by: Bunuel
23 mins
by: Bunuel
23 mins
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
55% (01:58) correct
45%
(01:56)
wrong
based on 128
sessions
History
Date
Time
Result
Not Attempted Yet
Is c > 2 if a + b + c > 0 ?
(1) c > a + b + 2
(2) a + b + 2 < 0
Kudos for a correct solution.
_________________
(1) c > a + b + 2
(2) a + b + 2 < 0
Kudos for a correct solution.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
https://gmatclub.com/forum/data-sufficiency-ds-141/
https://gmatclub.com/forum/data-sufficiency-ds-141/
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
goldfinchmonster
Joined: 13 Apr 2015
Last visit: 13 Jan 2020
Posts: 58
Concentration: General Management, Strategy
Schools: Jenkins FT'18 (S) Desautels '18 UConn FT "18 Iowa State '18 Haskayne(Calgary) Alberta'18 DeGroote (II)
GMAT 1: 620 Q47 V28
GPA: 3.25
WE:Project Management (Energy)
Schools: Jenkins FT'18 (S) Desautels '18 UConn FT "18 Iowa State '18 Haskayne(Calgary) Alberta'18 DeGroote (II)
GMAT 1: 620 Q47 V28
Posts: 58
Ans:B.
1. a + b + c > 0 .... Eq 1 (Given)
a) - a - b + c > 2 .... Eq 2,
Add Eq 1 & Eq 2 => C > 1
Not sufficient.
b) - a - b > 2 .... Eq 3
Add eq 1 & eq 3... => C > 2.
Sufficient.
1. a + b + c > 0 .... Eq 1 (Given)
a) - a - b + c > 2 .... Eq 2,
Add Eq 1 & Eq 2 => C > 1
Not sufficient.
b) - a - b > 2 .... Eq 3
Add eq 1 & eq 3... => C > 2.
Sufficient.
TheKingInTheNorth
Joined: 13 Mar 2013
Last visit: 03 May 2019
Posts: 132
Location: United States
Concentration: Leadership, Technology
GPA: 3.5
WE:Engineering (Telecommunications)
Posts: 132
Is c > 2 if a + b + c > 0 ?
(1) c > a + b + 2
(2) a + b + 2 < 0
statement 1
a + b + c > 0 ----1
c > a + b + 2
c-a-b >2----2
adding 1 and 2
we get c>1 not sufficient
statement 2
a + b + 2 < 0
and a + b + c > 0 --- we subtract both of the inequality
to get c>2
B sufficient
Ans B
_________________
(1) c > a + b + 2
(2) a + b + 2 < 0
statement 1
a + b + c > 0 ----1
c > a + b + 2
c-a-b >2----2
adding 1 and 2
we get c>1 not sufficient
statement 2
a + b + 2 < 0
and a + b + c > 0 --- we subtract both of the inequality
to get c>2
B sufficient
Ans B
_________________
Regards ,
GMAT 1: 760 Q51 V42
Posts: 10,057
Updated on: 06 Sep 2015, 19:43
Originally posted by MathRevolution on 03 Sep 2015, 03:38.
Last edited by MathRevolution on 06 Sep 2015, 19:43, edited 1 time in total.
Last edited by MathRevolution on 06 Sep 2015, 19:43, edited 1 time in total.
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and equations ensures a solution.
Is c > 2 if a + b + c > 0 ?
(1) c > a + b + 2
(2) a + b + 2 < 0
Transforming the original condition and the question, we have c>-a-b from c>2? and thus we need to know the relation between -a-b and 2. From 2), we find that a+b<-2 and a+b+c>0, therefore -c<a+b<-2, -c<-2, c>2 thus it is sufficient, and B is the answer.
In case of 1), if c = 5 then a=b=1 and the answer is yes, but if c =2 then a=b=-0.5 and the answer is no. Thus it is not sufficient.
Is c > 2 if a + b + c > 0 ?
(1) c > a + b + 2
(2) a + b + 2 < 0
Transforming the original condition and the question, we have c>-a-b from c>2? and thus we need to know the relation between -a-b and 2. From 2), we find that a+b<-2 and a+b+c>0, therefore -c<a+b<-2, -c<-2, c>2 thus it is sufficient, and B is the answer.
In case of 1), if c = 5 then a=b=1 and the answer is yes, but if c =2 then a=b=-0.5 and the answer is no. Thus it is not sufficient.
AbdurRakib
Joined: 11 May 2014
Last visit: 03 Mar 2026
Posts: 464
Status:I don't stop when I'm Tired,I stop when I'm done
Location: Bangladesh
Concentration: Finance, Leadership
Schools: Wharton '20 Yale '20 Tepper '20
GPA: 2.81
WE:Business Development (Real Estate)
Schools: Wharton '20 Yale '20 Tepper '20
Posts: 464
In statement (1) and (2) we have a+b common and Question also have a+b
To simplify, assume a+b=x
So,the Question becomes Is c>2 if x+c>0?
Statement (1)c>x+2,Sum of x+c>0 and c>x+2 (we can sum inequalities if their signs are in the same direction):
x+c+c>0+x+2
or,c>1
Not Sufficient
Statement (2) x+2<0,Subtract x+2<0 from x+c>0 (we can subtract inequalities if their signs are in the opposite directions):
x+c-x-2>0
or, c>2
Sufficient
So the Correct Answer is B
To simplify, assume a+b=x
So,the Question becomes Is c>2 if x+c>0?
Statement (1)c>x+2,Sum of x+c>0 and c>x+2 (we can sum inequalities if their signs are in the same direction):
x+c+c>0+x+2
or,c>1
Not Sufficient
Statement (2) x+2<0,Subtract x+2<0 from x+c>0 (we can subtract inequalities if their signs are in the opposite directions):
x+c-x-2>0
or, c>2
Sufficient
So the Correct Answer is B
Posts: 94
Solution:
a+b+c > 0 ==> c > -(a+b) -->(1)
Statement1 : c > a + b + 2 --> (2)
Add (1) and (2), then 2c > 2 --> c > 1
Therefore, insufficent.
Statement2 : a + b + 2 < 0 ==> 2 < -(a+b) ==> -2 > a+b -->(3)
add (1) and (3),then c-2 > 0 ==> c > 2
Sufficient.
So, Option B
a+b+c > 0 ==> c > -(a+b) -->(1)
Statement1 : c > a + b + 2 --> (2)
Add (1) and (2), then 2c > 2 --> c > 1
Therefore, insufficent.
Statement2 : a + b + 2 < 0 ==> 2 < -(a+b) ==> -2 > a+b -->(3)
add (1) and (3),then c-2 > 0 ==> c > 2
Sufficient.
So, Option B
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
_________________
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
_________________
Solving this question helps.
Taking a timed set of similar questions in
GMAT Club Forum Quiz →
is even better.
Moderator:
Announcements
Tuck at Dartmouth
AI at Dartmouth Tuck: How the School Is Preparing Leaders for the Age of Artificial Intelligence
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Top 5 GMAT Debrief Videos
Success stories and strategies from high-scoring candidates.