November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. November 17, 2018 November 17, 2018 09:00 AM PST 11:00 AM PST Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50619

Given that A > 0 and C > 0, is (A + B)/(C + B) > A/C?
[#permalink]
Show Tags
23 Sep 2015, 02:29
Question Stats:
53% (02:01) correct 47% (01:58) wrong based on 146 sessions
HideShow timer Statistics



Manager
Joined: 10 Aug 2015
Posts: 103

Re: Given that A > 0 and C > 0, is (A + B)/(C + B) > A/C?
[#permalink]
Show Tags
Updated on: 23 Sep 2015, 13:06
Bunuel wrote: Given that A > 0 and C > 0, is (A + B) / (C + B) > A/C?
(1) B > 0
(2) A < C
Kudos for a correct solution. Solution: For problems such as this, it is sometimes better to simplify the question. (A + B) / (C + B) > A/C >(1) Subtract 1 on both sides. ==> (A  C) / (C + B) > (A  C)/C .Numerators are same . If A = C , then then (1) is always true. Else, for this to be true C+B<C ==>B<0. So we have find whether B<0. Statement1 : B>0. But we dont know whether a=c. Insufficient Statement2 : It says nothing about B. Insufficient. Combined : A != C and B>0. No. Sufficient. Option C
Originally posted by anudeep133 on 23 Sep 2015, 03:47.
Last edited by anudeep133 on 23 Sep 2015, 13:06, edited 1 time in total.



Intern
Joined: 17 Oct 2012
Posts: 3

Re: Given that A > 0 and C > 0, is (A + B)/(C + B) > A/C?
[#permalink]
Show Tags
23 Sep 2015, 12:20
@anudeep123:
A is wrong. what if a=b=c=1? Combining both, the left side is always going to be greater than A/C by 1. Correct answer is C.



Intern
Joined: 23 Sep 2015
Posts: 4

Re: Given that A > 0 and C > 0, is (A + B)/(C + B) > A/C?
[#permalink]
Show Tags
24 Sep 2015, 02:57
Since we are told that A and C are both greater than zero, that means we can freely multiply and divide these two variables in the inequality but not B since we aren't told if B is positive or negative.
With that in mind, lets play around with the question first. (A+B) A  >  (C+B) C
Since we can multiply/divide A and C around the inequality lets cross multiply
AC + AB > AC + BC
Subtract AC on both sides and we're left with "is AB > BC"
Now on to the choices
1) B>0 Insufficient since this doesn't tell us anything about C and A.
2) A<C Again, insufficient since if you consider this statement alone, we aren't told anything about the value of B. If B is positive then BC will be be greater than AB if C > A. However, if B is a negative value then BC will be less than AB if C > A
1) and 2) Sufficient. We know B is positive. This fills the gap in the second statement. If B is positive then having C > A ensure that BC > AB
So answer is C



Intern
Joined: 13 Nov 2014
Posts: 46
GMAT 1: 590 Q42 V29 GMAT 2: 630 Q47 V29

Re: Given that A > 0 and C > 0, is (A + B)/(C + B) > A/C?
[#permalink]
Show Tags
24 Sep 2015, 20:18
Additions of B in numerator and denominator can be tricky, I guess answer should be E
_________________
 Consider Cudos if you like this post. 



Manager
Joined: 13 Mar 2013
Posts: 165
Location: United States
Concentration: Leadership, Technology
GPA: 3.5
WE: Engineering (Telecommunications)

Re: Given that A > 0 and C > 0, is (A + B)/(C + B) > A/C?
[#permalink]
Show Tags
24 Sep 2015, 21:24
Given that A > 0 and C > 0, is (A + B) / (C + B) > A/C? (1) B > 0 (2) A < C st1  B is positive given also A and C are positive hence (A + B) / (C + B) > A/C We can cross multiply AC + BC > AC + AB BC > AB BC  AB > 0 B( CA) >0 already that B is >0 hence  C >A Therefore  We got the relation between c and a . Now (A + B) / (C + B) > A/C Use number any positve number that satisfy C>A and B is also positive .We will get a definitive ans . ST B . Not sufficient . NO clues given for B Hence Ans is A .
_________________
Regards ,



Math Expert
Joined: 02 Sep 2009
Posts: 50619

Re: Given that A > 0 and C > 0, is (A + B)/(C + B) > A/C?
[#permalink]
Show Tags
05 Oct 2015, 01:39
Bunuel wrote: Given that A > 0 and C > 0, is (A + B) / (C + B) > A/C?
(1) B > 0
(2) A < C
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTION:For (1), we are only given that b is a positive number. Picking values is a good strategy here. If we can choose values such that we get a “yes” and choose values so that we get a “no” then we can quickly eliminate. If a = 1 and c = 1 and b = 1, then the inequality is NOT correct. However, if a = 1 and c = 2, and b = 3, we get 4/5 > 1/2, which IS correct. (2) can be proved insufficient similarly. Combined, if b is positive and a < c, then it will continue to INCREASE the lefthand side of the inequality no matter what values we pick. The answer is (C).Remember, even the most seemingly complex Data Sufficiency questions can be overcome with solid strategy!
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Board of Directors
Joined: 17 Jul 2014
Posts: 2645
Location: United States (IL)
Concentration: Finance, Economics
GPA: 3.92
WE: General Management (Transportation)

Re: Given that A > 0 and C > 0, is (A + B)/(C + B) > A/C?
[#permalink]
Show Tags
28 Apr 2016, 18:03
Bunuel wrote: Given that A > 0 and C > 0, is (A + B) / (C + B) > A/C?
(1) B > 0
(2) A < C
Kudos for a correct solution. I solved it by remembering that if 0 < x/y < 1, then adding same positive number to the numerator and denominator, the value will increase. 1. B>0 just listed 2 possible options A=C B=2 A+2/C+2 = A/C so equal A=3 C=5 B=1 3+1/5+1 = 4/6 = 2/3 > 3/5 2 outcomes, A alone is not sufficient. 2. A<C ok, so 0<A/C<1 but what about B? if B is negative, then adding it to numerator and denominator would decrease the new fraction. clearly 2 alone is not sufficient. 1+2 A<C and B>0 sufficient.



Intern
Joined: 14 Mar 2014
Posts: 20

Re: Given that A > 0 and C > 0, is (A + B)/(C + B) > A/C?
[#permalink]
Show Tags
28 Apr 2016, 23:22
whenever we add something to numerator and denominator, percentages come into play! like if the percentage increase in Numerator is more than the percentage increase in denominator, ratio increases and vice versa. So here we are adding a number B to numerator (A) and denominator (C) but we don't know which one is larger so as know whose percentage increase is more. St1: B>0 now we know that we are adding a number and not subtracting since B is positive but we don't know whether A >C or C>B so we can't comment on the change in ratio. St2: A<C but this does not tell about B( whether we are subtracting a number or adding a number) 1 & 2 combined: now B>0 so we are adding something. and A<C so percentage change in numerator(A) would be more as compared to percentage change in denominator(C) . So the ratio will increase. Hence C. Bunuel wrote: Given that A > 0 and C > 0, is (A + B) / (C + B) > A/C?
(1) B > 0
(2) A < C
Kudos for a correct solution.



Senior Manager
Joined: 08 Dec 2015
Posts: 294

Re: Given that A > 0 and C > 0, is (A + B)/(C + B) > A/C?
[#permalink]
Show Tags
29 Jun 2016, 03:58
The first temptation is to crossmultiply the expressions, but we can't do it because we only know that A, C are positive, but we don't know the sign of B. So for start let the question stem as it is.
from 1) \(b>0\) Now we know all the signs and we can cross multiply. We get:
\(CA+CB>CA+AB\)
CA+CB>CA+AB \(CB>AB\) \(CBAB>0\) \(B(CA)>0\) Now we have that B multiplied by (CA) is positive. How can that be? only if B>0 and (CA)>0 or B<0 and (CA)<0
From the stem we are told that B>0, so the question becomes "Is (CA) positive?" From 1) we can't extract any info on CA so it's insufficient.
from 2) A<C, so 0<CA We don't know the sign of B, so we can't crossmultiply and that impairs us from working on the question. Insufficient.
1) + 2) from 1 we got our rephrased question, "Is (CA) positive?" and from 2) we get that A<C, so 0<CA and we now have enough info to answer.



NonHuman User
Joined: 09 Sep 2013
Posts: 8792

Re: Given that A > 0 and C > 0, is (A + B)/(C + B) > A/C?
[#permalink]
Show Tags
09 Apr 2018, 10:41
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 Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: Given that A > 0 and C > 0, is (A + B)/(C + B) > A/C? &nbs
[#permalink]
09 Apr 2018, 10:41






