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

It is currently 15 Dec 2018, 13:39

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • $450 Tuition Credit & Official CAT Packs FREE

     December 15, 2018

     December 15, 2018

     10:00 PM PST

     11:00 PM PST

    Get the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

Is x > 0 ? (1) |x - 3| < 5 (2) |x + 2| > 5

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51218
Is x > 0 ? (1) |x - 3| < 5 (2) |x + 2| > 5  [#permalink]

Show Tags

New post 28 Nov 2017, 04:12
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

53% (01:41) correct 47% (01:41) wrong based on 105 sessions

HideShow timer Statistics

Director
Director
User avatar
P
Joined: 09 Mar 2017
Posts: 524
Location: India
Concentration: Marketing, Organizational Behavior
WE: Information Technology (Computer Software)
CAT Tests
Is x > 0 ? (1) |x - 3| < 5 (2) |x + 2| > 5  [#permalink]

Show Tags

New post Updated on: 28 Nov 2017, 05:29
1
1
Bunuel wrote:
Is x > 0 ?

(1) |x - 3| < 5

(2) |x + 2| > 5


imo C.
Question: is x positive?
1.
|x - 3| - 5 < 0
-2<x<8
Insufficient

2. |x + 2| > 5
|x + 2| - 5 > 0
x<-7 and x>3
insufficient

combining:
overlap region: 3<x<8
yes x is positive.
_________________

------------------------------
"Trust the timing of your life"
Hit Kudus if this has helped you get closer to your goal, and also to assist others save time. Tq :)


Originally posted by TaN1213 on 28 Nov 2017, 04:43.
Last edited by TaN1213 on 28 Nov 2017, 05:29, edited 1 time in total.
Director
Director
User avatar
V
Joined: 06 Jan 2015
Posts: 529
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Premium Member
Re: Is x > 0 ? (1) |x - 3| < 5 (2) |x + 2| > 5  [#permalink]

Show Tags

New post 28 Nov 2017, 04:44
Bunuel wrote:
Is x > 0 ?

(1) |x - 3| < 5

(2) |x + 2| > 5


HI chetan2u,

(1) |x - 3| < 5

x=5 gives Yes x>0

x=-1 gives No x<0

(2) |x + 2| > 5

x=5 gives Yes x>0

x=-8 gives No x<0

Combining both gives x>0

Hence C

Is it correct? Where am I going wrong?
_________________

आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7107
Is x > 0 ? (1) |x - 3| < 5 (2) |x + 2| > 5  [#permalink]

Show Tags

New post 28 Nov 2017, 05:15
2
NandishSS wrote:
Bunuel wrote:
Is x > 0 ?

(1) |x - 3| < 5

(2) |x + 2| > 5


HI chetan2u,

(1) |x - 3| < 5

x=5 gives Yes x>0

x=-1 gives No x<0

(2) |x + 2| > 5

x=5 gives Yes x>0

x=-8 gives No x<0

Combining both gives x>0

Hence C

Is it correct? Where am I going wrong?


Yes, you are correct, but testing numbers may not get you correct always.

So let's see how do you do this..

1) |x-3|<5
Two areas..
x-3 is positive.....x-3<5....x<8
x-3 is NEGATIVE....-(x-3)<5....x-3>-5....x>-2.
Range -2<x<8
Insufficient

2) |x+2|>5
Again two cases as above
x+2>5....x>3
x+2<-5....x<-7....
(This is where you have gone wrong @TaN1213)
Insufficient

Combined..
In NEGATIVE, the two ranges are x>-2 and x<-7... Nothing in common
In POSITIVE, x>3 and x<8.... Common range 3< x<8
So sufficient
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Director
Director
User avatar
V
Joined: 06 Jan 2015
Posts: 529
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Premium Member
Re: Is x > 0 ? (1) |x - 3| < 5 (2) |x + 2| > 5  [#permalink]

Show Tags

New post 28 Nov 2017, 05:20
chetan2u wrote:
NandishSS wrote:
Bunuel wrote:
Is x > 0 ?

(1) |x - 3| < 5

(2) |x + 2| > 5


HI chetan2u,

(1) |x - 3| < 5

x=5 gives Yes x>0

x=-1 gives No x<0

(2) |x + 2| > 5

x=5 gives Yes x>0

x=-8 gives No x<0

Combining both gives x>0

Hence C

Is it correct? Where am I going wrong?


Yes, you are correct, but testing numbers may not get you correct always.

So let's see how do you do this..

1) |x-3|<5
Two areas..
x-3 is positive.....x-3<5....x<8
x-3 is NEGATIVE....-(x-3)<5....x-3>-5....x>-2.
Range -2<x<8
Insufficient

2) |x+2|>5
Again two cases as above
x+2>5....x>3
x+2<-5....x<-7....
(This is where you have gone wrong @TaN1213)
Insufficient

Combined..
In NEGATIVE, the two ranges are x>-2 and x<-7... Nothing in common
In POSITIVE, x>3 and x<8.... Common range 3< x<8
So sufficient


This Looks good :thumbup: Sirji :-)
_________________

आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Director
Director
User avatar
P
Joined: 09 Mar 2017
Posts: 524
Location: India
Concentration: Marketing, Organizational Behavior
WE: Information Technology (Computer Software)
CAT Tests
Is x > 0 ? (1) |x - 3| < 5 (2) |x + 2| > 5  [#permalink]

Show Tags

New post 28 Nov 2017, 05:25
chetan2u wrote:
NandishSS wrote:
Bunuel wrote:
Is x > 0 ?

(1) |x - 3| < 5

(2) |x + 2| > 5


HI chetan2u,

(1) |x - 3| < 5

x=5 gives Yes x>0

x=-1 gives No x<0

(2) |x + 2| > 5

x=5 gives Yes x>0

x=-8 gives No x<0

Combining both gives x>0

Hence C

Is it correct? Where am I going wrong?


Yes, you are correct, but testing numbers may not get you correct always.

So let's see how do you do this..

1) |x-3|<5
Two areas..
x-3 is positive.....x-3<5....x<8
x-3 is NEGATIVE....-(x-3)<5....x-3>-5....x>-2.
Range -2<x<8
Insufficient

2) |x+2|>5
Again two cases as above
x+2>5....x>3
x+2<-5....x<-7....
(This is where you have gone wrong @TaN1213)
Insufficient

Combined..
In NEGATIVE, the two ranges are x>-2 and x<-7... Nothing in common
In POSITIVE, x>3 and x<8.... Common range 3< x<8
So sufficient


Thanks Chetan. I just re-did the sum and got it right this time. Wondering what was I thinking. Thank God this is a DS problem. :)
I will be editing the post.
_________________

------------------------------
"Trust the timing of your life"
Hit Kudus if this has helped you get closer to your goal, and also to assist others save time. Tq :)

Intern
Intern
avatar
S
Joined: 30 Sep 2017
Posts: 38
Location: India
Concentration: Entrepreneurship, General Management
Schools: IIM Udaipur '17
GMAT 1: 700 Q50 V37
GPA: 3.7
WE: Engineering (Energy and Utilities)
GMAT ToolKit User
Re: Is x > 0 ? (1) |x - 3| < 5 (2) |x + 2| > 5  [#permalink]

Show Tags

New post 28 Nov 2017, 06:27
Graphical approach to this question...

Provide kudos if u like my approach

NandishSS wrote:
Bunuel wrote:
Is x > 0 ?

(1) |x - 3| < 5

(2) |x + 2| > 5



HI chetan2u,

(1) |x - 3| < 5

x=5 gives Yes x>0

x=-1 gives No x<0

(2) |x + 2| > 5

x=5 gives Yes x>0

x=-8 gives No x<0

Combining both gives x>0

Hence C

Is it correct? Where am I going wrong?

Attachments

24169582_10156971957128289_533371546_o.jpg
24169582_10156971957128289_533371546_o.jpg [ 106.12 KiB | Viewed 815 times ]


_________________

If you like my post, motivate me by giving kudos...

GMAT Club Bot
Re: Is x > 0 ? (1) |x - 3| < 5 (2) |x + 2| > 5 &nbs [#permalink] 28 Nov 2017, 06:27
Display posts from previous: Sort by

Is x > 0 ? (1) |x - 3| < 5 (2) |x + 2| > 5

  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®.