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A triangle is to be constructed in the xy-plane such that the x- and y

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Intern
Joined: 02 Oct 2012
Posts: 13
Location: India
Concentration: Operations, General Management
GMAT 1: 700 Q51 V32
GPA: 3.6
WE: Operations (Energy and Utilities)
A triangle is to be constructed in the xy-plane such that the x- and y  [#permalink]

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30 May 2016, 01:01
1
A triangle is to be constructed in the xy-plane such that the x- and y- coordinates of each vertex are integers that satisfy the inequalities -3 ≤ x < 7 and 2 < y ≤ 7. If one of the sides is parallel to the x-axis, how many different triangles with these specifications can be constructed?

A 18000
B 9000
C 1200
D 1008
E 504
Intern
Joined: 29 Dec 2014
Posts: 23
Concentration: Operations, Strategy
GMAT 1: 690 Q48 V35
GMAT 2: 710 Q48 V39
Re: A triangle is to be constructed in the xy-plane such that the x- and y  [#permalink]

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30 May 2016, 04:44
10*9*5 for the two points constituting the line parallel to x-axis and 10*4 for the third point within the allowed matrix. Combining for all points gives 18000 as answer. Am I correct? Ans. Plz

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Joined: 02 Sep 2009
Posts: 64144
Re: A triangle is to be constructed in the xy-plane such that the x- and y  [#permalink]

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30 May 2016, 07:59
saunakdey wrote:
A triangle is to be constructed in the xy-plane such that the x- and y- coordinates of each vertex are integers that satisfy the inequalities -3 ≤ x < 7 and 2 < y ≤ 7. If one of the sides is parallel to the x-axis, how many different triangles with these specifications can be constructed?

A 18000
B 9000
C 1200
D 1008
E 504

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Re: A triangle is to be constructed in the xy-plane such that the x- and y   [#permalink] 30 May 2016, 07:59