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13 May 2017, 06:19
Kudos
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
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Question Stats:
13% (02:59) correct
88%
(02:06)
wrong
based on 40
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If an ant, which is sitting at one of the corners on the top face of a cubical box full of sweets, travels on the outer surface of the box to reach the diagonally opposite corner of the box then what will be the shortest distance that ant will have to travel? The side of the box is 4 inches each.
A) 12
B) \(4+4\sqrt{2}\)
C) \(2\sqrt{17}\)
D) \(8\sqrt{2}\)
E) \(4\sqrt{17}\)
Source: www.GMATinsight.com
A) 12
B) \(4+4\sqrt{2}\)
C) \(2\sqrt{17}\)
D) \(8\sqrt{2}\)
E) \(4\sqrt{17}\)
Source: www.GMATinsight.com
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
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13 May 2017, 06:25
Kudos
Bookmarks
GMATinsight
If an ant, which is sitting at one of the corners on the top face of a cubical box full of sweets, travels on the outer surface of the box to reach the diagonally opposite corner of the box then what will be the shortest distance that ant will have to travel? The side of the box is 4 inches each.
A) 12
B) \(4+4\sqrt{2}\)
C) \(2\sqrt{17}\)
D) \(8\sqrt{2}\)
E) \(4\sqrt{17}\)
Source: www.GMATinsight.com
A) 12
B) \(4+4\sqrt{2}\)
C) \(2\sqrt{17}\)
D) \(8\sqrt{2}\)
E) \(4\sqrt{17}\)
Source: www.GMATinsight.com
This is very similar to the following questions:
https://gmatclub.com/forum/an-insect-is ... 28020.html
https://gmatclub.com/forum/an-ant-crawl ... 34454.html
https://gmatclub.com/forum/an-open-empt ... 97124.html
13 May 2017, 09:47
Kudos
Bookmarks
GMATinsight
If an ant, which is sitting at one of the corners on the top face of a cubical box full of sweets, travels on the outer surface of the box to reach the diagonally opposite corner of the box then what will be the shortest distance that ant will have to travel? The side of the box is 4 inches each.
A) 12
B) \(4+4\sqrt{2}\)
C) \(2\sqrt{17}\)
D) \(8\sqrt{2}\)
E) \(4\sqrt{17}\)
Source: www.GMATinsight.com
A) 12
B) \(4+4\sqrt{2}\)
C) \(2\sqrt{17}\)
D) \(8\sqrt{2}\)
E) \(4\sqrt{17}\)
Source: www.GMATinsight.com
Hi,
I think it is highly unlikely that such a Q is asked in GMAT..
Shortest route within a cube that is diagonal can still be thought of..
In a cube of side 4 it becomes \(\sqrt{4^2+4^2+4^2}=4√3\)..
But let's make this Q a bit easier..
Just concentrate on two squares of side 4 placed perpendicular to each other..
The ant has to move from one corner to opposite corner...When you open these two squares as if two squares next to each other, it becomes a rectangle with one side of (4+4) and other of 4..
The shortest distance here is the diagonal of this rectangle..
So ans is \(\sqrt{8^2+4^2}=\sqrt{80}=4√5\)...
But the choices do not have the correct answer..
GMATinsight it's again got faulty choices unless I have made some error in a hurry..
Bunuel kudos. You are an encyclopedia on all the Q's in our forum. You never miss out a single similar Q.
