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

It is currently 12 Nov 2018, 14:35

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
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • Essential GMAT Time-Management Hacks

     November 14, 2018

     November 14, 2018

     08:00 PM MST

     09:00 PM MST

    Join the webinar and learn time-management tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST
  • $450 Tuition Credit & Official CAT Packs FREE

     November 15, 2018

     November 15, 2018

     10:00 PM MST

     11:00 PM MST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)

Is x = 20? (1) 20 < |x + 10| < 30 (2) 10 < |x + 5| < 30

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

Hide Tags

SVP
SVP
User avatar
V
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 1790
Location: Pakistan
GPA: 3.39
Premium Member CAT Tests
Is x = 20? (1) 20 < |x + 10| < 30 (2) 10 < |x + 5| < 30  [#permalink]

Show Tags

New post Updated on: 10 Nov 2018, 21:24
1
5
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

51% (01:01) correct 49% (01:24) wrong based on 80 sessions

HideShow timer Statistics

Is x = 20?

(1) 20 < |x + 10| < 30

(2) 10 < |x + 5| < 30

Source: Experts Global
Difficulty Level: 650

_________________

Official PS Practice Questions
Press +1 Kudos if this post is helpful


Originally posted by SajjadAhmad on 13 Oct 2018, 12:08.
Last edited by SajjadAhmad on 10 Nov 2018, 21:24, edited 2 times in total.
Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 930
WE: Supply Chain Management (Energy and Utilities)
Premium Member
Re: Is x = 20? (1) 20 < |x + 10| < 30 (2) 10 < |x + 5| < 30  [#permalink]

Show Tags

New post 13 Oct 2018, 19:08
1
SajjadAhmad wrote:
Is x = 20?

(1) 20 < lx+10l < 30

(2) 10 < lx+5l < 30

EG


St1:- 20 < lx+10l < 30

You know, |x+10| is always positive. Also, (a) |x+10|=x+10 when \(x+10\geq{0}\) or, \(x\geq{-10}\) (b) |x+10|=-(x+10) when \((x+10)<{0}\) or, \(x<{-10}\)

Case-I:- When x< -10 then |x+10|=-(x+10)

We can write 20 < lx+10l < 30 =\(20<\left(-\left(x+10\right)\right)<30\)
On solving, we have, -40 < x < -30---------------(1)

Case-II:- When \(x+10\geq{0}\) then |x+10|=x+10
We can write 20 < lx+10l < 30 =20 < x+10 < 30
On solving, we have, 10<x<20------------------------(2)
From (1) & (2) , we have range of x: -40 < x < -30 or 10<x<20
Answer to question stem is NO.
Sufficient.

St2:- 10 < lx+5l < 30

Applying the same procedures as we have applied in st1, we have

-35 < x < -15 or 5 < x < 25
Question stem is inconsistent.
Insufficient.

Ans. (A)

PS:- We can solve this question using graphical method too.
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Manager
Manager
User avatar
S
Joined: 07 Aug 2018
Posts: 75
Location: Croatia (Hrvatska)
GMAT 1: 560 Q39 V28
CAT Tests
Re: Is x = 20? (1) 20 < |x + 10| < 30 (2) 10 < |x + 5| < 30  [#permalink]

Show Tags

New post 18 Oct 2018, 00:07
1
1
1
x=20?

S(1) \(20<|x+10|<30\)

Case 1: x>0

\(20<x+10<30\)
\(=10<x<20\)
We know x is not equal to 20.

Case 2: x<0

\(20<-(x+10)<30\)
\(20<-x-10<30\)
\(-30>x>-40\)
We know x is not equal to 20. SUFFICIENT!

S(2) \(10<|x+5|<30\)

Case 1: x>0

\(10<x+5<30\)
\(=5<x<25\)
x can equal 20 or any number between 5 and 25.

Case 2: x<0

\(10<-(x+5)<30\)
\(10<-x-5<30\)
\(-15>x>-35\)
We know x is not equal to 20. BUT since first case 1 gives an yes and no answer: INSUFFCIENT

Hence, A
_________________

Quantitative Megathread:https://gmatclub.com/forum/ultimate-gmat-quantitative-megathread-244512.html
Verbal Megathread:https://gmatclub.com/forum/all-you-need-for-gmat-verbal-164070.html
Flashcards Quant + Verbal:https://gmatclub.com/forum/gmat-flashcards-108651.html
Thursdays with Ron:https://gmatclub.com/forum/manhattan-s-thursdays-with-ron-consolidated-video-index-223612.html#p2138753

GMAT Club Bot
Re: Is x = 20? (1) 20 < |x + 10| < 30 (2) 10 < |x + 5| < 30 &nbs [#permalink] 18 Oct 2018, 00:07
Display posts from previous: Sort by

Is x = 20? (1) 20 < |x + 10| < 30 (2) 10 < |x + 5| < 30

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.