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Which of the following points are located within the shaded region of

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Which of the following points are located within the shaded region of  [#permalink]

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New post 04 Nov 2018, 23:48
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

81% (01:06) correct 19% (01:21) wrong based on 84 sessions

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Re: Which of the following points are located within the shaded region of  [#permalink]

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New post 05 Nov 2018, 07:33
2
As the line passes through (0,0) and (8,2), the equation of the line is x = 4y or x-4y = 0.
Take (8,3) and substitute: we get 8-4*3 = 8 - 12 = -4 < 0 hence above line
Take (8,1) and substitute: we get 8-4*1 = 8 - 4 = 4 > 0 hence below line.

Also, if a point has to be in the shaded region, it has to be in the third quadrant.
ELIMINATE A,B,E. Only options to check are C and D.

D: (-4,-4), substitute: -4 - (4*-4) = -4 +16 = 12 > 0, so below line in third quadrant. Hence eliminate

C: (-4, -0.5), substitute: -4 - (4*-0.5) = -4 + 2 = -2 < 0, so above line in third quadrant. Hence has to be inside the shaded region.

Hence Option C
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Re: Which of the following points are located within the shaded region of  [#permalink]

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New post 12 Nov 2018, 10:04
Question stem should be: Which of the following points is located...
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Which of the following points are located within the shaded region of  [#permalink]

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New post 12 Nov 2018, 10:27
dimmak wrote:
Question stem should be: Which of the following points is located...



dimmak - IMO the question is correct. "points" is in plural form :grin:
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Re: Which of the following points are located within the shaded region of  [#permalink]

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New post 12 Nov 2018, 10:35
dave13 wrote:
dimmak wrote:
Question stem should be: Which of the following points is located...



dimmak - IMO the question is correct. "points" is in plural form :grin:


But there is just one point that complies. I mean, if you say "are" it would state that there are more than one point that comply with the statement. And because of the essence of the Problem Solving questions, there is just one answer.
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Re: Which of the following points are located within the shaded region of  [#permalink]

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New post 17 Nov 2019, 04:39
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Re: Which of the following points are located within the shaded region of   [#permalink] 17 Nov 2019, 04:39
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