NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 14:38 It is currently 26 Apr 2024, 14:38
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If a+b=200 and a<b , is a+b>c+d ? (1) c+d<200 (2)

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
kostyan5
Manager
Manager
Joined: 29 Oct 2011
Posts: 115
Own Kudos [?]: 349 [30]
Given Kudos: 19
Concentration: General Management, Technology
Schools: Sloan '16 (D)
GMAT 1: 760 Q49 V44
GPA: 3.76
Send PM
If a+b=200 and a<b , is a+b>c+d ? (1) c+d<200 (2) [#permalink] New post   08 Nov 2011, 19:49
2
Kudos
28
Bookmarks
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

72% (01:44) correct 28% (01:46) wrong based on 693 sessions
Hide Show timer Statistics
If \(a+b=200\) and \(a<b\), is \(a+b>c+d\)?

(1) \(c+d<200\)
(2) \(b+c+d=300\)
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
L
GyanOne
CEO
CEO
Joined: 24 Jul 2011
Status: World Rank #4 MBA Admissions Consultant
Posts: 3187
Own Kudos [?]: 1585 [6]
Given Kudos: 33
GMAT 1: 780 Q51 V48
GRE 1: Q170 V170
Send PM
Re: Is (a+b) > (c+d) [#permalink] New post   08 Nov 2011, 23:39
2
Kudos
4
Bookmarks
Expert Reply
Statement 1: If a+b=200 and c+d<200, then a+b>c+d. Sufficient.
Statement 2: If a+b = 200 and a<b => b>100. Therefore if b+c+d = 300 => c+d <200 which translates into the same case as in statement 1. Sufficient.

(D) is the answer.
General Discussion
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4690 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: If a+b=200 and a<b , is a+b>c+d ? (1) c+d<200 (2) [#permalink] New post   27 Nov 2016, 14:10
kostyan5 wrote:
If \(a+b=200\) and \(a<b\), is \(a+b>c+d\)?

(1) \(c+d<200\)
(2) \(b+c+d=300\)


\(a+b=200\) and \(a<b\)

Thus, \(a + b < 2b\)

Or, \(200 < 2b\)

Or, \(b > 100\)

FROM STATEMENT - I ( SUFFICIENT )

Given , \(a+b=200\) & \(c+d<200\)

Thus, we can safely conclude - \(a+b>c+d\)

FROM STATEMENT - II ( SUFFICIENT )

I will try to plug in some value and check here, \(a+b=200\) & \(b > 100\)

Say \(b = 110\) & \(a = 90\)

Given, \(b+c+d=300\) , if \(b = 110\) , \(c + d = 190\)

It is given, \(a+b=200\) & we have \(c + d = 190\)

So, we can safely conclude here as well that \(a+b>c+d\)

Thus, EACH statement ALONE is sufficient to answer the question asked, answer will be (D)
User avatar
L
arvind910619
Director
Director
Joined: 20 Dec 2015
Status:Learning
Posts: 876
Own Kudos [?]: 566 [1]
Given Kudos: 755
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE:Engineering (Manufacturing)
Send PM
Reviews Badge
Re: If a+b=200 and a<b , is a+b>c+d ? (1) c+d<200 (2) [#permalink] New post   26 Jul 2018, 05:49
1
Kudos
kostyan5 wrote:
If \(a+b=200\) and \(a<b\), is \(a+b>c+d\)?

(1) \(c+d<200\)
(2) \(b+c+d=300\)


Imo D

From 1 we have \(c+d<200\) sufficient.

From 2 we have b+c+d=300
Now add a to both sides then a+b+c+d=300+a
a+b=200 so above equation becomes 200+c+d=300+a
solving this we have c+d=100+a
From the question stem we have a<b then suppose a=99 and b=101 then above equation becomes
c+d=100+99=199 still less than 200 so it is sufficient.
User avatar
S
gurmukh
Senior Manager
Senior Manager
Joined: 18 Dec 2017
Posts: 270
Own Kudos [?]: 203 [0]
Given Kudos: 20
Send PM
Re: If a+b=200 and a<b , is a+b>c+d ? (1) c+d<200 (2) [#permalink] New post   19 Apr 2020, 05:43
First statement is sufficient because c+d is greater than 200
Second statement
Let's take least value of b as 101 because b is greater then a.
c+d is less than 200. Even if we least value of b in decimal then also c+d will be less than 200. Sufficient.
Answer is option D

Posted from my mobile device
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32689
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: If a+b=200 and a<b , is a+b>c+d ? (1) c+d<200 (2) [#permalink] New post   16 Nov 2023, 11:37
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: If a+b=200 and a<b , is a+b>c+d ? (1) c+d<200 (2) [#permalink]
16 Nov 2023, 11:37
Moderator:
Bunuel
Math Expert
92948 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions