EPTMath Puzzles - Page 4
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BigBalls
United States5354 Posts
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Xeofreestyler
Belgium6772 Posts
1 2 10 140 5740 -Next element= ? | ||
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BigBalls
United States5354 Posts
Basketball player S's team statistician keeps track of the number, S(n) of successfull free throws S has made in his first n attempts of the season. Early in the season, S(n) was less than 80% of n but by the end of the season, S(n) was more than 80%. Is it necessarily true that at one point in the season S(n) was exactly 80% of n? | ||
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Pacifist
Israel1683 Posts
There are sixteen prisoners on death row, who are about to be executed the next day. The warden tells the prisoners that on the day of their execution, either a white hat or a black hat will be placed on their heads. They will stand in a single file line so that the person at the front can't see any hats, the person second in line can see the first person's hat, the person third in line can see the first two people's hats, etc, and the last person in line can see everyone's hat but his own. (Nobody can see their own hat.) The warden will then, starting from the back of the line, ask each prisoner what color the hat they're wearing is. The prisoners are given the night to come up with a plan. Find the plan that guarantees the freedom of the maximum number of prisoners. | ||
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Polis
Poland1292 Posts
On June 17 2005 14:03 LTT wrote: Because if he doesn't agree, he is going to end up with nothing, and 1 coin is better than nothing. Why? They kill the pirte but the gold is still there to split, it is easy when there is rule that gold disapire when they don't agree but you didn't mention that. | ||
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LTT
Shakuras1095 Posts
Pacifist: Parity. (N-1) + 1/2 saved on average | ||
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BigBalls
United States5354 Posts
On June 17 2005 14:08 Xeofreestyler wrote: If you guys want another one; 1 2 10 140 5740 -Next element= ? x2,x5,x14,x41,x122 5740*122 is our answer | ||
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BigBalls
United States5354 Posts
On June 17 2005 14:10 LTT wrote: Wasn't that a Putnam problem? I remember seeing/doing it before. Pacifist: Parity. (N-1) + 1/2 saved on average yeah it was, one of the easier ones so i figured people would get it | ||
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Polis
Poland1292 Posts
Find the diferent ball. | ||
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One Page Memory
Bulgaria2145 Posts
 WRONG + /plus/ WRONG ------------- /equals/ RIGHT | ||
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Xeofreestyler
Belgium6772 Posts
Is anyone able to decipher this? 34 - ? 24 - 10 16 - 7 8 - 5 4 - ? | ||
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baal
10541 Posts
On June 17 2005 14:18 Polis wrote: You got 12 ball's, one of the weight less OR more then the others. You have balance and you can use it 3 times. Find the diferent ball. Easy, you put half and half, 6 remaining, half and half 3 remaining, then you put only 2, if they weight the same is the other one. | ||
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BigBalls
United States5354 Posts
On June 17 2005 14:22 Xeofreestyler wrote: Nicely done bigballs, are you on hackquest? Is anyone able to decipher this? 34 - ? 24 - 10 16 - 7 8 - 5 4 - ? what's hackquest? and the new one looks harder :/ | ||
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One Page Memory
Bulgaria2145 Posts
There is a lake, a boat in it, and a stone in the boat. What will happen if the the stone is taken from the boat and put in the lake? a) the level of the lake increases; b) the level of the lake decreases; c) the level of the lake stays the same; Best regards )/ME Now going to search old topics like that ) | ||
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BigBalls
United States5354 Posts
On June 17 2005 14:18 Polis wrote: You got 12 ball's, one of the weight less OR more then the others. You have balance and you can use it 3 times. Find the diferent ball. oh god, too many cases. ive done this problem so many times, its a good exercise | ||
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wasted
Germany1789 Posts
Blue eyes present during the meeting: 125 Are there more blue or brown eyes in the meeting? same amount Number of nights in which suicides happened: 250 Which mathematical concept made them kill themselves? statistical equal distribution basic idea is, that you know br=num_of_browneyes, bl=num_of_blueeyes, and you assume that br=bl. your own eyecolor is x=unknown, so if it's like br=bl-1 situation, you "know" that you are bl, and kill yourself. the next night for the next person to think about it, it's bl=br, but you know what the eyecolor of the person who killed himself was. so you know that you must belong to the other group and kill yourself. da capo | ||
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Polis
Poland1292 Posts
On June 17 2005 14:22 baal wrote: Easy, you put half and half, 6 remaining, half and half 3 remaining, then you put only 2, if they weight the same is the other one. No the ball weight MORE OR LESS then others. You put 6-6 and they weight diferent then? Actually that give you no info. | ||
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BigBalls
United States5354 Posts
The bridge has holes in it, so each trip a flashlight must go across. Also, only two people may cross at once. Finally, a trip takes as long as it takes the slowest person to travel across. Find a way to get everyone across in less than 18 seconds. | ||
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EvilTeletubby
Baltimore, USA22254 Posts
On June 17 2005 14:10 Pacifist wrote: i have one: There are sixteen prisoners on death row, who are about to be executed the next day. The warden tells the prisoners that on the day of their execution, either a white hat or a black hat will be placed on their heads. They will stand in a single file line so that the person at the front can't see any hats, the person second in line can see the first person's hat, the person third in line can see the first two people's hats, etc, and the last person in line can see everyone's hat but his own. (Nobody can see their own hat.) The warden will then, starting from the back of the line, ask each prisoner what color the hat they're wearing is. The prisoners are given the night to come up with a plan. Find the plan that guarantees the freedom of the maximum number of prisoners. Well, you could do something like, first guy says the color of the hat in front of him, so the next guy knows what to say.... and then depending upon how the guy says the color of his hat (ie, says it softly or loudly, quickly vs quiet, etc.), the in front of him would know if his hat is the same color as the previous. This would guarantee everyone but the first prisoner would live. He has 50/50 shot. ^_^ | ||
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Xeofreestyler
Belgium6772 Posts
It could be the other way around too though, not entirely sure x.x I once had it at a school quiz, and we werent sure so we used a fancy synonym of "stays the same" (in our language) and the dumb teacher probably didnt understand the word so gave us +1 for the answer XD | ||
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