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

 It is currently 17 Jan 2019, 11:28

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

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.

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52231
If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

### Show Tags

23 Apr 2018, 22:48
00:00

Difficulty:

15% (low)

Question Stats:

78% (00:51) correct 22% (00:53) wrong based on 257 sessions

### HideShow timer Statistics

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

_________________
Manager
Joined: 17 Jan 2017
Posts: 61
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

### Show Tags

23 Apr 2018, 23:21
What am I missing here?
Since x is a neg integer, possible values for x are: -2,-3,-4,-5
Least value for |2x - 11|: |2*(-2) - 11|= 15

DavidTutorexamPAL , where did your post go? :D
examPAL Representative
Joined: 07 Dec 2017
Posts: 868
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

### Show Tags

Updated on: 23 Apr 2018, 23:36
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

Bunuel
Given that x is negative, 2x is negative and |2x - 11| is larger than 11...
Is there an error in the question?

EDIT:

As we're asked for the least possible value, we'll start from the smallest answer and work our way up.
This is an Alternative approach.

If (E) were true, than |2x + 11| = 0 meaning that 2x = -11 --> x is not a negative integer.
If (D) were true, than |2x + 11| = 1 meaning that 2x = 1+11 = 12 --> x is not negative or 2x = 1 - 11 = -10 and x = -5.
In this case x^2 = 25 so 2 < x^2 < 36 as required.

_________________

Originally posted by DavidTutorexamPAL on 23 Apr 2018, 23:24.
Last edited by DavidTutorexamPAL on 23 Apr 2018, 23:36, edited 1 time in total.
examPAL Representative
Joined: 07 Dec 2017
Posts: 868
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

### Show Tags

23 Apr 2018, 23:25
benejo wrote:
What am I missing here?
Since x is a neg integer, possible values for x are: -2,-3,-4,-5
Least value for |2x - 11|: |2*(-2) - 11|= 15

DavidTutorexamPAL , where did your post go? :D

I posted before finishing to write by accident...
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 52231
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

### Show Tags

23 Apr 2018, 23:29
DavidTutorexamPAL wrote:
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

Bunuel
Given that x is negative, 2x is negative and |2x - 11| is larger than 11...
Is there an error in the question?

Yes, sorry about that. It's |2x + 11|, not |2x - 11|. Edited. Thank you.
_________________
Manager
Joined: 05 Dec 2017
Posts: 52
Location: India
WE: Analyst (Commercial Banking)
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

### Show Tags

24 Apr 2018, 01:53
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
Joined: 26 Mar 2013
Posts: 1998
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

### Show Tags

25 Apr 2018, 13:59
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

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
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

25 Apr 2018, 23:03
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
Joined: 18 Apr 2017
Posts: 16
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

04 May 2018, 17:27
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
Joined: 02 Oct 2017
Posts: 735
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

### Show Tags

10 May 2018, 02:06
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
Joined: 02 Sep 2009
Posts: 52231
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

### Show Tags

24 Dec 2018, 03:42
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

_________________
Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl &nbs [#permalink] 24 Dec 2018, 03:42
Display posts from previous: Sort by