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

It is currently 22 Apr 2019, 08:02

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 x > y and a > b, which of the following must be true?

  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: 54434
If x > y and a > b, which of the following must be true?  [#permalink]

Show Tags

New post 08 Jul 2017, 05:21
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

97% (00:41) correct 3% (00:25) wrong based on 98 sessions

HideShow timer Statistics

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3386
Location: India
GPA: 3.12
Re: If x > y and a > b, which of the following must be true?  [#permalink]

Show Tags

New post 08 Jul 2017, 05:27
1
Bunuel wrote:
If x > y and a > b, which of the following must be true?


A. x > a

B. a > b

C. x + b > y + a

D. x + a > y + b

E. a + b > x + y


Bunuel, I think there is a mistake with the choice B.
_________________
You've got what it takes, but it will take everything you've got
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54434
Re: If x > y and a > b, which of the following must be true?  [#permalink]

Show Tags

New post 08 Jul 2017, 05:31
Manager
Manager
avatar
B
Joined: 11 Feb 2017
Posts: 188
Re: If x > y and a > b, which of the following must be true?  [#permalink]

Show Tags

New post 08 Jul 2017, 05:37
Bunuel wrote:
If x > y and a > b, which of the following must be true?


A. x > a

B. y > b

C. x + b > y + a

D. x + a > y + b

E. a + b > x + y



Its D becoz it satisfies both integer and fractional values


Its D
Current Student
User avatar
P
Joined: 18 Aug 2016
Posts: 619
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Reviews Badge
Re: If x > y and a > b, which of the following must be true?  [#permalink]

Show Tags

New post 08 Jul 2017, 05:37
Bunuel wrote:
If x > y and a > b, which of the following must be true?


A. x > a

B. y > b

C. x + b > y + a

D. x + a > y + b

E. a + b > x + y


I will go with D

x>y & a>b

All other options are wrong and D makes sense

A Wrong as per the information given
B Wrong as per the information given
C What if x= 4, y=3 & a=-1 and b=-7
D Hold
E What if x=4, y=3 & a=-1 and b=-7
_________________
We must try to achieve the best within us


Thanks
Luckisnoexcuse
SVP
SVP
User avatar
V
Joined: 26 Mar 2013
Posts: 2137
Reviews Badge CAT Tests
Re: If x > y and a > b, which of the following must be true?  [#permalink]

Show Tags

New post 09 Jul 2017, 01:10
Bunuel wrote:
If x > y and a > b, which of the following must be true?


A. x > a

B. y > b

C. x + b > y + a

D.

E. a + b > x + y



2 inequalities in same direction then we can sum them up

x + a > y + b

Answer: D
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3386
Location: India
GPA: 3.12
If x > y and a > b, which of the following must be true?  [#permalink]

Show Tags

New post 09 Jul 2017, 01:43
When there is an inequality like x>y, then we can clearly say that x-y > 0
Similarly for the other inequality a>b, we can say the same a-b > 0

Hence, we can come to the conclusion that x+a - (y+b) > 0

This will give x+a > y+b(Option D)

_________________
You've got what it takes, but it will take everything you've got
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3588
Location: Canada
Re: If x > y and a > b, which of the following must be true?  [#permalink]

Show Tags

New post 09 Jul 2017, 05:10
Top Contributor
1
Bunuel wrote:
If x > y and a > b, which of the following must be true?


A. x > a

B. y > b

C. x + b > y + a

D. x + a > y + b

E. a + b > x + y


Important Rule: if two inequalities have inequality symbols facing the same direction, we can add the inequalities

For example: 4 < 7 and 1 < 10
So, we can add them to get: 4 + 1 < 7 + 10

Since x > y and a > b have inequality symbols facing the same direction, we can add the inequalities to get: x + a > y + b

Answer: D

RELATED VIDEO

_________________
Test confidently with gmatprepnow.com
Image
Director
Director
avatar
S
Joined: 21 Mar 2016
Posts: 519
Reviews Badge
Re: If x > y and a > b, which of the following must be true?  [#permalink]

Show Tags

New post 09 Jul 2017, 08:01
when the inequalities are in the same direction, we can add it up

hence x+a > y +b

ans D
GMAT Club Bot
Re: If x > y and a > b, which of the following must be true?   [#permalink] 09 Jul 2017, 08:01
Display posts from previous: Sort by

If x > y and a > b, which of the following must be true?

  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®.