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

It is currently 17 Jul 2019, 13:41

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 x is a negative integer and 2 < x^2 < 36, what is the least possibl

  new topic 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: 56277
If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

Show Tags

New post 23 Apr 2018, 23:48
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

76% (01:12) correct 24% (01:23) wrong based on 283 sessions

HideShow timer Statistics


Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56277
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

Show Tags

New post 04 Jul 2019, 06:57
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION:



If x is a negative integer and 2 < x^2 < 36, what is the least possible value of |2x + 11| ?

A. 7
B. 5
C. 3
D. 1
E. 0


OFFICIAL EXPLANATION:



If \(x\) is a negative integer and \(2 < x^2 < 36\), what is the least possible value of \(|2x + 11|\)?

A. 7
B. 5
C. 3
D. 1
E. 0


Notice that we are told that \(x\) is a negative integer. Thus \(x\) can be -2, -3, -4, or -5. The least value of \(|2x + 11|\) for those values of \(x\) is 1, when \(x=-5\).

If we were not told that \(x\) is a negative integer, then the least value will obviously be 0, for \(x=-5.5\).


Answer: D
_________________
General Discussion
Manager
Manager
User avatar
S
Joined: 05 Dec 2017
Posts: 53
Location: India
Concentration: Finance, International Business
WE: Analyst (Commercial Banking)
GMAT ToolKit User
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

Show Tags

New post 24 Apr 2018, 02:53
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION:



If x is a negative integer and 2 < x^2 < 36, what is the lest possible value of |2x + 11| ?

A. 7
B. 5
C. 3
D. 1
E. 0


Least possible value of a mod function is 0

Here 0 can be attained by 2x+11 = 0 or x = -5.5, now since x^2 <36, x can't be -6

Hence at x = -5; the value of the function is |-10+11| = 1

Hence D
SVP
SVP
User avatar
V
Joined: 26 Mar 2013
Posts: 2283
Reviews Badge CAT Tests
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

Show Tags

New post 25 Apr 2018, 14:59
1
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION:



If x is a negative integer and 2 < x^2 < 36, what is the lest possible value of |2x + 11| ?

A. 7
B. 5
C. 3
D. 1
E. 0


\(2 < x^2 < 36\)

X is negative integer, then \(-6 < x <-\) \(\sqrt{2}\).........It is nice to know \(\sqrt{2}=1.4\)

Then \(-6 < x <-1.4\)... x could be -5, -4, -3, -2......To make least, we need to take +11 down.......So least negative number -5

|2x + 11| = |2*-5 + 11| = |-10 + 11| = 1

Answer: D

Bunuel

Do you add any fresh GMAT Club tests question to the bank of the questions itself directly? or just post here in the forum?
Intern
Intern
avatar
B
Joined: 01 Apr 2012
Posts: 16
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

Show Tags

New post 26 Apr 2018, 00:03
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION:



If x is a negative integer and 2 < x^2 < 36, what is the lest possible value of |2x + 11| ?

A. 7
B. 5
C. 3
D. 1
E. 0



Given that x is a negative integer and and 2<x^2<36
so the values the X can take that satisfy this condition are -2, -3, -4,-5 i.e 2< (-2)^2 < 36 ; similarly for others
Substituting the values of -2, -3, -4 and -5 in |2x+11|
The lowest number would be when |2(-5) + 11| = 1
Hence D
Intern
Intern
User avatar
B
Joined: 18 Apr 2017
Posts: 15
Location: Brazil
WE: Corporate Finance (Energy and Utilities)
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

Show Tags

New post 04 May 2018, 18:27
So, we are given that x is negative, and that square of x is between 2 and 36. That takes us to some possible values of x, such as -2,-3,-4,-5.
In order to minimize the modulus |2x+11| output, we need to maximize the negative value inside the modulus. That said, the biggest value of x inside the modulus would be -5.

In algebra...
x = -5
|2x+11| =?

|2*(-5)+11| = |-10+11| = 1
Director
Director
avatar
P
Joined: 02 Oct 2017
Posts: 727
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

Show Tags

New post 10 May 2018, 03:06
2<x^2<36
X can be -2,-3,-4,-5

We need to make |2x+11| as minimum , it's minimum value is zero
For zero x need to be -5.5 which is not possible as his negative integer

Then plugging values of -2,-3,-4,-5

We get minimum value as 1 for x=-5

Posted from my mobile device
_________________
Give kudos if you like the post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56277
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

Show Tags

New post 24 Dec 2018, 04:42
GMAT Club Bot
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl   [#permalink] 24 Dec 2018, 04:42
Display posts from previous: Sort by

If x is a negative integer and 2 < x^2 < 36, what is the least possibl

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





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