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

 It is currently 15 Dec 2018, 03:31

### 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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

December 15, 2018

December 15, 2018

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# M14-24

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51218

### Show Tags

15 Sep 2014, 23:53
2
1
00:00

Difficulty:

35% (medium)

Question Stats:

81% (00:48) correct 19% (04:24) wrong based on 53 sessions

### HideShow timer Statistics

If $$A$$, $$B$$, $$C$$, $$D$$ and $$E$$ are non-zero numbers, do lines $$Ax + By = C$$ and $$Dx + Ey = F$$ have the same slope?

(1) $$\frac{A}{B} = \frac{D}{E}$$

(2) $$\frac{E}{B} = \frac{D}{A}$$

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 51218

### Show Tags

15 Sep 2014, 23:53
1
Official Solution:

$$Ax + By = C$$. So, $$y=-\frac{A}{B}x+\frac{C}{B}$$, so the slope of this line is $$-\frac{A}{B}$$;

$$Dx + Ey = F$$. So, $$y=-\frac{D}{E}x+\frac{F}{E}$$, so the slope of this line is $$-\frac{D}{E}$$;

The question asks whether $$-\frac{A}{B}=-\frac{D}{E}$$, or whether $$\frac{A}{B}=\frac{D}{E}$$.

(1) $$\frac{A}{B}=\frac{D}{E}$$. Directly answers the question. Sufficient.

(2) $$\frac{E}{B}=\frac{D}{A}$$. We can rewrite this as $$\frac{A}{B}=\frac{D}{E}$$. Sufficient.

_________________
Intern
Joined: 27 May 2014
Posts: 1

### Show Tags

27 Nov 2017, 09:38
Answer cannot be D, Because they gave non-zero integer..we dont know the value of A,B,C,D (this might be positive or neg).My Answer will be E.
Math Expert
Joined: 02 Sep 2009
Posts: 51218

### Show Tags

27 Nov 2017, 10:06
rakeshdba05 wrote:
Answer cannot be D, Because they gave non-zero integer..we dont know the value of A,B,C,D (this might be positive or neg).My Answer will be E.

You are wrong. The question asks whether $$\frac{A}{B}=\frac{D}{E}$$ and each statement gives a definite YES answer to this question. To justify E you should give examples, which give an YES and a NO answer to the question.
_________________
Re: M14-24 &nbs [#permalink] 27 Nov 2017, 10:06
Display posts from previous: Sort by

# M14-24

Moderators: chetan2u, Bunuel

 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®.