605
   

NeoPets Riddles (Lenny Conundrums) and Answers Here

 
 
Jen Aside
 
  3  
Reply Thu 14 Aug, 2008 02:10 am
@Jen Aside,
Brilliant way to thwart beggars, take the site down during the hours when the first 250 have already been decided Laughing

New one, check it:

A Chomby was walking down a path one day when Jhudora appeared in front of it. "Solve this puzzle, and you may pass," she said.

Suppose you have a bunch of wooden beds, each weighing 200 pounds each, arranged in a pyramid. The base layer is 5 beds by 5 beds, the layer above is 4 beds by 4 beds, and so on until the top layer of one bed. They are arranged in such a way that each bed is resting on four beds below it, one leg on each bed.

If the weight on each bed is always equally distributed to all four legs, and each bed leg can only support 200 pounds, how many pounds can you place on top of the topmost bed? Please round to the nearest pound, and plese submit only a single number as your answer.
DrewDad
 
  2  
Reply Thu 14 Aug, 2008 07:46 am
@Jen Aside,
Looks like 800, to me.

Bristle
 
  2  
Reply Thu 14 Aug, 2008 03:13 pm
@DrewDad,
The bed itself weighs 200. 800-200?
riddlemethis93
 
  2  
Reply Thu 14 Aug, 2008 06:59 pm
@Bristle,
According to what I have found, the answer is neither 800 nor 200. The structure is a pyramid, thus however much weight you apply to topmost bed will be transfered throughout the structure to the bottom level, increasing as you proceed downwards. An increase of that much would put too much stress on the central bed at the bottom level, which already bears a good deal ,(from my calculations, 740.625 pounds, around 185 lbs per leg, before adding any weight) and would easily exceed the 200-pound breaking point of the legs.
markr
 
  2  
Reply Thu 14 Aug, 2008 08:40 pm
@riddlemethis93,
185.15625 pounds per leg on the middle bed is also what I get before weight is added to the top bed.

You can add 422 pounds to the top bed.
0 Replies
 
godmother01
 
  -1  
Reply Fri 15 Aug, 2008 08:30 am
@DrewDad,
I came up with 1,162
0 Replies
 
godmother01
 
  2  
Reply Fri 15 Aug, 2008 08:31 am
@Jen Aside,
I came up with 1,162.
0 Replies
 
DrewDad
 
  2  
Reply Fri 15 Aug, 2008 08:34 am
@Bristle,
My answer is probably wrong.
0 Replies
 
elmurci
 
  2  
Reply Fri 15 Aug, 2008 06:40 pm
It doesn't matter if the beds are in pyramid, the only that counts is the bed at the top. It is the same if the bed is at the top of a pyramid or on the floor.

If each leg supports 200 pounds, 4 x 200 = 800, but the bed weights 200 pounds, so the bed can support 800 - 200 = 600 pounds.

If you put 601 pounds the bed at the top will collapse.
0 Replies
 
godmother01
 
  2  
Reply Sat 16 Aug, 2008 09:24 pm
@Jen Aside,
I did some more figuring and I come up with 600lbs..
Aido
 
  2  
Reply Sat 16 Aug, 2008 10:41 pm
@godmother01,
It matters very much that they are in a pyramid. The outer beds only have to support 1/4 of the bed on top, but the middle beds have to support the FULL weight of the beds on top as they have 4 legs on them, not one leg like the outside beds.
The middle beds are under a lot more weight and stress as the weight distribution is NOT equal.
The top bed is not the only bed that matters as if the middle beds can't support the extra 600 lbs, it's not going to matter that the top bed can have 600 more pounds.
DrStevo
 
  3  
Reply Mon 18 Aug, 2008 10:34 am
@Aido,
IMHO, the only bed that matters is the bottom (5th level) central bed. The 200 lb load of the topmost bed (level 1) is distributed evenly to each of the 4 beds in level 2 adding 50lbs to each them. This now 250lbs per bed in level 2 is distributed to the 9 beds in level 3 unevenly depending on location; (62.5 lbs on the corners, 125 lbs on the edges & 250lbs in the middle). When distributing the weight loads of the 9 beds in level 3 over the beds in level 4, you need only look at the 4 central beds on level 4 (since these are the only ones in contact with the all important bed in the center on level 5). The total weight added to each of these 4 beds in level 4 is 340.625 lbs. The math is as follows: (.25 x 262.5) + (.5 x 325) + (.25 x 450). The resulting 540.625 lbs per each of these 4 beds is distributed directly to the bed in question. Adding 540.625 to the 200 lb weight of that bed you now have a total weight of 740.625 distributed over 4 legs. Since the legs can only support 200 lbs each, THAT bed can only support 800 lbs. So, you can only add 59.375 lbs before it breaks. The question becomes... How much of the weight of the top bed is finally distributed to the bottom central bed? Turns out if you do all this math without the single 200lb bed on the top level the total weight distributed to the central bed of level 5 is only 512.50. and is only increased by 28.125 lbs when the 200 lb bed was added. (or a total of .140625 per lb)
Finally... 59.375 / .140625 = 422.22 lbs which can be added to the top bed before the bottom central bed reaches its limit of 200 lbs per leg. Rounding off gets you 422 full pounds which can be added... adding 423 lbs would break the bed and collapse the pyrimid.
Jen Aside
 
  3  
Reply Wed 20 Aug, 2008 03:56 pm
@DrStevo,
You have the following sequence of numbers:

24
___
___
9
___
15
19

If you multiply the three missing numbers together, what will you get?
imalosflower
 
  3  
Reply Wed 20 Aug, 2008 04:00 pm
@Jen Aside,
maybe these are dates
stormygoddess
 
  3  
Reply Wed 20 Aug, 2008 04:44 pm
@imalosflower,
The month of Hiding


* Aug 8th - Blumaroo Day
* Aug 11th - Discovery of Brightvale
* Aug 18th - Meerca Day!
* Aug 20th - Annual Usuki Doll Convention
* Aug 24th - Grundo Independence Day
* Aug 25th - Mutant Day
* Aug 29th - Kyrii Day

The month of Gathering


* Sept 9th - Draik Day
* Sept 13th - Techo Day
* Sept 15th - The Annual Chocolate Ball
* Sept 19th - Poogle Parade (Poogle Day)
* Sept 20th - Faerie Festival. Rumour has it that this is when the Faeries are most generous to Neopians.
* Sept 23rd - Annual Gormball Championships
* Sept 25th - Skeith Day
DrStevo
 
  1  
Reply Wed 20 Aug, 2008 06:15 pm
@stormygoddess,
LOOKS good to me
0 Replies
 
LaVenDerAngeL
 
  3  
Reply Wed 20 Aug, 2008 08:04 pm
@stormygoddess,
so the answer is 9425 ?
MotherGoose
 
  1  
Reply Wed 20 Aug, 2008 08:22 pm
@LaVenDerAngeL,
The month of Hiding
* Aug 24th - Grundo Independence Day
* Aug 25th - Mutant Day
* Aug 29th - Kyrii Day


The month of Gathering
* Sept 9th - Draik Day
* Sept 13th - Techo Day
* Sept 15th - The Annual Chocolate Ball
* Sept 19th - Poogle Parade (Poogle Day)

The sequence seems to plausible.
0 Replies
 
Lovely-Dreams
 
  1  
Reply Thu 21 Aug, 2008 12:06 am
@LaVenDerAngeL,
Yup. 25*13= 325*29= 9425
0 Replies
 
Jen Aside
 
  4  
Reply Wed 27 Aug, 2008 05:14 pm
@DrewDad,
The following sentence appears somewhere on the Neopets site. However, only one letter per word is shown here.

http://images.neopets.com/games/conundrum/276_oneletter2.gif


What Neopian name can you spell when you unscramble the circled letters? Only submit a single word as your answer; any other information may disqualify your entry.
 

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