Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 22 Jul 2019, 01:09

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

What is the value of m?

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

Hide Tags

Find Similar Topics 
Manager
Manager
avatar
Joined: 04 Oct 2013
Posts: 71
Location: Brazil
GMAT 1: 660 Q45 V35
GMAT 2: 710 Q49 V38
Reviews Badge
What is the value of m?  [#permalink]

Show Tags

New post 06 Dec 2013, 12:04
10
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

61% (01:21) correct 39% (01:29) wrong based on 306 sessions

HideShow timer Statistics


What is the value of m?

(1) |m| = −36/m

(2) 2m+2|m| = 0
Most Helpful Community Reply
Verbal Forum Moderator
User avatar
B
Joined: 10 Oct 2012
Posts: 604
Re: What is the value of m?  [#permalink]

Show Tags

New post 06 Dec 2013, 12:10
7
3
nechets wrote:
What is the value of m?

(1) |m| = −36/m

(2) 2m+2|m| = 0


As |m| is a non-negative entity, \(|m|\geq{0}\)

Now, F.S 1 states that \(|m| = \frac{-36}{m}\). This will be possible only if m<0.

Thus, as |m| = -m (for m<0), we have\(-m = \frac{-36}{m}\) and \(m^2 = 36 \to m=-6\).Sufficient.

F.S 2 states that |m| = -m. This is valid for any negative number or for Zero.Insufficient.

A.
_________________
General Discussion
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3857
Location: Canada
Re: What is the value of m?  [#permalink]

Show Tags

New post 22 Jun 2017, 07:27
2
Top Contributor
2
nechets wrote:
What is the value of m?

(1) |m| = −36/m

(2) 2m + 2|m| = 0


Target question: What is the value of m?

Statement 1: |m| = −36/m
There are 3 steps to solving equations involving ABSOLUTE VALUE:
1. Apply the rule that says: If |x| = k, then x = k and/or x = -k
2. Solve the resulting equations
3. Plug solutions into original equation to check for extraneous roots

Let's consider the two cases: m = −36/m and m = -(-36/m)
case a: m = −36/m
multiply both sides by m to get: m² = -36
unsolvable

case b: m = -(-36/m)
Simplify: m = 36/m
multiply both sides by m to get: m² = 36
So, EITHER m = 6 OR m = -6

Test each answer choice by plugging it into the original equation

m = 6 . We get: |6| = −36/6
Evaluate: 6 = -6 doesn't work.
So, m = 6 is NOT a solution

m = -6 . We get: |-6| = −36/(-6)
Evaluate: 6 = 6 WORKS
So, m = 6 IS a solution

Since there's only one valid solution, we know that m = -6
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: 2m + 2|m| = 0
Subtract 2m from both sides to get: 2|m| = -2m
Divide both sides by 2 to get: |m| = -m
Upon inspection we might see that there are several possible solutions, including m = 0, m = -1, m = -2 and so on.
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer:

RELATED VIDEO

_________________
Test confidently with gmatprepnow.com
Image
Manager
Manager
avatar
S
Joined: 05 Nov 2014
Posts: 104
Location: India
Concentration: Strategy, Operations
GMAT 1: 580 Q49 V21
GPA: 3.75
Reviews Badge
Re: What is the value of m?  [#permalink]

Show Tags

New post 22 Jun 2017, 07:30
What is the value of m?

(1) |m| = −36/m

(2) 2m+2|m| = 0

Solution:

Statement 1: m has to be negative. and only possible value of m is -6. Sufficient.
Statement 2: It says m is negative. But m can take any value. Insufficient.

Therefore the answer is Option A.
VP
VP
User avatar
D
Status: Learning
Joined: 20 Dec 2015
Posts: 1033
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE: Engineering (Manufacturing)
Reviews Badge
Re: What is the value of m?  [#permalink]

Show Tags

New post 22 Jun 2017, 11:18
The answer is A
from statement 1 we have |m| = −36/m which implies m*|m|=-36 which is only possible when we have m=-6
From statement 2 we have 2m+2|m| = 0 or m+|m|=0 this can take any value for example m=0, -1, -2,-3 etc
_________________
Please give kudos if you find my answers useful
Intern
Intern
avatar
B
Joined: 04 Feb 2016
Posts: 6
Re: What is the value of m?  [#permalink]

Show Tags

New post 06 Aug 2017, 04:28
why m has to be negative??? 1 options leave m as -6 & 6 as answers.. hence not sufficient...
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56332
Re: What is the value of m?  [#permalink]

Show Tags

New post 06 Aug 2017, 07:38
Ruchita1907 wrote:
why m has to be negative??? 1 options leave m as -6 & 6 as answers.. hence not sufficient...


Did you try to plug 6 into the equation? Does it satisfy it?


What is the value of m?

(1) |m| = −36/m.

The left hand side is an absolute value of a number (|m|), so it's non-negative, thus the right hand side (−36/m) also must be non-negative, which means that m must be negative. Now, if m is negative, then |m| = -m, so we'd have -m = -36/m, which gives m = -6. Sufficient.

(2) 2m+2|m| = 0. This transforms to |m| = -m, which implies only that m is negative or 0. Not sufficient.

Answer: A.
_________________
Senior Manager
Senior Manager
User avatar
G
Joined: 06 Jul 2016
Posts: 360
Location: Singapore
Concentration: Strategy, Finance
GMAT ToolKit User
What is the value of m?  [#permalink]

Show Tags

New post 09 Aug 2017, 05:07
nechets wrote:
What is the value of m?

(1) |m| = −36/m
(2) 2m+2|m| = 0


1) |m| = \(\frac{-36}{m}\)
=> m < 0 (because |m| will always be positive => to make the right hand side positive, we would require m < 0)
=> m = -6
Sufficient.

2) 2m + 2|m| = 0
=> m < 0
BUT, any value of M <= 0 will be sufficient for this equation
=> m =0, -1, -2,....
Insufficient.

A is the answer.
_________________
Put in the work, and that dream score is yours!
VP
VP
avatar
G
Joined: 09 Mar 2018
Posts: 1002
Location: India
Re: What is the value of m?  [#permalink]

Show Tags

New post 05 Feb 2019, 04:30
nechets wrote:
What is the value of m?

(1) |m| = −36/m

(2) 2m+2|m| = 0


Great question, m can be anything from integers to fractions

from 1 |m| = −36/m

for LHS = RHS
m = -6

(2) 2m+2|m| = 0

m = -1/2 or -1

A
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
GMAT Club Bot
Re: What is the value of m?   [#permalink] 05 Feb 2019, 04:30
Display posts from previous: Sort by

What is the value of m?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





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