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M10-18

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Math Expert
Joined: 02 Sep 2009
Posts: 46297

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16 Sep 2014, 00:42
3
3
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Difficulty:

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. $$(\sqrt{2}, \frac{31}{3})$$

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Joined: 02 Sep 2009
Posts: 46297

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16 Sep 2014, 00:42
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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 $$(\sqrt{2}, \frac{31}{3})$$.

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12 Apr 2016, 09:05
D does not work either
Math Expert
Joined: 02 Aug 2009
Posts: 5938

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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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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

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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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Joined: 27 Jan 2015
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Concentration: Marketing, Economics
GMAT Date: 03-26-2015

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03 Aug 2016, 10:34
letter C, the value is for x or y?
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Joined: 28 Apr 2016
Posts: 20

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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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