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

Question

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

Maple · Answer

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 0 the width and length are both less than 4 sufficient B

vd · Answer

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

gmatnub · Answer

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

puma · Answer

Unfortunately, I don't know the OA as this question was in my real GMAT test and I didn't solve it.

FN · Answer

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

GMATBLACKBELT · Answer

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.

Maple · 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

rohit929 · Answer

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.

rahulgoyal1986 · Answer

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) :shock:

Though D seems fine.

redbeanaddict · Answer

The question seems wrong:
Instead of:
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

bumpbot · Answer

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

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