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

It is currently 23 Oct 2019, 16:39

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

If the slope of l2 is equal to that of a different line, l1, which of

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58464
If the slope of l2 is equal to that of a different line, l1, which of  [#permalink]

Show Tags

New post 30 Aug 2018, 05:03
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

53% (00:56) correct 47% (00:52) wrong based on 84 sessions

HideShow timer Statistics

If the slope of l2 is equal to that of a different line, l1, which of the following could be true?

I. l1 and l2 have the same x-intercept.
II. l1 and l2 have the same y-intercept.
III. l1 and l2 have exactly 1 point in common.


A. None
B. II only
C. III only
D. I and II only
E. I, II and III

_________________
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4019
Location: Canada
Re: If the slope of l2 is equal to that of a different line, l1, which of  [#permalink]

Show Tags

New post 30 Aug 2018, 05:47
Top Contributor
Bunuel wrote:
If the slope of l2 is equal to that of a different line, l1, which of the following could be true?

I. l1 and l2 have the same x-intercept.
II. l1 and l2 have the same y-intercept.
III. l1 and l2 have exactly 1 point in common.


A. None
B. II only
C. III only
D. I and II only
E. I, II and III


If line1 and line2 have the same slope, the two lines are parallel to one another.
Also, it's POSSIBLE that the two lines are identical. HOWEVER, the question tells us that the lines are DIFFERENT.
So, we have two lines that are PARALLEL but different

If two lines that are PARALLEL but different, then they can never have the same x-intercept, or the same y-intercept.
They can't have any points in common either.

Answer: A

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 3581
If the slope of l2 is equal to that of a different line, l1, which of  [#permalink]

Show Tags

New post 30 Aug 2018, 19:57
Bunuel wrote:
If the slope of l2 is equal to that of a different line, l1, which of the following could be true?

I. l1 and l2 have the same x-intercept.
II. l1 and l2 have the same y-intercept.
III. l1 and l2 have exactly 1 point in common.


A. None
B. II only
C. III only
D. I and II only
E. I, II and III

Lines with the same slope are parallel.
The lines are different (if they were the same line, could share an x-intercept, see below)

Parallel lines never intersect. Never touch.
Parallel lines have no points in common.
Another fact: Parallel lines have identical slopes and different y-intercepts.

III. l1 and l2 have exactly 1 point in common.

Parallel lines have NO points in common
-- Eliminate III
-- Eliminate options C and E

Realize that I and II are ...
Impermissible points in common.

I. Share an x-intercept:
-- that intercept point would be (x,0) -- for BOTH lines.
-- Incorrect. Parallel lines have no points in common.
To share an x-intercept is to share a point, to have that point in common.

Eliminate D

II. Share a y-intercept.
-- That point would be (0,y) -- for BOTH lines.
-- Incorrect. Parallel lines have no points in common
To share a y-intercept is to share a point, to have that point in common.

Eliminate B

ANSWER A
_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.

If you ask for kudos, you had better be ready to give them.


Instructions for living a life. Pay attention. Be astonished. Tell about it. -- Mary Oliver
GMAT Club Bot
If the slope of l2 is equal to that of a different line, l1, which of   [#permalink] 30 Aug 2018, 19:57
Display posts from previous: Sort by

If the slope of l2 is equal to that of a different line, l1, which of

  post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne