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bonanova

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Posts posted by bonanova

  1. Simple answer: If one person visits Garra, the population increases, by one. Obviously, that's not what you're asking.

    If I understand the curse, if there were 40 males alive when a boy child was born, one of the 41 males would immediately be struck down by the curse.

    Second answer: By the amended rules [selective male birth rate], likely there will be exactly 40 males alive at any time.

    If Garra was then visited, say by a family of 4 [mom dad sis bro], two males would be immediately struck down.

    If those males included dad and/or bro, quite likely the remaining family members would decide against staying, and eventually leave.

    That would decrease the population by one [either] or two [both].

    So depending on whether decrease in the question means immediately or eventually, one of these answers might apply.

  2. This blonde had a boyfriend who insisted on embarrassing her in front of their friends.

    You have to stop telling those stupid, blonde jokes, Phil, she finally said. They're

    insulting, sexist, ridiculous, childish, boring and in just really bad taste! Besides,

    you're wrong about me. I may be blonde, but I am NOT DUMB. I'm reasonably

    smart, fairly current on things, well informed and it's just not appropriate for you

    to make fun of me. In fact I'm sick and tired of it, and I don't want to hear any

    more asinine blonde jokes, especially when we're with our friends, ever again,

    not one more time! DO YOU UNDERSTAND?

    She thought about what she'd told him, that night, and cast about for a way to

    prove to Phil her intellectual strengths. What can I learn that will impress him?

    she thought. It can't be TOO difficult, but if I could think of something that not

    just everyone knows. That would surely put a stop the all those insulting jokes.

    I know, she thought, I'll memorize the Capitals of all 50 States. I bet there's not

    many people who know all 50 of them.

    The next afternoon she brought home an armload of reference books from the

    Library, and after dinner she sat at the table and began to pore over them. Ten

    O'clock passed, midnight, two o'clock in the morning. Finally, at 2:30 am she

    had done it; she had memorized the capitals of all 50 states.

    As fate would have it, the next evening she and Phil were partying with their friends.

    Phil, who obviously had not taken her objections seriously, rattled off a stupid

    blonde joke first chance he got. The blonde was furious. She screamed at him,

    much to the interest of the friends. Stop it! she said, I told you, no more of those

    insulting, inapproprate jokes! I told you that I'm blonde, but I'm not stupid. I'm

    smart! I'm SO smart, in fact, that I happen to know the capitals of all 50 states,

    and what's more, I can PROVE it!

    All 50 states? he asked. Wow, that's impressive, I guess I misjudged you. I am

    truly sorry. OK. Great. Well, let's see, then. Ah, here's one. What's the capital

    of, oh, say ... Wyoming?

    The blonde rolled her eyes. C'mon, give me a challenge, will ya? she said. That

    one is so easy! It's ..... W!

  3. This brunette drives to the emergency room and asks for help.

    I hurt, everywhere! she told the doctor. I'm afraid I'll need

    something more specific, he said. Well, I hurt here, as she

    touched her knee; and here, as she touched her ankle; and

    here and here and here ... as she touched, in turn, her wrist,

    her stomach, her nose, her neck, and her backside.

    Dumbstruck, the doctor ordered a CAT scan, an MRI and he

    called his neurologist colleague in to consult. After a couple

    hours, he returned.

    You're not really a brunette, are you? he asked.

    No, I'm not, she confessed. How did you know?

    Your finger is broken.

  4. I've got a sweet little dice game for ya, boys, and I'll even help

    you figure your chances. I know how you hate doing that.

    When Alex offers to help, people generally walk the other way.

    But this is Morty's, and none of the blokes there wants to be

    thought of as timid. So they sauntered over to Alex's table,

    where he had laid a sheet of paper, with the numbers 1-6

    written, each in its little box:

    +---+---+---+

    | 1 | 2 | 3 |

    +---+---+---+

    | 4 | 5 | 6 |

    +---+---+---+

    Now here's the game, my laddies...

    You lay your bet on one of those numbers. Then you roll these three

    dice here. If your number shows up, you get double your bet returned.

    What do you say?

    Davey and Ian weren't sure. Jamie, after thinking a bit, asked

    what if my number comes up twice? Shouldn't I get something

    extra for that?

    You're astute beyond your years, said Alex. Here, and I promised

    to help figure the game out. So, let's go through it, OK? Suppose

    you bet all six numbers. If no number comes up twice, then you'd

    double your money on three of your bets, and you'd lose your

    money on the other three. So that way, it's an even game.

    So what you're asking for is a little something extra if the dice

    aren't all different. Well you caught me in a good mood tonight,

    and here's what I'll do. You bet your number, and roll the dice.

    If your number comes up once, you win double, just like before.

    But now, if it comes up twice, I'll make it triple, and if it shows up

    on all three dice, I'll give ya four times your bet. How's that?

    Jamie thought a moment, and he was about to reply, when Ian

    walked to the table and said, Outta my way, Jamie, I'll play!

    Would you have played?

  5. You shoot the first one.

    BECAUSE

    The first ones last sentence is " he is a liar He is a huggl dorfid shoot him.

    You would not shoot a non liar if you are chasing a liar.

    I think this is very close to a solution.

    On first read, I didn't appreciate how close. It is the last utterance that gives it away; the rest of what's said doesn't help us.

    As it stands, tho, the imperative "shoot him" has no truth value, so it can't contradict anything.

    But change it to a declarative "you should therefore shoot him" and it becomes an incorrect conclusion for "he is a liar."

    [1] thus exposes himself as the liar.

    ... or a poor logician ... or a good candidate for Survivor! <!-- s;) --><!-- s;) -->

  6. Take a look at these mugs, would ya!

    Ian and Davey glanced at Alex, who was holding the biggest

    pair of ale mugs anyone ever saw. Jamie arrived next, out of

    breath, from across the room. Crap, he said, I thought you

    said jugs. Annie left an hour ago, chided Alex, you need your

    ears cleaned. But now that I have your attention ...

    I've measured these beauties, and they hold exactly 4 pints,

    raising the blue mug in his left hand, and 5 pints, looking at

    the green mug in his right. What's more, I've asked the barkeep

    to fill those two 10-pint pitchers over on the bar.

    Now here's my challenge for ya ...

    If any of you geniuses can put exactly 2 pints of ale into

    each of these mugs here, I'll buy the whole 20 pints. Then we'll

    party. But think well and choose wisely, as they say, cuz if ya

    take the bet and can't get it done in fewer than 10 pourings,

    then you'll be buying the drinks.

    Poor Jamie. He never saw a bet he didn't like. After all the

    others passed, he gave it a try.

    Any way Jamie won the bet?

  7. Using cap first letters for names. Blue is given; Red is conclusion.

    M is F; F iff Liar

    Q is A; If A then Truthteller.

    ----------------------

    M will lie; Q will tell truth.

    All A is B; Some B is A; Some B is C; All C is B.

    All D is either B or G; All G is F; No F is B.

    If DB then H.

    ----------------------

    Truthtellers are A, B, C and H

    Liars are F and G.

    D's are mixed: and [G].

    =============now the story==============

    [1]: I am A. Innocuous. T or F.

    [2]: I am A. Innocuous. T or F.

    [1]: I am B. Innocuous. T or F.

    [2]: [1] lies; [1] is G. Innocuous; consistent. Both T or both F.

    [1]: [2] lies; [2] is H; [2] is D. Inconsistent. Cannot all be true.

    [1] is M, and I shoot him.

  8. An alien, Jynor, lands and tells you that earth’s future is in your hands!

    it was written in the high school men's room.Which of the two do you blast and why?

    the second alien

    I'll use initial letters, and denote first alien by [1] and second alien by [2].

    Suppose [1] is M and [2] is Q.

    Then the statements lead to this:

    [1] is A, ^F, B and ^G

    [2] is ^A, F, H, D -> BvG -- that is, [2] is B or [2] is G

    Because No F's are B, that means [2] is G

    which means .... OK I'm lost.

    I think the clues aren't sufficient. Let me ask:

    Does "Some Borfids are Arfids, and some are Cofids." allow for B's that are neither A nor C?

    Does "only Foslings lie" and "All Goslings are Foslings" lead to a contradiction?

    i.e. Goslings don't lie, because only Foslings lie, but Goslings do lie beacause they are Foslings?

    This is interesting, but I'm stuck.

    I'll revisit after some zzzzzzzzzzzzzzzz's

  9. Interesting point. B)) The first timepieces [OK, first there were sundials, the ultimate analog timepiece]

    had pendulums and escapements, so the hands paused each second. Same deal with pocket and

    wrist watches [wheels instead of pendula]. The synchronous motor clock had hands that moved

    continuously, like the sundial shadow. Then LED battery burners and LCD battery savers - both

    devoid of analog [moving] parts [except a tiny piece of quarts vibrated like crazy] completed the picture.

    The question rules out sundials and digitals, but doesn't specify re: discrete/continuous analog.

    One might admit 61, 61.017... or 62 as correct. Depends on the paper grader sometimes, too. :huh:

    p.s. I remember first time I came across the approach I outlined above. A real AHA moment, cuz of early

    childhood attempts to mentally solve this. The second hand goes around once. But by then the minute

    hand went around by a 60th of a rotation. OK, so move the second hand a 60th of a rotation. But

    then the minute hand moved a 3600th of a rotation. Darn. What do you do with an infinite series?

    Even when you can do the series, how much nicer to just divide 3600 by 59? It didn't originate with me.

    I just remembered so vividly when I first read it, it stayed with me. ;)

  10. 3.)How long does it take for the second hand of a clock (non-digital) to go around and cross the minute hand each time? (p.s...i asked this one in another forum and they said the answer was 61 but no explanation was given)
    From noon to 1:00 [3600 seconds] this event happens exactly 59 times [not 60, cuz the minute hand made a revolution, too], at equal intervals.

    Crossings therefore occur every 61.01694915254237288135593220339 seconds.

    Approximately.

  11. In the end, sorry to say, all they would offer for the plans was the plastic magnifying glass from a box of Cracker Jacks.

    LOL - do I at least get the Cracker Jacks also? :D

    I noticed crumbs on the floor so I can only assume the worst.

    Are there any other rules the FCC wants to give us? Since we couldn't solve for 8 under the strict requirements, there's no way to solve for 10 with the same requirements....

    ...unless....

    build 2 circle configs with each circle with 5 stores in each and having their own connecting corridors as previously suggested. One store in circle group #1 is connected by it's own corridor to a store in circle group # 2. Still got those nodes and vertices - but hey, that's what architects are for right? haven't met one that didn't appreciate a good node or vertices... and we can bring in our retail consultant who coincidentally is named Peterman (J. Peterman to be precise...) to help weave a story as to why this is the best thing since sliced bananas....

    You're on an interesting track. Squares inside squares, circles inside circles, pentagons within pentagons?

    They received a note from Petersen that mentioned unit graphs, whatever that is.

    They were about to reach for the phone to call him, but Google might be even faster ....

    That's all I can think of.

    Good luck, but hurry: that fat consultant check might go to JP.

  12. Maybe it takes a visit to Morty's to appreciate it, but when the boys

    gather there, it's more about swagger than brains. They're near-genius,

    some of them, at times, but they're what one might call closet geniuses.

    And visiting a Library [there's a rumor of Internet access coming to town,

    soon, but for now the Library is their main resource] just might cast a

    shadow of weakness at their nightly discussions. I guess they'd like the

    others to think they get answers all on their own. In the story, each visited

    less frequently than the others as they admitted their habit.

    And, since you caught me on the Internet physics thing, Alex was visiting

    the States when he did that ... uh ...

    Anyway, we have a motion already on the floor -- uh, puzzle still to solve --

    before we next look in on Morty's.

    What day do I visit the Library?

    [Clue - it's multiple choice. ... take a stab at it.]

  13. Either one of them should take all the money out of their wallet and they can't lose, only win if one of them was dumb enough to leave their money in their wallet.
    A good lateral-thinking game strategy, if a bit underhanded. :huh:

    Bravo.

    But the questions in the OP were about the analysis of the game.

    If the boys were thinking clearly, how could the game favor both of them?

    Or if not, where is the flaw in their reasoning?

    Can a game favor both participants [if the rules are followed]?

    Its symmetry seems to favor neither. If that's true, supply an analysis leading to that conclusion.

    It may not be correct to analyze for very nearly equal amounts.

    Only that neither has reason to think one has more.

    For example, one be willing to bet the other visited a cash machine more recently.

  14. I think Writersblock got it right in his spoiler. However, if you allow some latitude on the guidelines from the FCC, there's a way to do it that allows all stores to get to each other as required and has all walkways the same length

    Layout the stores in a circle, starting with #1 and going around to # 8. Connect the walkways from 1 to 5, 2 to 6, 3 to 7, and 4 to 8. All the walkways should connect to each other in the middle of the circle where they cross. This technique works for any number of buildings.

    O Lord, another planning meeting.

    Well, at first they loved the idea, calling it forward looking and innovative.

    Then their graph theoretician [where did HE come from?] started talking about nodes and verticies ...

    And the safety guy got concerned about access to all the stores from just one point.

    In the end, sorry to say, all they would offer for the plans was the plastic magnifying glass from a box of Cracker Jacks.

    If the maximum is six stores, as has been suggested, they likely will scrap the project.

    But they're leaving a 24-hour window for another plan.

    Oh, and did I mention? Two more stores want in, bringing the total to 10.

    As I left the room I heard someone suggest an evaluation from a guy named Petersen.

    Didn't get his first name, but I think it started with J.

  15. but what if you have like, a really BIG cake.
    And, I assume, a large number of people among whom to divide.

    Seems a fair point to consider.

    Divide the people into two groups, and have each group elect a captain.

    The captain of Group 1 cuts the really BIG cake in half.

    The captain of Group 2 chooses one of the halves.

    Optionally repeat the process - like if you have a really REALLY big cake.

    Each Group then fairly divides the not-so-really-BIG cakes.

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