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

It is currently 20 Sep 2018, 23:09

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 a>b and c<d , which of the following MUST be true?

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

Hide Tags

Manager
Manager
User avatar
S
Joined: 31 Aug 2016
Posts: 105
Location: India
Concentration: Finance, General Management
GMAT 1: 680 Q49 V33
GPA: 2.81
Premium Member Reviews Badge CAT Tests
If a>b and c<d , which of the following MUST be true?  [#permalink]

Show Tags

New post 08 Sep 2018, 09:18
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

41% (01:18) correct 59% (01:01) wrong based on 39 sessions

HideShow timer Statistics

If \(a>b\) and \(c<d\), which of the following MUST be true?

A. \(a−d>c−b\)
B. \(a+d>b\)
C. \(b+c>a−d\)
D. \(b−d<a−c\)
E. \(a^2+d^2>b^2+c^2\)

_________________

Resources
GMATNinja Webinars
GMATNinja Chats

Quant
Mixtures

Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 851
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
Re: If a>b and c<d , which of the following MUST be true?  [#permalink]

Show Tags

New post 08 Sep 2018, 10:32
1
PeepalTree wrote:
If\(a>b\) and \(c<d\), which of the following MUST be true?

A. \(a−d>c−b\)
B. \(a+d>b\)
C. \(b+c>a−d\)
D. \(b−d<a−c\)
E. \(a^2+d^2>b^2+c^2\)


Note:- You can only apply subtraction when the inequality signs are in the opposite directions. (take the sign of the inequality you subtract from)
We can write \(a>b\) as \(b<a\)----(1)
Also, we can write \(c<d\) as \(d>c\) ---------(2)
Since (1) and (2) bear opposite sign of inequality, hence we can subtract (2) from (1),
\(b-d < a-c\)

Ans. (D)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Ask GMAT Experts Forum Moderator
User avatar
V
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 927
Location: India
GPA: 3.64
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: If a>b and c<d , which of the following MUST be true?  [#permalink]

Show Tags

New post 08 Sep 2018, 10:45
PeepalTree wrote:
If\(a>b\) and \(c<d\), which of the following MUST be true?

A. \(a−d>c−b\)
B. \(a+d>b\)
C. \(b+c>a−d\)
D. \(b−d<a−c\)
E. \(a^2+d^2>b^2+c^2\)


a>b and d>c
We can add the inequalities in same direction
a+d>b+c
Checking the options
Answer choice D is the same as above
b-d<a-c
OR a+d>b+c
Answer D.
_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

Manager
Manager
avatar
B
Joined: 14 Jun 2018
Posts: 62
Re: If a>b and c<d , which of the following MUST be true?  [#permalink]

Show Tags

New post 08 Sep 2018, 11:37
Popular choice seems to be option E. It would've been correct if the question stated that they are positive integers.

a = -2 , b = -5 , c = 4 , d = 5. Option E will fail.
Re: If a>b and c<d , which of the following MUST be true? &nbs [#permalink] 08 Sep 2018, 11:37
Display posts from previous: Sort by

If a>b and c<d , which of the following MUST be true?

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

Events & Promotions

PREV
NEXT


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®.