK its been ten minutes so I'll go ahead and post one. SD should still post something, though, so I have something to solve.

square root(x+sqrt(x+sqrt(x+sqrt...)))=2
find x

If someone could make a neater version it would be appreciated. I don't know how.

Hint: the answer is not messy.

	28-10-2002 05:54									#314
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i think i know, but, fearing having to post a brain teaser myself (of which i have none), i'll withold my answer

	28-10-2002 06:00									#315
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I'll post another one. Go ahead.

	28-10-2002 06:06									#316
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1?
EDIT: no...that's not it...

	28-10-2002 06:14									#317
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quote: Originally posted by Jaguar Warrior OK its been ten minutes so I'll go ahead and post one. SD should still post something, though, so I have something to solve. square root(x+sqrt(x+sqrt(x+sqrt...)))=2 find x If someone could make a neater version it would be appreciated. I don't know how. Hint: the answer is not messy.

2

	28-10-2002 06:16									#318
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Five suspects were rounded up in connection with a robbery. Their statements were as follows:

Alex: "Chris and Dave are lying."
Brad: "Alex and Eric are lying."
Chris: "Brad and Dave are lying."
Dave: "Chris and Eric are lying."
Eric: "Alex and Brad are lying."

Who is the only suspect you know with certainty to be lying?

	28-10-2002 06:18									#319
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Yep. Did you guess? Or did you square both sides and substitute?

	28-10-2002 06:22									#320
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quote: Originally posted by Jaguar Warrior Yep. Did you guess? Or did you square both sides and substitute?

Given that its an infinite series the figure inside each of the SQRT() must be equal to x. Therefore x = SQRT() = 2

	28-10-2002 06:28									#321
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More accurately..

square root(x+sqrt(x+sqrt(x+sqrt...)))= A

x = A * (A-1)
.. = 2 *1
.. = 2

	28-10-2002 11:57									#322
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quote: Originally posted by Ignorance r = rate of falling snow (unknown) ts = when snow has started falling (which we want) p = plows constant rate of removing snow (unknown) snow depth at time t: s = r*(t-ts) speed of plow: v = p/s which gives us v = p/(r*(t-ts))

v is not right. p should be in a unit like m³/s. Divide that by s, which should be in metres, gives a unit in m²/s, which isn't speed.

	28-10-2002 13:00									#323
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Alex is lying

	28-10-2002 13:51									#324
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If alex is telling the truth, then dave is lying. If dave is lying then chris must be telling the truth. However, alex already said that chris was lying. Therefore alex must be a certain LIAR!

	28-10-2002 14:04									#325
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Not necessarily. Just because Dave is lying doesn't mean Chris isn't lying.

	28-10-2002 19:32									#326
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quote: Originally posted by monolith94 If alex is telling the truth, then dave is lying. If dave is lying then chris must be telling the truth. However, alex already said that chris was lying. Therefore alex must be a certain LIAR!

Right answer, wrong reasoning.

	28-10-2002 19:49									#327
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quote: Originally posted by Sagacious Dolphin Five suspects were rounded up in connection with a robbery. Their statements were as follows: Alex: "Chris and Dave are lying." Brad: "Alex and Eric are lying." Chris: "Brad and Dave are lying." Dave: "Chris and Eric are lying." Eric: "Alex and Brad are lying." Who is the only suspect you know with certainty to be lying?

Alex is lying.

Let us assume he is telling the truth. Then Chris and Dave are lying.

Chris lying -> one of Brad or Dave must be telling the truth, but we have already said that Dave is lying, so Brad must be telling the truth.

But Brad claims Alex is lying!

Therfore we have a logical contradiction, so Alex must be lying.

	28-10-2002 19:54									#328
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quote: Originally posted by Sagacious Dolphin More accurately.. square root(x+sqrt(x+sqrt(x+sqrt...)))= A x = A * (A-1) .. = 2 *1 .. = 2

Incidentally I would have done this by writing

A= sqrt(x+sqrt(x+sqrt...))=sqrt(x+A)
So
A^2=x+A
x=A^2-A=4-2=2

	28-10-2002 19:57									#329
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I'll post another...easier one.

A hotel has 1,000 rooms numbered 1 to 1,000. Jack is looking after the hotel for the winter and is going slightly crazy. He decides to flick every roomlight switch in the hotel. He then decides to flick the switch in every other room (starting with room 2). He then flicks the switch in every third room (starting with room three). He then flicks the switch in every fourth room (starting in room 4).

If all lights were originally off, which lights remain on once Jack has finished switching every 1,000^th roomlight switch?

	28-10-2002 19:58									#330
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Oops you got it right whilst I was composing another. Well done.

Can you also proove that you can't determine if the others are lying?