GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 12 Jul 2020, 12:24 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Which of the following equations has only one integer pair as solution

Author Message
TAGS:

### Hide Tags

Intern  B
Joined: 18 Apr 2013
Posts: 33
Which of the following equations has only one integer pair as solution  [#permalink]

### Show Tags

1
20 00:00

Difficulty:   75% (hard)

Question Stats: 44% (01:16) correct 56% (01:12) wrong based on 202 sessions

### HideShow timer Statistics

Which of the following equations has only one integer pair as solution?

A) y = 2x

B) y = x/2

C) $$y =\sqrt{5}*x$$

D) y=x+1

E) y=1/x

Originally posted by roastedchips on 06 Jul 2017, 06:26.
Last edited by Bunuel on 06 Jul 2017, 08:01, edited 1 time in total.
Formatted the question.
Intern  Joined: 28 Apr 2017
Posts: 5
Re: Which of the following equations has only one integer pair as solution  [#permalink]

### Show Tags

1
Is C the answer as only one integer solution possible (0,0) rest all has more than one if you consider negative counter part

Sent from my MotoG3 using GMAT Club Forum mobile app
Manager  B
Joined: 22 Sep 2016
Posts: 154
Location: India
GMAT 1: 710 Q50 V35
GPA: 4
Re: Which of the following equations has only one integer pair as solution  [#permalink]

### Show Tags

roastedchips wrote:
Which of the following equations has only one integer pair as solution?

A) y = 2x

B) y = x/2

C) $$y =\sqrt{5}*x$$

D) y=x+1

E) y=1/x

What are the solutions for E? other than (1,1)?
Intern  Joined: 28 Apr 2017
Posts: 5
Re: Which of the following equations has only one integer pair as solution  [#permalink]

### Show Tags

(-1,-1) as Negative counterparts

Sent from my MotoG3 using GMAT Club Forum mobile app
Manager  B
Joined: 22 Sep 2016
Posts: 154
Location: India
GMAT 1: 710 Q50 V35
GPA: 4
Re: Which of the following equations has only one integer pair as solution  [#permalink]

### Show Tags

1
vivsleo wrote:
(-1,-1) as Negative counterparts

Sent from my MotoG3 using GMAT Club Forum mobile app

Thanks! I had missed that. Senior Manager  P
Joined: 29 Jun 2017
Posts: 411
GPA: 4
WE: Engineering (Transportation)
Re: Which of the following equations has only one integer pair as solution  [#permalink]

### Show Tags

A) y = 2x, x=1y=2, x=2y=4
B) y = x/2 x2y1 x4y2
C) y=√5∗x x0y0
D) y=x+1 x0y1 x1y2 x3y4
E) y=1/x x1y1 and x(-1) y(-1)

VP  V
Status: Learning
Joined: 20 Dec 2015
Posts: 1089
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE: Engineering (Manufacturing)
Re: Which of the following equations has only one integer pair as solution  [#permalink]

### Show Tags

We can have multiple integer solutions for every equation except C
y=√5∗x in order to have integer solution we have to have x=√5
Senior Manager  P
Joined: 29 Jun 2017
Posts: 411
GPA: 4
WE: Engineering (Transportation)
Re: Which of the following equations has only one integer pair as solution  [#permalink]

### Show Tags

arvind910619 wrote:

We can have multiple integer solutions for every equation except C
y=√5∗x in order to have integer solution we have to have x=√5

very sorry for your solution x =√5
which you stated above

x=0 and y= 0 is the only integer solution possible as √5 is not an integer.

Hope u can understand.
Director  D
Joined: 13 Mar 2017
Posts: 713
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Which of the following equations has only one integer pair as solution  [#permalink]

### Show Tags

1
roastedchips wrote:
Which of the following equations has only one integer pair as solution?

A) y = 2x

B) y = x/2

C) $$y =\sqrt{5}*x$$

D) y=x+1

E) y=1/x

A) x=0,y=0 ; x = 1,y=2 ........
B) x=0,y=0 ; x=1, y=1/2 ..........
C) x = 0, y = 0 .. There is no other integral value of x which will produce integral value of y.
D) x=0,y=1 ; x=1,y=2
E) x=1,y=1 ; x=-1,y=-1

Target Test Prep Representative V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 11083
Location: United States (CA)
Re: Which of the following equations has only one integer pair as solution  [#permalink]

### Show Tags

roastedchips wrote:
Which of the following equations has only one integer pair as solution?

A) y = 2x

B) y = x/2

C) $$y =\sqrt{5}*x$$

D) y=x+1

E) y=1/x

We see that choices A, B and D will have infinitely many integer pair solutions. Choice E has two, namely (1, 1) and (-1, -1). However, choice C only has one, namely, (0, 0).

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

214 REVIEWS

5-STARS RATED ONLINE GMAT QUANT SELF STUDY COURSE

NOW WITH GMAT VERBAL (BETA)

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews Re: Which of the following equations has only one integer pair as solution   [#permalink] 17 Apr 2020, 09:42

# Which of the following equations has only one integer pair as solution   