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M10-18

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M10-18 [#permalink]

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New post 16 Sep 2014, 00:42
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  45% (medium)

Question Stats:

65% (01:09) correct 35% (00:53) wrong based on 75 sessions

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Which of the following points is not on the line \(y = 5x + 3\)?

A. \((\frac{1}{2}, \frac{11}{2})\)
B. \((\frac{1}{3}, \frac{14}{3})\)
C. \((\sqrt{8}, 3 + 10*\sqrt{2})\)
D. \((\sqrt{4}, 13)\)
E. \((\sqrt{2}, \frac{31}{3})\)
Spoiler: OA

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Re M10-18 [#permalink]

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New post 16 Sep 2014, 00:42
1
1
Official Solution:

Which of the following points is not on the line \(y = 5x + 3\)?

A. \((\frac{1}{2}, \frac{11}{2})\)
B. \((\frac{1}{3}, \frac{14}{3})\)
C. \((\sqrt{8}, 3 + 10*\sqrt{2})\)
D. \((\sqrt{4}, 13)\)
E. \((\sqrt{2}, \frac{31}{3})\)

For \((\sqrt{2}, \frac{31}{3})\), the left hand side (LHS) becomes \(LHS=y=\frac{31}{3}=\text{rational}\) and \(RHS=5x + 3=5\sqrt{2}+3=\text{irrational}\) and since \(\text{rational} \ne \text{irrational}\), then line \(y=5x+3\) does not pass through point \((\sqrt{2}, \frac{31}{3})\).

Answer: E
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Re: M10-18 [#permalink]

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New post 12 Apr 2016, 09:05
D does not work either
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Re: M10-18 [#permalink]

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New post 12 Apr 2016, 09:44
1
forsellingonline1 wrote:
D does not work either



Hi,
D does fit in..
D. \((\sqrt{4},13)\)
y=5x+3..
substitute x= \(\sqrt{4}\) = 2 and y as 13..
13=5*2+3..
13=13..
OK
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Re M10-18 [#permalink]

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New post 28 Jul 2016, 11:15
I think this is a high-quality question and the explanation isn't clear enough, please elaborate. Hi, I have the following doubts please clarify:
1. In D can't square root of 4 be + or -2?
.
2. I did not understand your explanation for E. Square root if 2 is approximately 1.41. so LHS is approximately 10.33. RHS = 5 * 1.41 + 3 which is approximately 10.08. Does this negligible difference be attributed to the reason that it does not lie on the line?
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Re: M10-18 [#permalink]

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New post 03 Aug 2016, 10:34
letter C, the value is for x or y?
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Re: M10-18 [#permalink]

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New post 08 Apr 2017, 02:03
fla162 wrote:
letter C, the value is for x or y?


First one is always X. In this case X= \sqrt{8}
Re: M10-18   [#permalink] 08 Apr 2017, 02:03
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