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

It is currently 17 Nov 2018, 19:58

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
  • FREE Quant Workshop by e-GMAT!

     November 18, 2018

     November 18, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score. November 18th, 7 AM PST
  • How to QUICKLY Solve GMAT Questions - GMAT Club Chat

     November 20, 2018

     November 20, 2018

     09:00 AM PST

     10:00 AM PST

    The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.

Which of the following inequalities holds if 3.24<x<5.36?

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

Hide Tags

Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6517
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Which of the following inequalities holds if 3.24<x<5.36?  [#permalink]

Show Tags

New post 08 Feb 2018, 00:13
2
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (01:26) correct 18% (01:10) wrong based on 103 sessions

HideShow timer Statistics

[GMAT math practice question]

Which of the following inequalities holds if \(3.24<x<5.36\)?

\(A. |x+4.3|<1.06\)
\(B. |x-4.3|<1.06\)
\(C. |x-2.1|<0.53\)
\(D. |x+2.1|<0.53\)
\(E. |x-2.1|<1.06\)

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

examPAL Representative
User avatar
G
Joined: 07 Dec 2017
Posts: 799
Re: Which of the following inequalities holds if 3.24<x<5.36?  [#permalink]

Show Tags

New post 08 Feb 2018, 03:22
2
MathRevolution wrote:
[GMAT math practice question]

Which of the following inequalities holds if \(3.24<x<5.36\)?

\(A. |x+4.3|<1.06\)
\(B. |x-4.3|<1.06\)
\(C. |x-2.1|<0.53\)
\(D. |x+2.1|<0.53\)
\(E. |x-2.1|<1.06\)


As the question ask about the range for which an inequality is true, we'll test the extreme values.
This is a Logical approach.

(A) If x = 3.24 then |x + 4.3| is larger than 7, so it is definitely larger than 1.06.
Eliminated.
(B) If x = 3.24 then |x - 4.3| is exactly 1.06 so x > 3.24, means |x - 4.3| < 1.06
Let's try the other extreme: If x = 5.36 then |x - 4.3| is exactly 1.06 so x < 5.36, means |x - 4.3| < 1.06
We have our answer!

(B) is our answer.
_________________

Image
Sign up for 7-day free trial
Image

I am a CR Expert - Ask Me ANYTHING about CR
I am a DS Expert - Ask Me ANYTHING about DS


Halloween SALE at exmaPAL!

Save 25% on any GMAT/GRE course! Claim it today.

PS Forum Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge
Re: Which of the following inequalities holds if 3.24<x<5.36?  [#permalink]

Show Tags

New post 08 Feb 2018, 08:36
MathRevolution wrote:
[GMAT math practice question]

Which of the following inequalities holds if \(3.24<x<5.36\)?

\(A. |x+4.3|<1.06\)
\(B. |x-4.3|<1.06\)
\(C. |x-2.1|<0.53\)
\(D. |x+2.1|<0.53\)
\(E. |x-2.1|<1.06\)


as \(x\) is a positive number greater than \(3.24\), so adding any positive number will further increase the value. Hence options A & D can be eliminated because adding positive number to \(x\) will not yield a positive number lower than \(3.24\)

Option C & E have same LHS

we have \(x>3.24\) subtract \(2.1\) from both sides to get

\(x-2.1>3.24-2.1 => x-2.1>1.14\)

so \(|x-2.1|\) can never be less than \(0.53\) or \(1.06\), hence eliminate option C & E

Option B
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7036
Re: Which of the following inequalities holds if 3.24<x<5.36?  [#permalink]

Show Tags

New post 08 Feb 2018, 09:01
MathRevolution wrote:
[GMAT math practice question]

Which of the following inequalities holds if \(3.24<x<5.36\)?

\(A. |x+4.3|<1.06\)
\(B. |x-4.3|<1.06\)
\(C. |x-2.1|<0.53\)
\(D. |x+2.1|<0.53\)
\(E. |x-2.1|<1.06\)



Hi...
Modulus does not mean anything except at B..
Others can be taken as normal equation..

One way will be to take 4 or 5 as the value..
Only B.. x-4.3 that is 5-4.3=0.7<1.6 stands

The choices itself give you answer..
X is positive, so when you add something POSITIVE to it, the value has >that POSITIVE value..
So x+4.3<1.06 and X+2.1<0.53 can be discarded.
In all choices, x-4.3 is the smallest as we are subtracting max amount of 4.3 from a positive value x..
So if any other choice matches, even x-4.3 will be true..but we can't have two Answers..
So ans x-4.3
_________________

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

Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6517
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: Which of the following inequalities holds if 3.24<x<5.36?  [#permalink]

Show Tags

New post 11 Feb 2018, 16:59
=>

The inequality \(|x-a|<b\) is equivalent to the inequality \(a - b < x < a + b.\)
Note that a is the average of \(a – b\) and \(a + b\) and \(b\) is half of the difference between \(a – b\) and \(a + b\),
that is, \(b = \frac{{( a + b ) – ( a – b )}}{2}.\)

Thus, the inequality \(3.24 < x < 5.36\) is equivalent to the inequality \(| x – 4.3 | < 1.06\) since \(a = \frac{( 3.24 + 5.36 )}{2} = \frac{8.6}{2} = 4.3\) and \(b = \frac{( 5.36 – 3.24 )}{2} =\frac{2.12}{2} = 1.06.\)

Therefore, B is the answer.
Answer: B
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

GMAT Club Bot
Re: Which of the following inequalities holds if 3.24<x<5.36? &nbs [#permalink] 11 Feb 2018, 16:59
Display posts from previous: Sort by

Which of the following inequalities holds if 3.24<x<5.36?

  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®.