Aegis, probably should have been more specific.
I meant, what number goes where the question mark is located?
1 1 1 1
1 3 5 7
1 5 13 25
1 7 25 ?
So what's the last number?
Vehemence's Quizitorium
Cartoon Law III
Any body passing through solid matter will leave a perforation conforming to its perimeter. Also called the silhouette of passage, this phenomenon is the speciality of victims of directed-pressure explosions and of reckless cowards who are so eager to escape that they exit directly through the wall of a house, leaving a cookie-cutout-perfect hole. The threat of skunks or matrimony often catalyzes this reaction.
Any body passing through solid matter will leave a perforation conforming to its perimeter. Also called the silhouette of passage, this phenomenon is the speciality of victims of directed-pressure explosions and of reckless cowards who are so eager to escape that they exit directly through the wall of a house, leaving a cookie-cutout-perfect hole. The threat of skunks or matrimony often catalyzes this reaction.
Nope. It's a definitive answer. Not 55. Theres a pattern there... look harder.
1 1 1 1
1 3 5 7
1 5 13 25
1 7 25 ?
1 1 1 1
1 3 5 7
1 5 13 25
1 7 25 ?
Cartoon Law III
Any body passing through solid matter will leave a perforation conforming to its perimeter. Also called the silhouette of passage, this phenomenon is the speciality of victims of directed-pressure explosions and of reckless cowards who are so eager to escape that they exit directly through the wall of a house, leaving a cookie-cutout-perfect hole. The threat of skunks or matrimony often catalyzes this reaction.
Any body passing through solid matter will leave a perforation conforming to its perimeter. Also called the silhouette of passage, this phenomenon is the speciality of victims of directed-pressure explosions and of reckless cowards who are so eager to escape that they exit directly through the wall of a house, leaving a cookie-cutout-perfect hole. The threat of skunks or matrimony often catalyzes this reaction.
Score Check:
Xandax: 2
Yshania: 1
Question 4:
A prison guard ran his prison in accordance with certain security precautions which dictated that:
a) There must be twice as many prisoners on the top floor as on the ground floor,
b) No cell could be unoccupied,
c) There must always be eleven prisoners in the six cells on each of the four sides.
One night, nine prisoners escaped. Yet the next morning, when the warden made his rounds, nothing seemed amiss.
How many prisoners were there to begin with? How did the remaining prisoners rearrange themselves to conceal the escape?
Xandax: 2
Yshania: 1
Question 4:
A prison guard ran his prison in accordance with certain security precautions which dictated that:
a) There must be twice as many prisoners on the top floor as on the ground floor,
b) No cell could be unoccupied,
c) There must always be eleven prisoners in the six cells on each of the four sides.
One night, nine prisoners escaped. Yet the next morning, when the warden made his rounds, nothing seemed amiss.
How many prisoners were there to begin with? How did the remaining prisoners rearrange themselves to conceal the escape?
Cartoon Law III
Any body passing through solid matter will leave a perforation conforming to its perimeter. Also called the silhouette of passage, this phenomenon is the speciality of victims of directed-pressure explosions and of reckless cowards who are so eager to escape that they exit directly through the wall of a house, leaving a cookie-cutout-perfect hole. The threat of skunks or matrimony often catalyzes this reaction.
Any body passing through solid matter will leave a perforation conforming to its perimeter. Also called the silhouette of passage, this phenomenon is the speciality of victims of directed-pressure explosions and of reckless cowards who are so eager to escape that they exit directly through the wall of a house, leaving a cookie-cutout-perfect hole. The threat of skunks or matrimony often catalyzes this reaction.
Well I was just looking at it and couldn't figure it out - then I eate dinner, and presto - the idea appeare to meOriginally posted by Yshania:
<STRONG>@Xandax - I was scribbling on bits of paper in the kitchen while cooking pizza! lol! I bet I had the answer before you!(not!)
</STRONG>
.So you properly knew it before me
Insert signature here.
-
Yshania
- Posts: 8572
- Joined: Wed May 09, 2001 10:00 pm
- Location: Some Girls Wander By Mistake
- Contact:
First guess...
Considering there are six cells along each four walls that would give you twenty cells (corner cells counting twice)
In order to have minimum 11 prisoners along each wall I calculated ground floor 2 to each cell, with two cells having just one occupant therefore 18 cells x 2 inmates and 2 cells x 1 inmate
= 18x2 = 36
& 2x1 = 2
therefore ground floor = 38 prisoners.
First floor therefore = 76 prisoners (twice ground floor occupancy)
with 18 cells having 4 occupants and 2 cells having 2 occupants.
= 18x4 = 72
& 2x2 = 4
Total prisoners to start = 38+76 = 114.
9 inmates escape leaving 105.
To redistribute themselves ensuring all cells are occupied they would need 35 on the ground floor and 70 (35x2) on the first floor. Totalling 105.
35 on the ground floor would be 15 cells with 2 inmates and 5 cells with one inmate.
(20 cells, 35 inmates)
70 on the first floor would be 15 cells with 4 inmates and 5 cells with 2 inmates.
(20 cells, 70 inmates)
Each cell on each floor has a minimum of one inmate.
Phew...I hope this is right lol! 
[ 07-24-2001: Message edited by: Yshania ]
Considering there are six cells along each four walls that would give you twenty cells (corner cells counting twice)
In order to have minimum 11 prisoners along each wall I calculated ground floor 2 to each cell, with two cells having just one occupant therefore 18 cells x 2 inmates and 2 cells x 1 inmate
= 18x2 = 36
& 2x1 = 2
therefore ground floor = 38 prisoners.
First floor therefore = 76 prisoners (twice ground floor occupancy)
with 18 cells having 4 occupants and 2 cells having 2 occupants.
= 18x4 = 72
& 2x2 = 4
Total prisoners to start = 38+76 = 114.
9 inmates escape leaving 105.
To redistribute themselves ensuring all cells are occupied they would need 35 on the ground floor and 70 (35x2) on the first floor. Totalling 105.
35 on the ground floor would be 15 cells with 2 inmates and 5 cells with one inmate.
(20 cells, 35 inmates)
70 on the first floor would be 15 cells with 4 inmates and 5 cells with 2 inmates.
(20 cells, 70 inmates)
Each cell on each floor has a minimum of one inmate.
Phew...I hope this is right lol!
[ 07-24-2001: Message edited by: Yshania ]
Parachute for sale, like new! Never opened!
Guinness, black goes with everything.
Guinness, black goes with everything.
He's probably sleeping right now (he's on the same timeline as I am ) (good smiley though )
[ 07-24-2001: Message edited by: Brink ]
) (good smiley though )[ 07-24-2001: Message edited by: Brink ]
Proud SLURRite Assistant Scientist and Brewer of the Rolling Thunder (TM)- Visitors WELCOME !!!
[size=0](Feel free to join us for a drink, play some pool or even relax in a hottub - want to learn more? )[/size]
Progressing through life, one step at a time
[size=0](Feel free to join us for a drink, play some pool or even relax in a hottub - want to learn more? )[/size]
Progressing through life, one step at a time
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Yshania
- Posts: 8572
- Joined: Wed May 09, 2001 10:00 pm
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Doh! I will have to wait until tomorrow now to see if I can match Xandax...
@Xandax - were you nicking my kids pizza? I thought they had eaten a bit last night! lol!
I don't know, pinching my kids dinner and reading my notes...
[ 07-24-2001: Message edited by: Yshania ]
@Xandax - were you nicking my kids pizza? I thought they had eaten a bit last night! lol!
I don't know, pinching my kids dinner and reading my notes... [ 07-24-2001: Message edited by: Yshania ]
Parachute for sale, like new! Never opened!
Guinness, black goes with everything.
Guinness, black goes with everything.
Awww.... can I cheer you up with my pillow adven...erm, nevermind
Proud SLURRite Assistant Scientist and Brewer of the Rolling Thunder (TM)- Visitors WELCOME !!!
[size=0](Feel free to join us for a drink, play some pool or even relax in a hottub - want to learn more? )[/size]
Progressing through life, one step at a time
[size=0](Feel free to join us for a drink, play some pool or even relax in a hottub - want to learn more? )[/size]
Progressing through life, one step at a time
I agree
Proud SLURRite Assistant Scientist and Brewer of the Rolling Thunder (TM)- Visitors WELCOME !!!
[size=0](Feel free to join us for a drink, play some pool or even relax in a hottub - want to learn more? )[/size]
Progressing through life, one step at a time
[size=0](Feel free to join us for a drink, play some pool or even relax in a hottub - want to learn more? )[/size]
Progressing through life, one step at a time
Ok, I'm awake now
Yshania... where'd you get the idea of 20 cells?
There should only be 16 cells.
8 on each floor.
_______
|1|2|3|
|4| |5|
|6|7|8|
-------
Don't count the corner cells twice It's only one cell.
You should be on the right track though.
Yshania... where'd you get the idea of 20 cells?
There should only be 16 cells.
8 on each floor.
_______
|1|2|3|
|4| |5|
|6|7|8|
-------
Don't count the corner cells twice
It's only one cell.You should be on the right track though.
Cartoon Law III
Any body passing through solid matter will leave a perforation conforming to its perimeter. Also called the silhouette of passage, this phenomenon is the speciality of victims of directed-pressure explosions and of reckless cowards who are so eager to escape that they exit directly through the wall of a house, leaving a cookie-cutout-perfect hole. The threat of skunks or matrimony often catalyzes this reaction.
Any body passing through solid matter will leave a perforation conforming to its perimeter. Also called the silhouette of passage, this phenomenon is the speciality of victims of directed-pressure explosions and of reckless cowards who are so eager to escape that they exit directly through the wall of a house, leaving a cookie-cutout-perfect hole. The threat of skunks or matrimony often catalyzes this reaction.
-
Yshania
- Posts: 8572
- Joined: Wed May 09, 2001 10:00 pm
- Location: Some Girls Wander By Mistake
- Contact:
Oh Veh!!! 
Originally posted by Veh
= | 1| 2| 3| 4| 5| 6|
| 7|-----------| 8|
| 9|-----------|10|
|11|-----------|12|
|13|-----------|14|
|15|16|17|18|19|20|
You did not specify that 6 cells along each wall was three downstairs and three upstairs
OK. Recalculating...
[ 07-25-2001: Message edited by: Yshania ]
Originally posted by Veh
6 cells along each of the four sides.c) There must always be eleven prisoners in the six cells on each of the four sides.
= | 1| 2| 3| 4| 5| 6|
| 7|-----------| 8|
| 9|-----------|10|
|11|-----------|12|
|13|-----------|14|
|15|16|17|18|19|20|
You did not specify that 6 cells along each wall was three downstairs and three upstairs
OK. Recalculating...
[ 07-25-2001: Message edited by: Yshania ]
Parachute for sale, like new! Never opened!
Guinness, black goes with everything.
Guinness, black goes with everything.
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Yshania
- Posts: 8572
- Joined: Wed May 09, 2001 10:00 pm
- Location: Some Girls Wander By Mistake
- Contact:
I think I might have it now - though my first answer is not really wrong as it did work out, just a different number of cells.
Original no of inmates = 36 =
12 on the ground floor and 24 on the first.
Ground floor cells = nos
....i..ii..iii
a) 1 - 5 - 1
b) 1 - - - 1
c) 1 - 1 - 1 = 12
First floor cells = nos
...iv...v...vi
d) 1 - 2 - 1
e) 6 - - - 6
f) 1 - 6 - 1 = 24
considering row
a is above d total inmates = 11
c is above f total = 11
considering column
i) is above iv) total = 11
iii) is above vi) total = 11
9 escape. 36 - 9 = 27 redistributed as follows:
9 on ground floor, 18 on first floor:
Ground floor cells = nos
....i..ii..iii
a) 1 - 1 - 1
b) 1 - - - 1
c) 2 - 1 - 1 = 9
First floor cells = nos
...iv...v...vi
d) 3 - 2 - 3
e) 2 - - - 1
f) 2 - 1 - 4 = 18
considering row
a is above d total inmates = 11
c is above f total = 11
considering column
i) is above iv) total = 11
iii) is above vi) total = 11
I am not doing this one again!!!!!
I think I deserve 2 points now hehe!
Original no of inmates = 36 =
12 on the ground floor and 24 on the first.
Ground floor cells = nos
....i..ii..iii
a) 1 - 5 - 1
b) 1 - - - 1
c) 1 - 1 - 1 = 12
First floor cells = nos
...iv...v...vi
d) 1 - 2 - 1
e) 6 - - - 6
f) 1 - 6 - 1 = 24
considering row
a is above d total inmates = 11
c is above f total = 11
considering column
i) is above iv) total = 11
iii) is above vi) total = 11
9 escape. 36 - 9 = 27 redistributed as follows:
9 on ground floor, 18 on first floor:
Ground floor cells = nos
....i..ii..iii
a) 1 - 1 - 1
b) 1 - - - 1
c) 2 - 1 - 1 = 9
First floor cells = nos
...iv...v...vi
d) 3 - 2 - 3
e) 2 - - - 1
f) 2 - 1 - 4 = 18
considering row
a is above d total inmates = 11
c is above f total = 11
considering column
i) is above iv) total = 11
iii) is above vi) total = 11
I am not doing this one again!!!!!
I think I deserve 2 points now hehe!
Parachute for sale, like new! Never opened!
Guinness, black goes with everything.
Guinness, black goes with everything.