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# Which of the following lines has x-intercept and y-intercept that are

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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04 Aug 2016, 03:50
10
00:00

Difficulty:

45% (medium)

Question Stats:

59% (01:29) correct 41% (01:19) wrong based on 217 sessions

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Which of the following lines has x-intercept and y-intercept that are integers?
A. y=3x+1
B. y=√x+1
C. y=-2/x
D. y=x^2-1
E. xy=1

*An answer will be posted in 2 days.

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"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" CEO Joined: 11 Sep 2015 Posts: 3360 Location: Canada Re: Which of the following lines has x-intercept and y-intercept that are [#permalink] ### Show Tags 04 Aug 2016, 07:23 1 Top Contributor 1 MathRevolution wrote: Which of the following lines has x-intercept and y-intercept that are integers? A. y=3x+1 B. y=√x+1 C. y=-2/x D. y=x^2-1 E. xy=1 *An answer will be posted in 2 days. IMPORTANT POINT #1: The y-intercept is the point where the x-coordinate is 0 So, let's plug x = 0 into each answer choice. We get: A. y= 3(0) + 1 = 1. Integer - KEEP B. y = √0 + 1 = 1. Integer - KEEP C. y = -2/0 undefined. ELIMINATE D. y = 0² - 1 = -1. Integer - KEEP E. (0)y = 1. When we solve for y, y is undefined. ELIMINATE We're left with A, B and D IMPORTANT POINT #2: The x-intercept is the point where the y-coordinate is 0 So, let's plug y = 0 into each answer choice. We get: A. 0 = 3x + 1 Solve to get x = -1/3. Not an integer. ELIMINATE B. 0 = √x + 1 Unsolvable for x. ELIMINATE D. 0 = x² - 1 x = 1 or -1, Both are integers. KEEP! Answer: RELATED VIDEO _________________ Test confidently with gmatprepnow.com Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6832 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Which of the following lines has x-intercept and y-intercept that are [#permalink] ### Show Tags 07 Aug 2016, 16:50 Values that satisfy y=x^2-1 are (x,y)=(-1,0),(1,0),(0,-1). Hence, they are all integers and the correct answer is D. _________________ 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$149 for 3 month Online Course"
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Joined: 28 Apr 2016
Posts: 88
Re: Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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07 Aug 2016, 21:03
Why is B wrong?

B. y=√x+1

when x equals 0 we get y = 1
when y equals 0 we get sqrt x = - 1 ----> x = 1?

so both x and y intercepts are integers.

MathRevolution wrote:
Values that satisfy y=x^2-1 are (x,y)=(-1,0),(1,0),(0,-1). Hence, they are all integers and the correct answer is D.
Manager
Joined: 21 Apr 2016
Posts: 168
Re: Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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07 Aug 2016, 21:33
ameyaprabhu wrote:
Why is B wrong?

B. y=√x+1

when x equals 0 we get y = 1
when y equals 0 we get sqrt x = - 1 ----> x = 1?

so both x and y intercepts are integers.

MathRevolution wrote:
Values that satisfy y=x^2-1 are (x,y)=(-1,0),(1,0),(0,-1). Hence, they are all integers and the correct answer is D.

Also, note that \sqrt{x} is never negative on GMAT. so \sqrt{x} is -1 for no value of x.
Manager
Joined: 28 Apr 2016
Posts: 88
Re: Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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07 Aug 2016, 21:42
you mean to say once we reach the stage of √x = - 1, we should not square both sides at all and discontinue solving?

chnarjun wrote:
ameyaprabhu wrote:
Why is B wrong?

B. y=√x+1

when x equals 0 we get y = 1
when y equals 0 we get sqrt x = - 1 ----> x = 1?

so both x and y intercepts are integers.

MathRevolution wrote:
Values that satisfy y=x^2-1 are (x,y)=(-1,0),(1,0),(0,-1). Hence, they are all integers and the correct answer is D.

Also, note that \sqrt{x} is never negative on GMAT. so \sqrt{x} is -1 for no value of x.
Manager
Joined: 21 Apr 2016
Posts: 168
Re: Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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07 Aug 2016, 22:04
1
[quote="ameyaprabhu"]you mean to say once we reach the stage of √x = - 1, we should not square both sides at all and discontinue solving?

Correct!
Manager
Joined: 28 Sep 2013
Posts: 85
GMAT 1: 740 Q51 V39
Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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Updated on: 14 Aug 2016, 18:07
This is a Incorrect question because there are many options given that don't qualify to be a line or line segment.
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Originally posted by RichaChampion on 14 Aug 2016, 13:39.
Last edited by RichaChampion on 14 Aug 2016, 18:07, edited 1 time in total.
Manager
Joined: 21 Apr 2016
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Re: Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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14 Aug 2016, 18:03
RichaChampion wrote:
This is a super flop question because there are many options given that don't qualify to be a line or line segment.

I'd call them all lines but not STRAIGHT LINES.

Is it the case in GMAT that a line implies a straight line?
Manager
Joined: 28 Sep 2013
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Re: Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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14 Aug 2016, 18:09
chnarjun wrote:
RichaChampion wrote:
This is a super flop question because there are many options given that don't qualify to be a line or line segment.

I'd call them all lines but not STRAIGHT LINES.

Is it the case in GMAT that a line implies a straight line?

Really? You also call Parabola a Line?
D. y=x^2-1

The Mathematics THAT I have learned so far lines are default straight in nature. I have never Know a Line that is curvical or conical or perhaps spherical.
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Manager
Joined: 28 Sep 2013
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GMAT 1: 740 Q51 V39
Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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14 Aug 2016, 18:14
This is the graph of the equation D. y=x^2-1
i.e. a Parabola not a line -

This is the graph of XY=1, which is a Hyperbolic Parabola not a line - http://amsi.org.au/ESA_Senior_Years/ima ... /1b_41.png
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Re: Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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15 Aug 2016, 01:31
This question is fundamentally wrong. Only Option A is line, rest all 4 options doesn't qualify even to be a line.
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Math Revolution GMAT Instructor
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GMAT 1: 760 Q51 V42
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Re: Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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17 Aug 2016, 21:19
RichaChampion

We are sorry for typo on the question.
The question should have been

Which of the following lines or curves has x-intercept and y-intercept that are integers?
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Manager
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Re: Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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17 Aug 2016, 21:34
MathRevolution wrote:
RichaChampion

We are sorry for typo on the question.
The question should have been

Which of the following lines or curves has x-intercept and y-intercept that are integers?

In that case also there are two correct answers in one problem solving question.
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Intern
Joined: 08 Jun 2015
Posts: 20
Location: United States
Concentration: Finance, Economics
WE: Engineering (Other)
Re: Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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21 Aug 2017, 05:04
How could a curve be a line? In think either the question is wrong or their is some typo in the question.

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Re: Which of the following lines has x-intercept and y-intercept that are  [#permalink]

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21 Sep 2018, 22:28
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Re: Which of the following lines has x-intercept and y-intercept that are &nbs [#permalink] 21 Sep 2018, 22:28
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