Author 
Message 
TAGS:

Hide Tags

Director
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 510
Location: United Kingdom
Concentration: International Business, Strategy
GPA: 2.9
WE: Information Technology (Consulting)

Both Betty and Wilma earn annual salaries of more than $5000
[#permalink]
Show Tags
Updated on: 28 Jan 2013, 08:19
Question Stats:
74% (00:47) correct 26% (00:49) wrong based on 314 sessions
HideShow timer Statistics
Both Betty and Wilma earn annual salaries of more than $50000. Is Wilma's annual salary greater than Betty's? (1) Betty's annual salary is closer to $50,000 than is Wilma's. (2) Betty's annual salary is closer to $35,000 than it is to Wilma's annual salary.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Best Regards, E.
MGMAT 1 > 530 MGMAT 2> 640 MGMAT 3 > 610 GMAT ==> 730
Originally posted by enigma123 on 09 Jun 2012, 14:42.
Last edited by Bunuel on 28 Jan 2013, 08:19, edited 2 times in total.
Edited the OA




Math Expert
Joined: 02 Sep 2009
Posts: 47977

Re: Both Betty and Wilma earn annual salaries of more than
[#permalink]
Show Tags
09 Jun 2012, 14:52
Both Betty and Wilma earn annual salaries of more than $50000. Is Wilma's annual salary greater than Betty's? Notice that we are told that both Betty and Wilma earn annual salaries of more than $50,000. (1) Betty's annual salary is closer to $50,000 than is Wilma's. $50,000(Betty)(Wilma) So, as you can see Wilma's annual salary is greater than Betty's. Sufficient. (2) Betty's annual salary is closer to $35,000 than it is to Wilma's annual salary. $35,000$50,000(Betty)(Wilma) Again Wilma's annual salary is greater than Betty's. Sufficient. Answer: D. Hope it's clear.
_________________
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




Manager
Joined: 12 May 2012
Posts: 75
Location: India
Concentration: General Management, Operations
GMAT 1: 650 Q51 V25 GMAT 2: 730 Q50 V38
GPA: 4
WE: General Management (Transportation)

Re: Both Betty and Wilma earn annual salaries of more than
[#permalink]
Show Tags
10 Jun 2012, 01:34
Bunuel wrote: Both Betty and Wilma earn annual salaries of more than $50000. Is Wilma's annual salary greater than Betty's?
Notice that we are told that both Betty and Wilma earn annual salaries of more than $50,000.
(1) Betty's annual salary is closer to $50,000 than is Wilma's.
$50,000(Betty)(Wilma) So, as you can see Wilma's annual salary is greater than Betty's. Sufficient.
(2) Betty's annual salary is closer to $35,000 than it is to Wilma's annual salary.
$35,000$50,000(Betty)(Wilma) Again Wilma's annual salary is greater than Betty's. Sufficient.
Answer: D.
Hope it's clear. I believe that OA is wrong. It should be D. Kindly check the OA and edit it. Bunuel  Your explanation is spot on.



Intern
Joined: 08 Jan 2013
Posts: 11

Re: Both Betty and Wilma earn annual salaries of more than
[#permalink]
Show Tags
28 Jan 2013, 08:11
I am sorry, but the official answer does not make any sense for Statement 1. It is simply mathematically wrong.
Mathematically spoken the statement says: Betty50.000<Wilma50.000 and not Betty50.000 < Wilma50.000 Let me make a numerical example. Betty earns 49.999 an Wilma earns 70.000. Obviously Betty's salary is closer than 50.000 though Wilma earns more. And the over way around: Let Betty earn 50.001 and Wilma 40.000, now still Betty's wage is closer to 50.000 though she now earns more than Wilma.
Stating that 1) is sufficient is simply wrong and I'm actually quite astonished people get away with such an answer so easily.
p.s.: The same argumentation holds for 2), so the correct answer must be C, as you can deduct from both statements that both wages must lie above 50.000; something you can't predict earlier.



Math Expert
Joined: 02 Sep 2009
Posts: 47977

Re: Both Betty and Wilma earn annual salaries of more than
[#permalink]
Show Tags
28 Jan 2013, 08:24
ethnix wrote: I am sorry, but the official answer does not make any sense for Statement 1. It is simply mathematically wrong.
Mathematically spoken the statement says: Betty50.000<Wilma50.000 and not Betty50.000 < Wilma50.000 Let me make a numerical example. Betty earns 49.999 an Wilma earns 70.000. Obviously Betty's salary is closer than 50.000 though Wilma earns more. And the over way around: Let Betty earn 50.001 and Wilma 40.000, now still Betty's wage is closer to 50.000 though she now earns more than Wilma.
Stating that 1) is sufficient is simply wrong and I'm actually quite astonished people get away with such an answer so easily.
p.s.: The same argumentation holds for 2), so the correct answer must be C, as you can deduct from both statements that both wages must lie above 50.000; something you can't predict earlier. Welcome to GMAT Club. Your examples are not correct because we are told that "both Betty and Wilma earn annual salaries of more than $50000". Hope it's clear.
_________________
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



Intern
Joined: 08 Jan 2013
Posts: 11

Re: Both Betty and Wilma earn annual salaries of more than
[#permalink]
Show Tags
28 Jan 2013, 08:27
Bunuel wrote: ethnix wrote: I am sorry, but the official answer does not make any sense for Statement 1. It is simply mathematically wrong.
Mathematically spoken the statement says: Betty50.000<Wilma50.000 and not Betty50.000 < Wilma50.000 Let me make a numerical example. Betty earns 49.999 an Wilma earns 70.000. Obviously Betty's salary is closer than 50.000 though Wilma earns more. And the over way around: Let Betty earn 50.001 and Wilma 40.000, now still Betty's wage is closer to 50.000 though she now earns more than Wilma.
Stating that 1) is sufficient is simply wrong and I'm actually quite astonished people get away with such an answer so easily.
p.s.: The same argumentation holds for 2), so the correct answer must be C, as you can deduct from both statements that both wages must lie above 50.000; something you can't predict earlier. Welcome to GMAT Club. Your examples are not correct because we are told that "both Betty and Wilma earn annual salaries of more than $50000". Hope it's clear. OMG, thanks. I suppose reading the question would avoid to most of my wrong answers :D



Intern
Joined: 28 Dec 2013
Posts: 31
Location: United States
GPA: 3
WE: Information Technology (Insurance)

Re: Both Betty and Wilma earn annual salaries of more than $5000
[#permalink]
Show Tags
08 Jul 2014, 06:49
Hey guys just one small question. If the test makers intended to say that Betty and Wilma's annual salaries put together was more than 50000 how could they have framed the question. I am nonnative speaker so it kinda took me a while to know that they meant Betty > 50000 and Wilma > 50000. Plz help
_________________
Never give up, never celebrate, never leave your spot until it is finally over We are winning this GMATwar together
"Your one spot for all your GMAT and Bschool ranking know hows"  Click here



Math Expert
Joined: 02 Sep 2009
Posts: 47977

Re: Both Betty and Wilma earn annual salaries of more than $5000
[#permalink]
Show Tags
08 Jul 2014, 06:54



Current Student
Joined: 14 Jun 2015
Posts: 90
Location: India
GMAT 1: 680 Q46 V37 GMAT 2: 750 Q50 V40
GPA: 3.5
WE: Information Technology (Telecommunications)

Re: Both Betty and Wilma earn annual salaries of more than $5000
[#permalink]
Show Tags
21 Oct 2015, 05:38
Bunuel wrote: Both Betty and Wilma earn annual salaries of more than $50000. Is Wilma's annual salary greater than Betty's?
Notice that we are told that both Betty and Wilma earn annual salaries of more than $50,000.
(1) Betty's annual salary is closer to $50,000 than is Wilma's.
$50,000(Betty)(Wilma) So, as you can see Wilma's annual salary is greater than Betty's. Sufficient.
(2) Betty's annual salary is closer to $35,000 than it is to Wilma's annual salary.
$35,000$50,000(Betty)(Wilma) Again Wilma's annual salary is greater than Betty's. Sufficient.
Answer: D.
Hope it's clear. I got the answer correct, but got completely confused with statement 2. Took a while to understand, but both scenarios led to the same answer, so was lucky here. My doubt here is between the two interpretations of statement 2. Namely, 1) Distance between Betty's salary and $35,000 < Distance between Betty's salary and Wilma's salary 1) Distance between Betty's salary and $35,000 < Distance between $35,000 and Wilma's salary Bunuel , Please help decipher these kind of statements.



Current Student
Joined: 20 Mar 2014
Posts: 2643
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: Both Betty and Wilma earn annual salaries of more than $5000
[#permalink]
Show Tags
21 Oct 2015, 05:45
rakshithbabu wrote: Bunuel wrote: Both Betty and Wilma earn annual salaries of more than $50000. Is Wilma's annual salary greater than Betty's?
Notice that we are told that both Betty and Wilma earn annual salaries of more than $50,000.
(1) Betty's annual salary is closer to $50,000 than is Wilma's.
$50,000(Betty)(Wilma) So, as you can see Wilma's annual salary is greater than Betty's. Sufficient.
(2) Betty's annual salary is closer to $35,000 than it is to Wilma's annual salary.
$35,000$50,000(Betty)(Wilma) Again Wilma's annual salary is greater than Betty's. Sufficient.
Answer: D.
Hope it's clear. I got the answer correct, but got completely confused with statement 2. Took a while to understand, but both scenarios led to the same answer, so was lucky here. My doubt here is between the two interpretations of statement 2. Namely, 1) Distance between Betty's salary and $35,000 < Distance between Betty's salary and Wilma's salary 2) Distance between Betty's salary and $35,000 < Distance between $35,000 and Wilma's salary Bunuel , Please help decipher these kind of statements. Let me try to help. First of, do not waste time in doubting the official questions. I agree the placement of "it" is kind of ambiguous but both the versions (it=Betty's and it=35000) will lead to the same conclusion of Betty's salary < Wilma's salary as we are given that both the salaries are >50000.



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6028
GPA: 3.82

Re: Both Betty and Wilma earn annual salaries of more than $5000
[#permalink]
Show Tags
25 Oct 2015, 11:51
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 independent equations ensures a solution. Both Betty and Wilma earn annual salaries of more than $50000. Is Wilma's annual salary greater than Betty's? (1) Betty's annual salary is closer to $50,000 than is Wilma's. (2) Betty's annual salary is closer to $35,000 than it is to Wilma's annual salary. In the original condition, we can let Betty's annual salary=b, Wilma's annual salary=w. Then, there are 2 variables and 3 equations from the question and the conditions, so there is high chance (D) will be our answer. Condition 1 is sufficient as it answers the question 'yes' Condition 2 is also sufficient for the same reason, so the answer becomes (D). For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $99 for 3 month Online Course" "Free Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



NonHuman User
Joined: 09 Sep 2013
Posts: 7748

Re: Both Betty and Wilma earn annual salaries of more than $5000
[#permalink]
Show Tags
20 Nov 2017, 10:49
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: Both Betty and Wilma earn annual salaries of more than $5000 &nbs
[#permalink]
20 Nov 2017, 10:49






