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27 May 2008, 09:39
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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
1) x+y+z<12
2) (x^2)+(y^2)+(z^2)<16
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27 May 2008, 09:59
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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
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
27 May 2008, 10:04
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puma
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
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
