It is currently 11 Dec 2018, 07:31
My Tests

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.

If |a| + |b| = |a + b|, a ≠ 0, and b ≠ 0, then which of the

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5130
Followers: 77

Kudos [?]: 1029 [0], given: 4636

CAT Tests
If |a| + |b| = |a + b|, a ≠ 0, and b ≠ 0, then which of the [#permalink] New post 13 Apr 2018, 06:13
Expert's post
00:00

Question Stats:

87% (00:30) correct 12% (01:19) wrong based on 8 sessions
If |a| + |b| = |a + b|, a ≠ 0, and b ≠ 0, then which of the following must be true?


A. ab < 0

B. ab > 0

C. a - b > 0

D. a + b < 0

E. a + b > 0
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

Director
Director
User avatar
Joined: 07 Jan 2018
Posts: 553
Followers: 4

Kudos [?]: 477 [0], given: 84

CAT Tests
Re: If |a| + |b| = |a + b|, a ≠ 0, and b ≠ 0, then which of the [#permalink] New post 16 Apr 2018, 20:58
Let \(a = -1\)
Let \(b = -2\)

Then \(|a| + |b| = 1 + 2 =3\)
and, \(|a + b| = |-3|= 3\)

Similarly,
Let \(a = 1\)
Let \(b = 2\)

Then, \(|a| + |b| = 1 + 2 =3\)
and, \(|a + b| = |3|= 3\)

Therefore either \(a,b\) can be \(-1,-2\) or \(1,2\)

The correct option should satisfy both the condition for \((a,b)\)
only option b does that since \(a*b\) is always\(+\)ve since we are multiplying \(2\) \(+\)ve numbers or 2 \(-\)ve numbers which will always be \(+\)ve.
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Re: If |a| + |b| = |a + b|, a ≠ 0, and b ≠ 0, then which of the   [#permalink] 16 Apr 2018, 20:58
Display posts from previous: Sort by

If |a| + |b| = |a + b|, a ≠ 0, and b ≠ 0, then which of the

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

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®.