GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Sep 2018, 05:24

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Which of the following equations has a unique integer solution? A. y

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6227
GMAT 1: 760 Q51 V42
GPA: 3.82
Which of the following equations has a unique integer solution? A. y  [#permalink]

### Show Tags

04 Nov 2017, 18:23
00:00

Difficulty:

55% (hard)

Question Stats:

42% (00:39) correct 58% (01:28) wrong based on 52 sessions

### HideShow timer Statistics

[GMAT math practice question]

Which of the following equations has a unique integer solution?

A. $$y=3x$$
B. $$y=(\frac{x}{3})+4$$
C. $$y=\sqrt{2}x$$
D. $$y=\frac{1}{2}x$$
E. $$y=\frac{-1}{x}+2$$

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" PS Forum Moderator Joined: 25 Feb 2013 Posts: 1212 Location: India GPA: 3.82 Which of the following equations has a unique integer solution? A. y [#permalink] ### Show Tags Updated on: 05 Nov 2017, 02:09 MathRevolution wrote: [GMAT math practice question] Which of the following equations has a unique integer solution? A. $$y=3x$$ B. $$y=(\frac{x}{3})+4$$ C. $$y=\sqrt{2}x$$ D. $$y=\frac{1}{2}x$$ E. $$y=\frac{-1}{x}+2$$ For Option A,B, D & E there can be multiple integer solution depending upon the value of $$x$$. Hence they are out. Option C both $$x$$ & $$y$$ can be integer in only one scenario $$x=y=0$$ Hence the answer is option C Originally posted by niks18 on 04 Nov 2017, 21:14. Last edited by niks18 on 05 Nov 2017, 02:09, edited 1 time in total. Math Expert Joined: 02 Sep 2009 Posts: 49298 Re: Which of the following equations has a unique integer solution? A. y [#permalink] ### Show Tags 05 Nov 2017, 00:58 niks18 wrote: MathRevolution wrote: [GMAT math practice question] Which of the following equations has a unique integer solution? A. $$y=3x$$ B. $$y=(\frac{x}{3})+4$$ C. $$y=\sqrt{2}x$$ D. $$y=\frac{1}{2}x$$ E. $$y=\frac{-1}{x}+2$$ Hi Bunuel Can you calrify Option C $$y=\sqrt{2}x$$; if $$x=\sqrt{2}$$, $$y$$ is $$2$$ but if $$x=\sqrt{8}$$, $$y=4$$. Again multiple solutions possible. For Option A,B, D & E there can be multiple integer solution depending upon the value of $$x$$. Hence they are out. So we don't have an equation with unique solution. Kindly clarify where I am going wrong Please pay attention to the highlighted part. _________________ PS Forum Moderator Joined: 25 Feb 2013 Posts: 1212 Location: India GPA: 3.82 Which of the following equations has a unique integer solution? A. y [#permalink] ### Show Tags 05 Nov 2017, 01:56 Bunuel wrote: niks18 wrote: MathRevolution wrote: [GMAT math practice question] Which of the following equations has a unique integer solution? A. $$y=3x$$ B. $$y=(\frac{x}{3})+4$$ C. $$y=\sqrt{2}x$$ D. $$y=\frac{1}{2}x$$ E. $$y=\frac{-1}{x}+2$$ Hi Bunuel Can you calrify Option C $$y=\sqrt{2}x$$; if $$x=\sqrt{2}$$, $$y$$ is $$2$$ but if $$x=\sqrt{8}$$, $$y=4$$. Again multiple solutions possible. For Option A,B, D & E there can be multiple integer solution depending upon the value of $$x$$. Hence they are out. So we don't have an equation with unique solution. Kindly clarify where I am going wrong Please pay attention to the highlighted part. Thanks Bunuel for the hint so this means that both x & y should be an integer? Math Expert Joined: 02 Sep 2009 Posts: 49298 Re: Which of the following equations has a unique integer solution? A. y [#permalink] ### Show Tags 05 Nov 2017, 02:00 niks18 wrote: Thanks Bunuel for the hint so this means that both x & y should be an integer? Yes. I think it should be clear from my reply above. _________________ PS Forum Moderator Joined: 25 Feb 2013 Posts: 1212 Location: India GPA: 3.82 Re: Which of the following equations has a unique integer solution? A. y [#permalink] ### Show Tags 05 Nov 2017, 02:06 Bunuel wrote: niks18 wrote: Thanks Bunuel for the hint so this means that both x & y should be an integer? Yes. I think it should be clear from my reply above. Thanks, will edit my solution. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6227 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Which of the following equations has a unique integer solution? A. y [#permalink] ### Show Tags 05 Nov 2017, 18:26 => A. x = 0, y = 0 / x = 1, y = 3 B. x = 0, y = 4 / x = 3, y = 5 C. $$y=\sqrt{2}x$$ has a unique integer solution, that is, x = 0 and y = 0. If x is not 0, y is an irrational number, which is not an integer. D. x = 0, y = 0 / x = 2, y = 1 E. x = 1, y = 1 / x = -1, y = 3 Therefore, the answer is C. Answer : C _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Re: Which of the following equations has a unique integer solution? A. y &nbs [#permalink] 05 Nov 2017, 18:26
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.164396271109581, "perplexity": 10738.508332728601}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-39/segments/1537267157070.28/warc/CC-MAIN-20180921112207-20180921132607-00208.warc.gz"}