Find all School-related info fast with the new School-Specific MBA Forum

It is currently 04 May 2016, 15:36
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In a certain office, 50 percent of the employees are college

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 178
Followers: 3

Kudos [?]: 1545 [0], given: 0

In a certain office, 50 percent of the employees are college [#permalink]

Show Tags

New post 07 Dec 2012, 08:16
9
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (02:48) correct 23% (02:01) wrong based on 659 sessions

HideShow timer Statictics

In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

(1) Exactly 100 of the employees are college graduates.
(2) Of the employees 40 years old or less, 25 percent have master's degrees.
[Reveal] Spoiler: OA
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32623
Followers: 5653

Kudos [?]: 68646 [0], given: 9816

Re: In a certain office, 50 percent of the employees are college [#permalink]

Show Tags

New post 07 Dec 2012, 08:21
Expert's post
2
This post was
BOOKMARKED
In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

Let x be the number of employees in that office. Given that:
0.5x = college graduates;
0.6x = employees over 40;
0.3*0.6x = employees over 40 with master's degrees.

(1) Exactly 100 of the employees are college graduates --> 0.5x=100. We can find the value of x, thus we can determine the value of 0.3*0.6x. Sufficient.

(2) Of the employees 40 years old or less, 25 percent have master's degrees. We have no information about the number of employees in any group, only percentages. Not sufficient.

Answer: A.
_________________

New to the Math Forum?
Please read this: 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?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
User avatar
Joined: 30 May 2011
Posts: 18
Followers: 0

Kudos [?]: 6 [0], given: 4

GMAT ToolKit User
OG13 - DS #94 [#permalink]

Show Tags

New post 28 Feb 2013, 21:50
In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

(1) Exactly 100 of the employees are college graduates

(2) Of the employees forty years old of less, 25 percent have master's degrees

The OA is A.

I agree with the OA if college graduates are in the same group as people with master's degrees. However, in real world, not all college graduates have master's degree. No?
Manager
Manager
User avatar
Joined: 12 Jul 2011
Posts: 129
Concentration: Strategy, Sustainability
Schools: Booth '15 (M)
WE: Business Development (Non-Profit and Government)
Followers: 62

Kudos [?]: 403 [0], given: 41

Premium Member Reviews Badge
Re: OG13 - DS #94 [#permalink]

Show Tags

New post 28 Feb 2013, 23:14
The first statistic (50% of employees are "college graduates") is a red herring. We don't need it to answer the question asked. The final question concerns master's degrees, and we never got any info about the breakdown of degrees held among college grads. We know 60% of employees are over 40, and 30% of those over 40 have a master's degree. So the number of employees over 40 with a master's degree will be 0.3*0.6*(number of employees).

The second statement would be sufficient IF we knew the total number of master's degrees or the total number of employees. But we don't, not unless we use the first statement. The first statement alone is sufficient, whereas the second is not.
_________________

My GMAT debrief

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32623
Followers: 5653

Kudos [?]: 68646 [0], given: 9816

Re: OG13 - DS #94 [#permalink]

Show Tags

New post 01 Mar 2013, 01:22
Expert's post
linglinrtw wrote:
In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

(1) Exactly 100 of the employees are college graduates

(2) Of the employees forty years old of less, 25 percent have master's degrees

The OA is A.

I agree with the OA if college graduates are in the same group as people with master's degrees. However, in real world, not all college graduates have master's degree. No?


Merging similar topics. Please refer to the solutions above.

Also, please read and follow: rules-for-posting-please-read-this-before-posting-133935.html

And finally, please hide OA's under the spoiler. Thank you.
_________________

New to the Math Forum?
Please read this: 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?
Extra-hard Quant Tests with Brilliant Analytics

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9284
Followers: 455

Kudos [?]: 115 [0], given: 0

Premium Member
Re: In a certain office, 50 percent of the employees are college [#permalink]

Show Tags

New post 01 Aug 2014, 10:47
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

Intern
Intern
avatar
Joined: 01 Oct 2014
Posts: 4
Followers: 0

Kudos [?]: 0 [0], given: 10

Re: In a certain office, 50 percent of the employees are college [#permalink]

Show Tags

New post 05 May 2015, 03:48
Hi,

I would like to follow up on the post of linglinrtw, I initially answered the good answer however when re-reading the text, in order to be able to answer the question, we need to make an assumption on the population (it is not either college degree or master degree, it could be something else).

Basically, in many overlapping problems, it is not clearly stated black or white; 1 or 0; and never in the answer this assumption is taken into account.

However, this kind of assuption would be exactly the kind of flaws that the GMAT asks us to find in critical reasoning in the verbal part.

Am I to demanding and should take for granted the assumption in those kind of problem? What do you think?
Thanks a lot!
Expert Post
e-GMAT Representative
User avatar
Joined: 04 Jan 2015
Posts: 338
Followers: 87

Kudos [?]: 699 [0], given: 84

Re: In a certain office, 50 percent of the employees are college [#permalink]

Show Tags

New post 05 May 2015, 05:35
Expert's post
tsunagaru wrote:
Hi,

I would like to follow up on the post of linglinrtw, I initially answered the good answer however when re-reading the text, in order to be able to answer the question, we need to make an assumption on the population (it is not either college degree or master degree, it could be something else).

Basically, in many overlapping problems, it is not clearly stated black or white; 1 or 0; and never in the answer this assumption is taken into account.

However, this kind of assuption would be exactly the kind of flaws that the GMAT asks us to find in critical reasoning in the verbal part.

Am I to demanding and should take for granted the assumption in those kind of problem? What do you think?
Thanks a lot!


Your doubt is very valid. In fact, in this question, if you try to segregate the groups in a tree structure format and assume that college degree and master's degree are the only two subcategories, you'll see that your inferences would go against the information given in statement 2. (Try it for yourself. Let me know if you need my help in this. :) )

That essentially indicates that the categories listed out in the question are not exhaustive.

However, the question very clearly asks about the number of employees "Above the age 40 AND having a Master's degree". The percentages given are also exactly relevant to this. (% of employees above 40 and % of master's degree holders among employees above 40)

So the problem essentially boils down to finding the total number of employees in the office itself. In other words, we need not worry about other possible groups among these employees. :)

In questions where grouping needs to be conveyed very clearly, the GMAT makes sure that the classification is unambiguous. For instance, Red colored balls and Blue colored balls AND Big and small balls among each color. (There is no scope of confusion here because a ball cannot be both Red and Blue at the same time. :) )


Hope this helps. :)

Regards,
Krishna
_________________

https://e-gmat.com/courses/quant-live-prep/

Image

Intern
Intern
avatar
Joined: 01 Aug 2010
Posts: 14
Followers: 0

Kudos [?]: 0 [0], given: 41

Re: In a certain office, 50 percent of the employees are college [#permalink]

Show Tags

New post 20 Sep 2015, 04:51
Bunuel wrote:
linglinrtw wrote:
In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

(1) Exactly 100 of the employees are college graduates

(2) Of the employees forty years old of less, 25 percent have master's degrees

The OA is A.

I agree with the OA if college graduates are in the same group as people with master's degrees. However, in real world, not all college graduates have master's degree. No?


Merging similar topics. Please refer to the solutions above.

Also, please read and follow: rules-for-posting-please-read-this-before-posting-133935.html

And finally, please hide OA's under the spoiler. Thank you.


Hi,

Could you help me understand what I am doing wrong here.
According to Statement 2,
25% of the 40% of the employees( since 60% are 40 years old) have masters degree and are either 40 or under 40.
The question stem tell us that 50% of all employees are college graduates (which the question is assuming is same as masters degree)
so why can I not make an equation out of it?
(.25)(.4x) + (.3)(.6x)= (.5x)

Thanks
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32623
Followers: 5653

Kudos [?]: 68646 [0], given: 9816

Re: In a certain office, 50 percent of the employees are college [#permalink]

Show Tags

New post 20 Sep 2015, 08:39
Expert's post
carrerswitch wrote:
Bunuel wrote:
linglinrtw wrote:
In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

(1) Exactly 100 of the employees are college graduates

(2) Of the employees forty years old of less, 25 percent have master's degrees

The OA is A.

I agree with the OA if college graduates are in the same group as people with master's degrees. However, in real world, not all college graduates have master's degree. No?


Merging similar topics. Please refer to the solutions above.

Also, please read and follow: rules-for-posting-please-read-this-before-posting-133935.html

And finally, please hide OA's under the spoiler. Thank you.


Hi,

Could you help me understand what I am doing wrong here.
According to Statement 2,
25% of the 40% of the employees( since 60% are 40 years old) have masters degree and are either 40 or under 40.
The question stem tell us that 50% of all employees are college graduates (which the question is assuming is same as masters degree)
so why can I not make an equation out of it?
(.25)(.4x) + (.3)(.6x)= (.5x)

Thanks


College graduates and those who have a master degree are not the same group.
_________________

New to the Math Forum?
Please read this: 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?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 01 Aug 2010
Posts: 14
Followers: 0

Kudos [?]: 0 [0], given: 41

Re: In a certain office, 50 percent of the employees are college [#permalink]

Show Tags

New post 20 Sep 2015, 17:37
Merging similar topics. Please refer to the solutions above.

Also, please read and follow: rules-for-posting-please-read-this-before-posting-133935.html

And finally, please hide OA's under the spoiler. Thank you.[/quote]

Hi,

Could you help me understand what I am doing wrong here.
According to Statement 2,
25% of the 40% of the employees( since 60% are 40 years old) have masters degree and are either 40 or under 40.
The question stem tell us that 50% of all employees are college graduates (which the question is assuming is same as masters degree)
so why can I not make an equation out of it?
(.25)(.4x) + (.3)(.6x)= (.5x)

Thanks[/quote]

College graduates and those who have a master degree are not the same group.[/quote]

Thanks. I should not make such assumptions :)
Expert Post
Math Revolution GMAT Instructor
User avatar
Joined: 16 Aug 2015
Posts: 1074
GPA: 3.82
Followers: 67

Kudos [?]: 453 [0], given: 0

Premium Member
Re: In a certain office, 50 percent of the employees are college [#permalink]

Show Tags

New post 22 Sep 2015, 04:45
Expert's post
1
This post was
BOOKMARKED
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.


In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

(1) Exactly 100 of the employees are college graduates.
(2) Of the employees 40 years old or less, 25 percent have master's degrees.

Transforming the original condition and the question, we have the 2by2 table that is common in GMAT math test.

Attachment:
GC DS Walkabout In a certain office(20150921).jpg
GC DS Walkabout In a certain office(20150921).jpg [ 56.35 KiB | Viewed 1765 times ]


From above, we just need to know E and therefore we are dealing with 1 variable. We need 1 equation to match the number of variable and equation. Since there is 1 each in 1) and 2), there is high probability that D is the answer.

In case of 1), 50E=100 gives us E=2, 18E=36. Therefore the condition is sufficient.
In case of 2), 40E*25%=10E=x, and we can't find the value for E. Therefore the condition is not sufficient. The answer is A.

Normally 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 D has a high chance of being the answer, which is why we attempt to solve the question using 1) and 2) separately. Here, there is 59 % chance that D is the answer, while A or B has 38% chance. There is 3% chance that C or E is the answer for the case. Since D is most likely to be the answer according to DS definition, we solve the question assuming D would be our answer hence using 1) and 2) separately. 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 one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Re: In a certain office, 50 percent of the employees are college   [#permalink] 22 Sep 2015, 04:45
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic What percent of Gigacorp’s 80 female employees are college graduates? Bunuel 5 25 Mar 2015, 04:27
At a certain company, 25 percent of the employees are male ajit257 5 05 Jan 2011, 18:37
1 In an office that employees 120 people, m% of the employees dimitri92 4 24 May 2010, 02:07
5 Experts publish their posts in the topic In a certain office, 50 percent of the employees are college sher676 6 11 Jul 2009, 11:06
Experts publish their posts in the topic At a certain university, if 50 percent of the people who lahoosaher 10 18 Jun 2009, 13:31
Display posts from previous: Sort by

In a certain office, 50 percent of the employees are college

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.