Hello,
Can you please assist with this:
A sofa is shipped in a rectangular box shaped package. If the length, width, and
height of the package are l, w, and h, respectively, will the box fit through a
door which is 4 feet wide and 8 feet tall?
(1) l + w + h < 12
(2) l^2 + w^2 + h^2 < 256
OA: A
Thanks,
Sri
Target Test Prep is 20% off right now!
Use code FLASH20
Available with Beat the GMAT members only code
MORE DETAILS
sofa dimensions
This topic has expert replies
-
gmattesttaker2
- Legendary Member
- Posts: 641
- Joined: Tue Feb 14, 2012 3:52 pm
- Thanked: 11 times
- Followed by:8 members
GMAT/MBA Expert
-
[email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi Sri,
This DS question will likely be easier to solve if you try to visualize what it asks for.
We're told that we're dealing with a box that has dimensions L, W and H. We're asked if it will fit through a 4 ft x 8 ft door? This is a YES/NO question.
The key aspect to this question is that the box can go through the door in any orientation.
Fact 1: L + W + H < 12
Let's TEST Values
L = 1, W = 1, L = 1
This box will clearly fit through the door, so the answer is YES.
L = 5, W = 5, L = 1
This box will fit through the door IF you turn it sideways, so the answer is YES.
L = 3.9, W = 3.9, L = 3.9
This box will fit through the door, so the answer is YES
Since the total has to be less than 12, there's no way to make the box "too big" to fit through the door.
Fact 1 is SUFFICIENT
Fact 2: L^2 + W^2 + H^2 < 256
L = 1, W = 1, H = 1
The answer to the question is YES.
L = 4.1, W = 4.1, H = 4.1
This box will NOT fit through the door, so the answer is NO
Fact 2 is INSUFFICIENT
Final Answer: A
GMAT assassins aren't born, they're made,
Rich
This DS question will likely be easier to solve if you try to visualize what it asks for.
We're told that we're dealing with a box that has dimensions L, W and H. We're asked if it will fit through a 4 ft x 8 ft door? This is a YES/NO question.
The key aspect to this question is that the box can go through the door in any orientation.
Fact 1: L + W + H < 12
Let's TEST Values
L = 1, W = 1, L = 1
This box will clearly fit through the door, so the answer is YES.
L = 5, W = 5, L = 1
This box will fit through the door IF you turn it sideways, so the answer is YES.
L = 3.9, W = 3.9, L = 3.9
This box will fit through the door, so the answer is YES
Since the total has to be less than 12, there's no way to make the box "too big" to fit through the door.
Fact 1 is SUFFICIENT
Fact 2: L^2 + W^2 + H^2 < 256
L = 1, W = 1, H = 1
The answer to the question is YES.
L = 4.1, W = 4.1, H = 4.1
This box will NOT fit through the door, so the answer is NO
Fact 2 is INSUFFICIENT
Final Answer: A
GMAT assassins aren't born, they're made,
Rich
