Tim 45
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| posted on 24/2/04 at 08:54 PM |
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Another maths puzzle
Have a go at this one you may be surprised:
A university wanted to build a new campus. It was to have a maximum of seven lifts. But to economise they would have them stopping at only six floors.
The students must be able to go to their destination WITHOUT changing lifts.
What is the largest number of floors the building could have?
lets see what you get
PS for clarification
[Edited on 24/2/04 by Tim 45]
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Carl.H
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| posted on 24/2/04 at 09:10 PM |
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36 I think
I drink to make other people interesting.
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Julian B
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| posted on 24/2/04 at 09:13 PM |
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Im 2 mins behind you and worked it out to be 36 if you count the ground floors to be a stop.....
Of course it could be bollo*
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Tim 45
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| posted on 24/2/04 at 09:14 PM |
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close but your way off
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Carl.H
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| posted on 24/2/04 at 09:20 PM |
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I assume that all floors need a stop, and if your changing lifts they must be both on the same floor
I drink to make other people interesting.
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Tim 45
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| posted on 24/2/04 at 09:29 PM |
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Sorry bout that carl.....read through the puzzle again, i omitted a major point.
Sorry once again 
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rusty nuts
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| posted on 24/2/04 at 09:34 PM |
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6? Rusty
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Tim 45
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| posted on 24/2/04 at 09:36 PM |
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nope
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rusty nuts
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| posted on 24/2/04 at 09:36 PM |
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assuming the lift goes to all floors it's 6 unless stairs are involved, Rusty
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flak monkey
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| posted on 24/2/04 at 09:39 PM |
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I think it is 18 
David
Sera
http://www.motosera.com
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Tim 45
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| posted on 24/2/04 at 09:43 PM |
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try using excel it becomes obvious 
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Carl.H
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| posted on 24/2/04 at 09:54 PM |
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7 got there in the end (maybe)
I drink to make other people interesting.
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Julian B
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| posted on 24/2/04 at 10:24 PM |
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Well you have changed the question half way through ....... Just for clarification my arse
Sorry but i spent minutes working the answer out
Is it 1345678976 ?
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JoelP
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| posted on 24/2/04 at 11:19 PM |
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11!
already deleted that once but i've got there twice now!
just to explain my reasoning, one lift does 1-6, then its (2+7-11),(3+7-11)(4+7-11)(5+7/11) and finally (6+7-11).
any floor can go to any floor then i think.
[Edited on 24/2/04 by JoelP]
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craig1410
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| posted on 24/2/04 at 11:55 PM |
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Well I make it 35 floors (plus ground floor) on the assumption that "getting to their destination" means from ground to some other floor
and not inter-floor movements. If inter-floor movements are involved then the answer is 5 floors (plus ground).
When do you put us out of our misery then? It'll better be soon or I'm going to go fetch one of my Mensa puzzle books and get my own back!
Cheers,
Craig.
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JamJah
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| posted on 25/2/04 at 09:08 PM |
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I made it 36. All of them must stop at the ground floor plus 5 others 7 lifts times 5 floors each is 35 plus GF. How about adding a multi storey car
park under it?
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JoelP
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| posted on 25/2/04 at 09:51 PM |
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i think you have to be able to go from any floor to any floor, otherwise its too easy to work out and wouldnt be a puzzle!
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craig1410
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| posted on 25/2/04 at 11:40 PM |
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My 35 dis-counts ground floor as you normally talk about a 35 floor building as one having 35 floors over and above ground floor.
As I said, by my reckoning if you need to go from any floor to any floor without changing then it can only have 5 floors (plus ground = 6) so
there's not much point in having 7 lifts unless you need the capacity. Is this the "surprise"?
Come on we've waited long enough for the answer!
Cheers,
Craig.
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Carl.H
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| posted on 25/2/04 at 11:48 PM |
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i think this shows how to get to 7 floors from any of the 7 floors 
 
lift
I drink to make other people interesting.
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The Shootist
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| posted on 25/2/04 at 11:50 PM |
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31 Floors
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JamJah
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| posted on 25/2/04 at 11:56 PM |
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if the answer was 7 wouldnt it make more sense to have each lift dedicated to its own floor? that way you can cram as many people in as possible and
all get out at once. this then prevents the poor sod having to try and get out. althought it would still have to stop everywhere so time is still the
same. it was a good thought at the time.
Ps. what university do you work at tim. and how much money have we just saved you!
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JoelP
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| posted on 26/2/04 at 09:37 AM |
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quote:
Originally posted by JoelP
11!
...just to explain my reasoning, one lift does 1-6, then its (2+7-11),(3+7-11)(4+7-11)(5+7/11) and finally (6+7-11).
[Edited on 24/2/04 by JoelP]
does this not work?! thats 11 floors (10 plus ground) with any combination possible...
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Carl.H
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| posted on 26/2/04 at 06:46 PM |
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'without changing lifts'?
how do you go from ground floor to floor 11 in one go?
I drink to make other people interesting.
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suparuss
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| posted on 26/2/04 at 07:00 PM |
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quote:
Originally posted by Carl.H
'without changing lifts'?
how do you go from ground floor to floor 11 in one go?
cos it bypasses some floors, and goes to straight to the highers ones, so youd have to choose which lift to catch depending o nthe floor you want
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JoelP
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| posted on 26/2/04 at 07:23 PM |
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i actually seem to have missed out the specifications of the 7th lift, which would link 1,7,8,9,10 and 11. hence 1st floor to the 11th without
changing lifts!
did anyone notice i only mentioned 6 lifts?!?
btw, i wouldnt guarantee there cant be more than 11, but i certainly cant think how it would work. so i stick...
[Edited on 26/2/04 by JoelP]
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