1 + 2 = 4 > 1 + 2 = 3
correct me if im wrong.
nothing is whole, pure, not rotten, or the same size. We are taught to lie in school. argumentative papers taking quotes out of context to prove a false point right. Should we not be selling 3 as 4?  supersaturated ..
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A friend asked me to find what was the 12 digit number of what seams to be a sequence:
2
5
27
730
532901
? ? ? ? ? ? ? ? ? ? ? ?
Any help is welcomed!
Thanks in advance!
]]>I once participated in a test where the answers had to be chosen from the first 10 letters of the alphabet (AJ).
Not bothered too much about the solution, I merely answered by matching the letters with numbers 1 to 10 in strict alphabetical order. I managed a score of only 2/10!
I showed the result to a friend of mine who bettered the score to 5/10 with his attempt. 
The same test was passed on to five more people, each who was entitled to view all previous results. All of them scored 7/10, meaning that no one was spot on. 
(1) What is the probability that the next person will get 10/10 on his first try? (2) If you were to submit a solution as contestant № VIII, which letters would you enter to ensure that you obtain full marks? 
Here’s the score sheet for attempts I to VII:

]]>
121, 144, 202, 244, ?
]]>After each man, at random, was given one of the boxes, they were given the following test. Each in turn, and out of sight of the others, was to blindly remove two of the balls from his box, read the label on his box, and then endeavor to tell to the others the color of the third ball, which remained in the box.
It did not seem a difficult task, but the results were a bit surprising:
And then he proceeded to do so. How did he tell?
I am normally below you
If you remove my 1st letter
You will find me above you
If you remove my 1st and 2nd letter you can't see me
]]>Been trying to crack it for days to no avail. Thanks for all the suggestions!
]]>those who buy it dont want it
those who use it dont know it
what am i?
]]>
Aristotle: Fantastic.
I'm headed to Vegas this weekend, and I can use some pointers.
P: Curb your enthusiasm kid, this is serious stuff.
Here, roll this pair of dice, but don't look at the the result. OK, good.
Now without looking, tell me the probability that you rolled a seven.
If you're going to play craps this is important.
By the way, I can tell you that one of your dice is a four.
A: Hmm...
So I could have rolled 41 42 43 44 45 46 14 24 34 54 or 64,
all with equal likelihood, with 34 and 43 making seven.
That's a probability of 2/11.
P: You're on a roll kid, now let's do it again. Great.
Again without looking, what's the probability you rolled a seven?
By the way, I can tell you one of your dice is a one.
A: So I could have rolled 11 12 13 14 15 16 61 51 41 31 or 21,
with 16 and 61 making seven. Hmm... it's the same as before  2/11.
P: And if I had told you one of your dice was a five?
A: Well ... I guess it really doesn't matter what number you tell me.
It will always come out the same. The probability will be 2/11.
P: So what can we deduce from that?
A: That the probability of two dice making seven is ... 2/11.
But wait... Hey, you're not really Professor Plato, are you?
P: No. I'm an insurance salesman.
So ... what exactly is the probability of making seven?
]]>How much did Waltraud and Xhuliana win in that draw?
Edit: Jeremiah won $790, Philemon $1650, and Ridgeley $464
]]>*Meaning the time during which there is any overlap of the trains.
]]>I shared the dream later with my son, remarking again and again of the city's beauty.
Even if you hadn't mentioned the fact to me, Dad, I would have told you this was not a real experience, he replied. Ten Islands, as you described it, could not exist in this world, only in a dream.
How could he be certain of that?
]]>Here's what we know from police interviews that followed the discovery of Bill's cold body on a lonely stretch of country road late last night, along with the fatal gun that belonged to one of them ... the murderer. So read on and see where the evidence leads. But fair warning, exactly half of each of the suspects' four statements are lies.
Who was the rat who done poor Bill in?
]]>That's it. But surely by now you know what order they actually placed.
]]>Surprisingly, after 360 letters were called no player had called his initial. Well, said one, it was a nice thought, but hey let's just flip a coin, already. And thus the Prose were named home team. But by then it was dark, and the game was accordingly postponed until the following weekend.
But when they gathered next to play, there was a disagreement about who was on which team, owing to the fact that no one had bothered to write the rosters down.
No problem, though. All 18 members of the Lit Soc, Taylor, Brown, Jenkins, Miller, Gerson, Babcock, Adams, Randolph, Carver, Smith, Flynn, Sawyer, Timmons, Myers, Lucas, Morton, Young and Peters, were also long time members of BrainDen and thus had no difficulty at all in reconstructing the team rosters.
And neither should you. Who played for each team?
]]>
. . .
X .
=======
X . . Y
. X Y

. Y X Y
What two numbers are being multiplied?
]]>You have a pet mouse. It's an awfully cute mouse. Kind of like those mice on Pinky and the Brain. And you'd like to make it even cuter by teaching it some tricks. The only problem is that your mouse is, well... let's just say it has the brain of a mouse so it's kind of hard to teach it any tricks. But it is very good at eating food. In fact, it will always manage to find the closest morsel of food and go eat it, then find the closest from its new position and go eat that, etc. until it eats everything in sight. So, you'd like to "teach" your mouse to do some tricks given that behavior.
The first exercise is to place morsels of food at the corners of a square and place breadcrumbs so the mouse runs to diagonal corners as much as possible. In other words, suppose you have a square with points A, B, C, D in clockwise order with the mouse starting at point A and you'd like to make the mouse go to point C (diagonal from point A), then point B (one of the two remaining), then point D (diagonal from point B). There are already some breadcrumbs at points B, C, and D (since there need to be breadcrumbs there if you want the mouse to stop at those points) and your goal is to place breadcrumbs to make the mouse go from A to C to B to D while placing as few breadcrumbs as possible.
That first exercise might be a challenge for your kid brother, but for a BrainDen level challenge (the one I haven't convinced myself I've found an optimal solution for yet): Instead of a square, suppose you have a regular pentagon with points A, B, C, D, and E in clockwise order and want to get the mouse to go from A to C to E to B to D?
]]>
S P E N D
 L E S S
=========
M O N E Y
You's think so, he replied, but I've determined that this is quite impossible.
Is he right?
]]>