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# There is a door with length =8 and width =4. A wardrobe

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There is a door with length =8 and width =4. A wardrobe [#permalink]  27 May 2008, 09:39
There is a door with length =8 and width =4. A wardrobe should be brought through this door. The dimensions of the wardrobe are the following: length=y, width =x and height=z, where z>y>x. Will this wardrobe pass through the door?

1) x+y+z<12
2) (x^2)+(y^2)+(z^2)<16
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Re: door [#permalink]  27 May 2008, 09:59
1)
let x=1 y=2 z=3
yes it will fit
let z=8.5 y=2 x=1
no it won't fit
insufficient

2)
-4<x+y+z<4
no negative dimensions->
0<x+y+z<4
all dimensions of the wardrobe must be greater than zero->
the width and length are both less than 4
sufficient

B
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Re: door [#permalink]  27 May 2008, 10:04
puma wrote:
There is a door with length =8 and width =4. A wardrobe should be brought through this door. The dimensions of the wardrobe are the following: length=y, width =x and height=z, where z>y>x. Will this wardrobe pass through the door?

1) x+y+z<12
2) (x^2)+(y^2)+(z^2)<16

IMO B should be the answer

From statement 1 both the situations are possible i.e. wardrobe can pass thru the door and cannot pass thru the door. let us c if height can be 8.5 then the wardrobe would not enter

Statement 2 ...only thing which satisfies the equation is z-3,y-2,x-1 according to which the wardrobe can enter

HTH

what is the OA
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Re: door [#permalink]  27 May 2008, 10:06
puma wrote:
There is a door with length =8 and width =4. A wardrobe should be brought through this door. The dimensions of the wardrobe are the following: length=y, width =x and height=z, where z>y>x. Will this wardrobe pass through the door?

1) x+y+z<12
2) (x^2)+(y^2)+(z^2)<16

statement 1: Suff, as long as any 2 sides of the wardrope is less 12, it will pass through

statement 2: Suff, this tells you that the longest side is less than 4

D
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Re: door [#permalink]  27 May 2008, 11:39
Unfortunately, I don't know the OA as this question was in my real GMAT test and I didn't solve it.
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Re: door [#permalink]  27 May 2008, 12:04
i get D..too

1) worst case its 11 feet long and 0.25 feet wide and 0.25 feet high..we can still pass this through..if its 6feet long and 6 feet wide..then the diagonal will be sqrt(2)*6..which is less then the diagonal of door its which is sqrt(5)*4..

2) x^2+y^2+z^2<4..is sufficient..too
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Re: door [#permalink]  27 May 2008, 14:53
puma wrote:
There is a door with length =8 and width =4. A wardrobe should be brought through this door. The dimensions of the wardrobe are the following: length=y, width =x and height=z, where z>y>x. Will this wardrobe pass through the door?

1) x+y+z<12
2) (x^2)+(y^2)+(z^2)<16

I get D.

S1: The best I can come up with is making 1 side 11. But this would just make the wardrobe basically a pole. Any other combination still is able to fit through.

S2: Def able to fit through.
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Re: door [#permalink]  27 May 2008, 20:46
vdhawan1 wrote:

IMO B should be the answer

edit to my 1... confused length with height

z>y>x
x+y+z<12
let both y and z equal x
3*x<12
->
x<4
let x=0.000000001 and y=z
2*y<12
y<6

so D
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Re: door [#permalink]  27 May 2008, 21:53
gmatnub wrote:
puma wrote:
There is a door with length =8 and width =4. A wardrobe should be brought through this door. The dimensions of the wardrobe are the following: length=y, width =x and height=z, where z>y>x. Will this wardrobe pass through the door?

1) x+y+z<12
2) (x^2)+(y^2)+(z^2)<16

statement 1: Suff, as long as any 2 sides of the wardrope is less 12, it will pass through

statement 2: Suff, this tells you that the longest side is less than 4

D

Hi gmatnub,
is it that we just have to pass the wardrobe through the door ? ie the wardrobe can be bent ,turned etc to go through the door? if its only in the standing position then the height of the door should be less that the length (ie we are passing the wardrobe in a standing position) please correct because if the height of the wardrobe is 10 and the length of the door is 8 we cant pass it in the standing position as the height is greater than the length.
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Re: door [#permalink]  29 May 2008, 05:47
The question is bit unclear if the Almira has to pass in the standing position thn the height would matter. (since it's unclear, I wonder if it's safe to assume)

Though D seems fine.
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Re: door [#permalink]  31 May 2008, 01:07
The question seems wrong:
There is a door with length =8 and width =4
Should it not be :
There is a door with height =8 and width =4
???
I didn't quite understand the question
Re: door   [#permalink] 31 May 2008, 01:07
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