Spontaneous Mysteries!

The ClubHouse: The Game II - Mysterious Puzzler: Discussions/Challenges: Spontaneous Mysteries!
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Archive through January 28, 2001 25   01/29 03:54am

Juju2bigdog

Sunday, January 28, 2001 - 02:40 pm Click here to edit this post

Yep, stumped.

Ocean_Islands

Sunday, January 28, 2001 - 03:46 pm Click here to edit this post

Are you sure? I think we need to hear from you again Ju"!

Elitist

Sunday, January 28, 2001 - 04:50 pm Click here to edit this post

#4 You should get a job as a lighthouse keeper, get up in the middle of the night for a drink of water, turn off the light, then in the morning look out the window and kill yourself

Azriel

Sunday, January 28, 2001 - 04:55 pm Click here to edit this post

LOL!

Ocean_Islands

Sunday, January 28, 2001 - 05:45 pm Click here to edit this post

Ok you Doofi

Since you all missed S.M. #4, here's S.M. #5:

An Arab sheikh tells his two sons to race their camels to a distant city to see who will inherit his fortune. The one whose camel is slower will win. The brothers, after wandering aimlessly for days, ask a wise man for advise. After hearing the advice they jump on the camels and race as fast as they can to the city. What does the wise man say?

Spamgirl

Sunday, January 28, 2001 - 05:54 pm Click here to edit this post

Switch camels

Ocean_Islands

Sunday, January 28, 2001 - 08:21 pm Click here to edit this post

What do you have the answer book?

SM#6

Sally and Sue have a strong desire to date Sam. They all live on the same street yet neither Sally or Sue know where Sam lives. The houses on this street are numbered 1 to 99. Sally asks Sam "Is your house number a perfect square?". He answers.

Then Sally asks "Is is greater than 50?". He answers again. Sally thinks she now knows the address of Sam's house and decides to visit.

When she gets there, she finds out she is wrong. This is not surprising, considering Sam answered only the second question truthfully. Sue, unaware of Sally's conversation, asks Sam two questions. Sue asks "Is your house number a perfect cube?". He answers.

She then asks "Is it greater than 25?". He answers again. Sue thinks she knows where Sam lives and decides to pay him a visit. She too is mistaken as Sam once again answered only the second question truthfully.

If I tell you that Sam's number is less than Sue's or Sally's, and that the sum of their numbers is a perfect square multiplied by two, you should be able to figure out where all three of them live.

Ocean_Islands

Sunday, January 28, 2001 - 08:22 pm Click here to edit this post

S.M.#4 is still unanswered, by the way.

Spamgirl

Sunday, January 28, 2001 - 08:38 pm Click here to edit this post

because she says that she has enough info, sam obviously told sally yes to both questions... there are only 2 numbers that could fit (64,81)... also because she says she has enough info, obviously she lives at one of those numbers

sam lying about the first and not the second question means that sam's house is not a perfect square

because he lied about the first question, he also must have told sue that it was a perfect cube

because she says that she has enough info, sam obviously told sue yes to both questions (yes to the second because his house number IS above 50, therefore he told the truth on both second questions)... there are only 2 numbers that could fit (27,64)... also because she says she has enough info, obviously she lives at one of those numbers

because sue lives in a greater number, hers is 64... and sally's must be 81

(add some awkward math here)

sam lives at number 55

Ocean_Islands

Monday, January 29, 2001 - 03:54 am Click here to edit this post

Sally asks Sam "Is your house number a perfect square?". He answers. Then Sally asks "Is is greater than 50?". He answers again.
Sally thinks she now knows the address of Sam's house and decides to visit.

Since Sally thinks that she has enough information, I deduce that Sam answered that his house number was a perfect square greater than 50. There are two of these {64,81} and Sally must live in one of them in order to have decided she knew where Sam lives.

When she gets there, she finds out she is wrong. This is not surprising, considering Sam answered only the second question truthfully.

So Sam's house number is greater than 50, but not a perfect square.

Sue, unaware of Sally's conversation, asks Sam two questions. Sue asks "Is your house number a perfect cube?". He answers. She then asks "Is it greater than 25?". He answers again.

Observation: perfect cubes greater than 25 are {27, 64}, less than 25 are {1,8}.

Sue thinks she knows where Sam lives and decides to pay him a visit. She too is mistaken as Sam once again answered only the second question truthfully.

Since Sam's house number is greater than 50, he told Sue that it was greater than 25 as well. Since Sue thought she knew which house was his, she must live in either of {27,64}.

If I tell you that Sam's number is less than Sue's or Sally's,

Since Sam's number is greater than 50, and Sue's is even bigger, she must live in 64. Assuming Sue and Sally are not roommates (although awkward social situations of this kind are not without precedent), Sally lives in 81.
and that the sum of their numbers is a perfect square multiplied by two, you should be able to figure out where all three of them live.

Sue + Sally + Sam = 2 p^2
for p an integer
64 + 81 + Sam = 2 p^2

Applying the constraint 50 < Sam < 64, looks like Sam = 55 (p = 10).

In summary,

Sam = 55
Sue = 64
Sally = 81

Ocean_Islands

Monday, January 29, 2001 - 03:57 am Click here to edit this post

S.M.#4 is still unanswered.

SM#7
Name ten body parts that are spelled with three letters. No slang words.

Azriel

Monday, January 29, 2001 - 05:17 am Click here to edit this post

toe toe toe toe toe toe toe toe toe toe :) ~giggle~

Juju2bigdog

Monday, January 29, 2001 - 05:59 am Click here to edit this post

Awesome, once more, spam.

leg, lip, arm, eye, ear, hip, rib, gum, jaw

and toe

Ocean_Islands

Monday, January 29, 2001 - 04:07 pm Click here to edit this post

congratulations Juju!

Ocean_Islands

Tuesday, January 30, 2001 - 04:00 am Click here to edit this post

I rename this thread the "Stump Spamgirl" thread.

Succeeded with #4.