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Both Betty and Wilma earn annual salaries of more than $5000

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Both Betty and Wilma earn annual salaries of more than $5000 [#permalink] New post 09 Jun 2012, 13:42
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69% (01:38) correct 31% (00:41) wrong based on 109 sessions
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.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 28 Jan 2013, 07:19, edited 2 times in total.
Edited the OA
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Re: Both Betty and Wilma earn annual salaries of more than [#permalink] New post 09 Jun 2012, 13:52
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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.
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Re: Both Betty and Wilma earn annual salaries of more than [#permalink] New post 10 Jun 2012, 00:34
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.
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Re: Both Betty and Wilma earn annual salaries of more than [#permalink] New post 28 Jan 2013, 07:11
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: |Betty-50.000|<|Wilma-50.000| and not Betty-50.000 < Wilma-50.000
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.
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Re: Both Betty and Wilma earn annual salaries of more than [#permalink] New post 28 Jan 2013, 07:24
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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: |Betty-50.000|<|Wilma-50.000| and not Betty-50.000 < Wilma-50.000
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.
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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.


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Re: Both Betty and Wilma earn annual salaries of more than [#permalink] New post 28 Jan 2013, 07:27
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: |Betty-50.000|<|Wilma-50.000| and not Betty-50.000 < Wilma-50.000
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
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Re: Both Betty and Wilma earn annual salaries of more than $5000 [#permalink] New post 06 Jul 2014, 22:15
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Re: Both Betty and Wilma earn annual salaries of more than $5000 [#permalink] New post 08 Jul 2014, 05:49
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 non-native speaker so it kinda took me a while to know that they meant Betty > 50000 and Wilma > 50000. Plz help
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Re: Both Betty and Wilma earn annual salaries of more than $5000 [#permalink] New post 08 Jul 2014, 05:54
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janxavier wrote:
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 non-native speaker so it kinda took me a while to know that they meant Betty > 50000 and Wilma > 50000. Plz help


It would be something like "combined salary of Betty and Wilma is more than $50000" or "together Betty and Wilma earn annual salary of more than $50000".
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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.


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Re: Both Betty and Wilma earn annual salaries of more than $5000   [#permalink] 08 Jul 2014, 05:54
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