GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Oct 2018, 16:18

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.

Close

Request Expert Reply

Confirm Cancel

M19-16

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50009
M19-16  [#permalink]

Show Tags

New post 16 Sep 2014, 01:06
2
6
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

78% (01:51) correct 22% (03:03) wrong based on 172 sessions

HideShow timer Statistics

In a certain company, employees receive their salary on a monthly basis and are paid on either 10th or 20th of each month. If 65 percent of all managers are paid on 10th of each month and 79% of employees who are paid on 20th of each month are not managers, what percent of the company employees are managers?

A. 12%
B. 15%
C. 20%
D. 21%
E. the answer cannot be derived from the data provided

_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50009
Re M19-16  [#permalink]

Show Tags

New post 16 Sep 2014, 01:06
Official Solution:

In a certain company, employees receive their salary on a monthly basis and are paid on either 10th or 20th of each month. If 65 percent of all managers are paid on 10th of each month and 79% of employees who are paid on 20th of each month are not managers, what percent of the company employees are managers?

A. 12%
B. 15%
C. 20%
D. 21%
E. the answer cannot be derived from the data provided


To make sure that the question cannot be answered imagine two scenarios.
  1. Few of the company employees are managers and few employees are paid on the 20th. The situation described in the stem is possible.
  2. Almost half of the company employees are managers and almost half of the employees are paid on the 20th. The situation described in the stem is still possible.


Answer: E
_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 21 May 2014
Posts: 11
GMAT 1: 710 Q49 V38
Re: M19-16  [#permalink]

Show Tags

New post 27 Oct 2014, 13:30
I dont understand the solution. My reasoning was that 65% of Managers receive salaries on the 10th, which means that 35% M receive salaries on the 20th. 79% of employees who receive salary on the 20th are not managers - this means that 21% are managers. Based on this logic, 21% of Empl = 35 % of Managers. We get a 3 E = 5 M ratio...
Would really appreciate a response...
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50009
Re: M19-16  [#permalink]

Show Tags

New post 28 Oct 2014, 04:26
lmavriqi wrote:
I dont understand the solution. My reasoning was that 65% of Managers receive salaries on the 10th, which means that 35% M receive salaries on the 20th. 79% of employees who receive salary on the 20th are not managers - this means that 21% are managers. Based on this logic, 21% of Empl = 35 % of Managers. We get a 3 E = 5 M ratio...
Would really appreciate a response...


21% of those paid on the 20th are managers, it doesn't mean that 21% of all employees are managers. Try to use the 2 X 2 table method and you will see that you cannot fill it out.
_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 30 Jul 2014
Posts: 4
GMAT 1: 540 Q40 V25
GMAT 2: 580 Q47 V24
M19-16  [#permalink]

Show Tags

New post 28 Oct 2014, 04:34
lmavriqi

The Answer to the question is E.

If we carefully observe the question again , we can split the question into 2 parts.

1. Which says : 65 percent of all managers are paid on 10th of each month -- From this its clear that 65% of Managers are paid on 10th. But we don't have any information regarding the percent of non managers paid on 10th. It can be that 95% of all the non managers in the company could be paid on 10th or only 5% could be paid.. So this point adds nothing to our conclusion.

2. Which says : 79% of employees who are paid on 20th of each month are not managers -- From this , we can say that 21% employees are 35% of managers. But what about the remaining 79 % employees paid?? Are the 79% employees paid on 20th = 5 % of the non managers who were not paid on 10th?? or Are the 79 % employees paid on 20th = the 95% of non managers who were not paid on 10th...

So we cannot exactly say as to how many employees the 79% corresponds to...

So the answer is E..


+1 Kudos if you like my reply..
Senior Manager
Senior Manager
User avatar
S
Joined: 08 Jun 2015
Posts: 451
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
GPA: 3.33
Premium Member
Re: M19-16  [#permalink]

Show Tags

New post 25 Jun 2016, 08:50
2 X 2 table method works well. Eventually , you will realize that you can not fill it out.
_________________

" The few , the fearless "

Intern
Intern
User avatar
S
Joined: 26 Oct 2016
Posts: 29
Premium Member
Re: M19-16  [#permalink]

Show Tags

New post 17 Aug 2017, 03:03
Bunuel wrote:
Official Solution:

In a certain company, employees receive their salary on a monthly basis and are paid on either 10th or 20th of each month. If 65 percent of all managers are paid on 10th of each month and 79% of employees who are paid on 20th of each month are not managers, what percent of the company employees are managers?

A. 12%
B. 15%
C. 20%
D. 21%
E. the answer cannot be derived from the data provided


To make sure that the question cannot be answered imagine two scenarios.
  1. Few of the company employees are managers and few employees are paid on the 20th. The situation described in the stem is possible.
  2. Almost half of the company employees are managers and almost half of the employees are paid on the 20th. The situation described in the stem is still possible.


Answer: E


Bunuel,
Can you please show with the 2x2 matrix, I find it lil confusing.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50009
Re: M19-16  [#permalink]

Show Tags

New post 17 Aug 2017, 04:22
ezzo wrote:
Bunuel wrote:
Official Solution:

In a certain company, employees receive their salary on a monthly basis and are paid on either 10th or 20th of each month. If 65 percent of all managers are paid on 10th of each month and 79% of employees who are paid on 20th of each month are not managers, what percent of the company employees are managers?

A. 12%
B. 15%
C. 20%
D. 21%
E. the answer cannot be derived from the data provided


To make sure that the question cannot be answered imagine two scenarios.
  1. Few of the company employees are managers and few employees are paid on the 20th. The situation described in the stem is possible.
  2. Almost half of the company employees are managers and almost half of the employees are paid on the 20th. The situation described in the stem is still possible.


Answer: E


Bunuel,
Can you please show with the 2x2 matrix, I find it lil confusing.


Check below:
Attachment:
Untitled.png

>> !!!

You do not have the required permissions to view the files attached to this post.


_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
User avatar
S
Joined: 26 Oct 2016
Posts: 29
Premium Member
Re: M19-16  [#permalink]

Show Tags

New post 17 Aug 2017, 07:05
Bunuel wrote:
ezzo wrote:
Bunuel wrote:
Official Solution:

In a certain company, employees receive their salary on a monthly basis and are paid on either 10th or 20th of each month. If 65 percent of all managers are paid on 10th of each month and 79% of employees who are paid on 20th of each month are not managers, what percent of the company employees are managers?

A. 12%
B. 15%
C. 20%
D. 21%
E. the answer cannot be derived from the data provided


To make sure that the question cannot be answered imagine two scenarios.
  1. Few of the company employees are managers and few employees are paid on the 20th. The situation described in the stem is possible.
  2. Almost half of the company employees are managers and almost half of the employees are paid on the 20th. The situation described in the stem is still possible.


Answer: E


Bunuel,
Can you please show with the 2x2 matrix, I find it lil confusing.


Check below:
Attachment:
Untitled.png



Thanks for the fast reply as usual:) ,the matrix cleared my doubt.
Manager
Manager
avatar
G
Joined: 26 Dec 2017
Posts: 152
Premium Member Reviews Badge
Re: M19-16  [#permalink]

Show Tags

New post 22 Jan 2018, 21:26
Hi Bunuel,
let me know if my understanding was correct.
In the above 2x2 table posted manager column will be .65x and .21y and total x.
which means .65x+.21y=x =>.21y=.35x
from above we will percent of managers getting paid on 20th but not out of total employees so insuff
_________________

--If you like my post pls give kudos

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50009
Re: M19-16  [#permalink]

Show Tags

New post 22 Jan 2018, 21:34
1
tejyr wrote:
Hi Bunuel,
let me know if my understanding was correct.
In the above 2x2 table posted manager column will be .65x and .21y and total x.
which means .65x+.21y=x =>.21y=.35x
from above we will percent of managers getting paid on 20th but not out of total employees so insuff


Yes, your understating is correct.
_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

GMAT Club Bot
Re: M19-16 &nbs [#permalink] 22 Jan 2018, 21:34
Display posts from previous: Sort by

M19-16

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

Moderators: chetan2u, Bunuel



Copyright

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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.