 It is currently 23 Sep 2020, 05:25 ### 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 must be true?  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Founder  Joined: 18 Apr 2015
Posts: 13344
Followers: 288

Kudos [?]: 3382 , given: 12176

which of the following must be true? [#permalink]
Expert's post 00:00

Question Stats: 85% (00:21) correct 15% (00:35) wrong based on 40 sessions
If $$\frac{x+2}{y-3}=0$$, which of the following must be true?

(A) x = 2 and y = 3

(B) x= 2 and $$y \neq 3$$

(C) x = 0 and y = 0

(D) x = -2 and y = 3

(E) x = -2 and $$y \neq 3$$
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. GRE Instructor Joined: 10 Apr 2015
Posts: 3830
Followers: 148

Kudos [?]: 4479  , given: 69

Re: which of the following must be true? [#permalink]
1
KUDOS
Expert's post
Carcass wrote:
If $$\frac{x+2}{y-3}=0$$, which of the following must be true?

(A) x = 2 and y = 3

(B) x= 2 and $$y \neq 3$$

(C) x = 0 and y = 0

(D) x = -2 and y = 3

(E) x = -2 and $$y \neq 3$$

In order for (x+2)/(y-3) = 0, it must be the case that the numerator, x+2, is equal to zero.
If x + 2 = 0, then x = -2

We can ELIMINATE A, B and C, but are still left with D and E

IMPORTANT: 0/0 does NOT equal zero.

This means, for (x+2)/(y-3) to equal 0, the denominator CANNOT equal 0
In other words, y-3 CANNOT equal 0
So, y CANNOT equal 3

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.  Re: which of the following must be true?   [#permalink] 25 Aug 2018, 07:47
Display posts from previous: Sort by

# which of the following must be true?  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.