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# All the dots in the array are 2 units apart vertically and horizontall

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Math Expert
Joined: 02 Sep 2009
Posts: 62496
All the dots in the array are 2 units apart vertically and horizontall  [#permalink]

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18 May 2016, 01:09
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Difficulty:

45% (medium)

Question Stats:

63% (01:07) correct 37% (01:20) wrong based on 41 sessions

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All the dots in the array are 2 units apart vertically and horizontally. What is the length of the longest line segment that can be drawn joining any two points in the array without passing through any other point ?

A. 2
B. 2√2
C. 3
D. √10
E. √20

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Manager
Joined: 07 Mar 2015
Posts: 108
Location: India
Concentration: General Management, Operations
GMAT 1: 590 Q46 V25
GPA: 3.84
WE: Engineering (Energy and Utilities)
Re: All the dots in the array are 2 units apart vertically and horizontall  [#permalink]

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18 May 2016, 02:45

√2^2 + 4^2 = √20
Intern
Joined: 15 Sep 2015
Posts: 2
Location: Italy
Concentration: Strategy, General Management
Re: All the dots in the array are 2 units apart vertically and horizontall  [#permalink]

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18 May 2016, 11:27
E, because the longest line would be the ipothenusa of the triangle with each segment long 1 and 2 inches respectively
Manager
Joined: 16 Mar 2016
Posts: 119
Location: France
GMAT 1: 660 Q47 V33
GPA: 3.25
Re: All the dots in the array are 2 units apart vertically and horizontall  [#permalink]

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18 May 2016, 11:44
h^2 = 4^2 + 2^2 = 16+4 = 20
H = sqrt (20)
Intern
Joined: 06 Feb 2016
Posts: 8
Re: All the dots in the array are 2 units apart vertically and horizontall  [#permalink]

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18 May 2016, 17:24
Its clear that the answer is E; hopefully, we can get questions like this one in the real test
Re: All the dots in the array are 2 units apart vertically and horizontall   [#permalink] 18 May 2016, 17:24
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