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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

At company X, 44% of the employees that own laptops do not [#permalink]

Show Tags

07 Jul 2012, 05:36

4

This post received KUDOS

26

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

59% (04:36) correct
41% (04:32) wrong based on 308 sessions

HideShow timer Statistics

At company X, 44% of the employees that own laptops do not own cellphone, and 30% of the employees that own cellphone do not own laptops. If the number of employees without laptops is 40% less than the employees with laptops, the what percent of the company's employees neither own a laptop nor a cellphone ??

A. 17.5 B. 22.5 C. 24 D. 26 E. 28

In this tricky problem I'm stuck on 30% of the employees. Is this question properly formulated , it seems a bit confused ....

At company X, 44% of the employees that own laptops do not own cellphone, and 30% of the employees that own cellphone do not own laptops. If the number of employees without laptops is 40% less than the employees with laptops, the what percent of the company's employees neither own a laptop nor a cellphone ??

A. 17.5 B. 22.5 C. 24 D. 26 E. 28

In this tricky problem I'm stuck on 30% of the employees. Is this question properly formulated , it seems a bit confused ....

Say x% of the employees own laptops. Since "the number of employees without laptops is 40% less than the employees with laptops", then \(100-x=0.6*x\) --> \(x=62.5\), so 62.5% of the employees own laptops.

Next: "44% of the employees that own laptops do not own cellphone", so 56% of the employees that own laptops own cellphone, so own both laptops and cellphone --> 0.56*62.5={Both}.

"30% of the employees that own cellphone do not own laptops", so 70% of the employees that own cellphone own laptops, so own both laptops and cellphone --> 0.7*y={Both}, where y is percentage of the employees who own cellphone.

From above: 0.56*62.5=0.7*y --> y=50 and {Both}=0.7*y=35, so 50% of the employees own cellphone and 35% of the employees own both laptops and cellphone.

Re: At company X, 44% of the employees that own laptops do not [#permalink]

Show Tags

09 Jul 2012, 13:40

1

This post received KUDOS

Hello Bunuel, Can you tell me what am I doing wrong...

I assume that let the total number of ppl be x, then let the intersection be y and remaining be z...then .44x is the ppl with laptops but not cellphones; .3x is the number of ppl with cellphone but not laptops

Thus as per the equation: .3x+z <ppl who do not have laptops> = 0.6(.44x+y). ...so they are basically asking z/x*100 ....But this is not yielding the right answer

Re: At company X, 44% of the employees that own laptops do not [#permalink]

Show Tags

09 Jul 2012, 15:16

1

This post received KUDOS

Considering the total of people with laptops are 100 and without are 60 so in total are 160

Then you have laptop and NO laptop in the tree. Then under laptop you have cell and No cell and the same under NO laptop

So, under laptop you have 0.56 % cellphone and 0.44 % under NO cell phone.

Under the second branch of tree you have people with cellphone that is X (you do not know nothing about this value) and HERE IS THE TRICKY part of this difficult problem.

When the statement says: 30% of people with cellphone do not have laptop you have to consider 30 % of 0.56 (people with cellphone under LAPTOP) + people with celphone under NO laptop ----->> y= 0.3 (y + 0.56x ).

Even though the amazing explanation of bunuel I fought with this part really tricky (at least for me) an entire evening.

Re: At company X, 44% of the employees that own laptops do not [#permalink]

Show Tags

10 Jul 2012, 03:43

2

This post received KUDOS

I spent some time writing this difficult problem and made sure the wording was not ambiguous and close to the types I have seen on the GMAT. I usually approach these overlapping set problems with a tree format, although many students prefer drawing a table. Nevertheless, it is a difficult problem that trips me up as well.

Here is a link to the problem that I had posted on my blog along with a video explanation:

Re: At company X, 44% of the employees that own laptops do not [#permalink]

Show Tags

10 Jul 2012, 03:50

1

This post received KUDOS

dabral wrote:

I spent some time writing this difficult problem and made sure the wording was not ambiguous and close to the types I have seen on the GMAT. I usually approach these overlapping set problems with a tree format, although many students prefer drawing a table. Nevertheless, it is a difficult problem that trips me up as well.

Here is a link to the problem that I had posted on my blog along with a video explanation:

Dear Dabral , infact I read this question on your very well done website and I'm confortable too with tree diagram, infact using table I didn't spot the connection between cellphone . Compliments

At first look seemed wording (my fault). indeed a really good question. Thanks for your work.
_________________

Re: At company X, 44% of the employees that own laptops do not [#permalink]

Show Tags

13 Aug 2012, 04:36

8

This post received KUDOS

3

This post was BOOKMARKED

I solved it using table, although it took around 4 minutes but it was neat and accurate. I initially took X for total laptop owners and Y for Total Cellphone owners. Then solved for total people without laptops =.6X (laptop owners[X]-without laptop[WL]=40%of laptop owners[X]) Then the net total becomes X+.6X=1.6X. Solve for Y under cellphone column i.e Y=.3Y+.56X resulting in Y=.8X and thats it. In the end i got the value under "neither cellphone nor laptop column" = .36X. and (.36X/1.6X)*100=22.5%

Attachments

tb.jpg [ 72.21 KiB | Viewed 5348 times ]

_________________

Whatever one does in life is a repetition of what one has done several times in one's life! If my post was worth it, then i deserve kudos

Re: At company X, 44% of the employees that own laptops do not [#permalink]

Show Tags

15 Aug 2013, 07:15

1

This post received KUDOS

It took 5 min. complex problem but not difficult.
_________________

Piyush K ----------------------- Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison Don't forget to press--> Kudos My Articles: 1. WOULD: when to use?| 2. All GMATPrep RCs (New) Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Re: At company X, 44% of the employees that own laptops do not [#permalink]

Show Tags

15 Aug 2013, 08:05

2

This post received KUDOS

1

This post was BOOKMARKED

carcass wrote:

At company X, 44% of the employees that own laptops do not own cellphone, and 30% of the employees that own cellphone do not own laptops. If the number of employees without laptops is 40% less than the employees with laptops, the what percent of the company's employees neither own a laptop nor a cellphone ??

A. 17.5 B. 22.5 C. 24 D. 26 E. 28

In this tricky problem I'm stuck on 30% of the employees. Is this question properly formulated , it seems a bit confused ....

Fact I "44% of the employees that own laptops do not own cellphone, and 30% of the employees that own cellphone do not own laptops."

=> 56% of the employees that own laptops own cellphone as well, and 70% of the employees that own cellphone own laptops as well --> employees having both laptops and cellphones

=> 56% of laptop owners = 70% of cell phone owners => ratio of owners: Laptop(L):Cellphone(C) = 70/56= 5:4

Fact II

"the number of employees without laptops is 40% less than the employees with laptops"

People with Laptop = L% People without Laptop = 0.6L%

L + 0.6L = 100 => L=62.5 of total employees

If 62.5% employees own Laptops, then from the ratio (4/5)*62.5 = 50% employees own Cellphones.

and 56% of Laptop owners own Cellphones => 62.5*(56/100) = 35% total employees own both Laptops and Cellphones

Now, Laptop Owners = 62.5% Cellphone Owners = 50% Both Laptops and Cellphones owners = 35%

Owners of Either Laptop or Cellphones or Both = 62.5 + 50 - 35 = 77.5% Employees with neither Laptop nor Cellphones = 100-77.5 = 22.5%

Ans B.
_________________

"Appreciation is a wonderful thing. It makes what is excellent in others belong to us as well." ― Voltaire Press Kudos, if I have helped. Thanks!

Re: At company X, 44% of the employees that own laptops do not [#permalink]

Show Tags

23 Oct 2013, 07:41

2

This post received KUDOS

1

This post was BOOKMARKED

Let number of employees who own a laptop be 100 => L=100 Therefore, the number of employees who do not own a laptop = L - 0.40L = 100 - 0.4*100 = 60 The number of employees who own a laptop but not a cell phone = 0.44*L = 44 Therefore, the number of employees who own both a laptop and a cellphone = 100-44 = 56 Let the number of employees who own a cellphone be c. Given that 30% of c do not own a laptop. Therefore 70% of c own a laptop. 0.70*c = 56 => c=80 Therefore, number of employees who own neither a laptop nor a cellphone = 80-44 = 36. Therefore, percentage of such employees = (36/160)*100 = 22.5

Re: At company X, 44% of the employees that own laptops do not [#permalink]

Show Tags

05 Oct 2014, 04:18

carcass wrote:

At company X, 44% of the employees that own laptops do not own cellphone, and 30% of the employees that own cellphone do not own laptops. If the number of employees without laptops is 40% less than the employees with laptops, the what percent of the company's employees neither own a laptop nor a cellphone ??

A. 17.5 B. 22.5 C. 24 D. 26 E. 28

In this tricky problem I'm stuck on 30% of the employees. Is this question properly formulated , it seems a bit confused ....

I am wondering where am i going wrong with my approach. Could you please help me pinning down the flaw

Y - total # of employees Only Laptop = (44/ 100) Y Only Cellphone = (30/ 100) Y Laptop and Cellphone- W

So Laptop - ( 44/100)Y + W

Given condition:

{{[( 44/100)Y + W ] - [(30 / 100) Y] } / ( 44/100)Y + W ] } = (4/10)

On solving W - (3/50) Y

So adding (44/ 100) Y +(30/ 100) Y+(3/50) Y = 80/100 Y

Y - 80/100 Y = 20/100 Y So I am getting 20%
_________________

[color=#007ec6]Would love to get kudos whenever it is due.. Though the mountain is steep, nevertheless once i reach the finishing point, i would enjoy the view [/color]....

At company X, 44% of the employees that own laptops do not [#permalink]

Show Tags

04 Jan 2015, 07:00

carcass wrote:

At company X, 44% of the employees that own laptops do not own cellphone, and 30% of the employees that own cellphone do not own laptops. If the number of employees without laptops is 40% less than the employees with laptops, the what percent of the company's employees neither own a laptop nor a cellphone ??

A. 17.5 B. 22.5 C. 24 D. 26 E. 28

In this tricky problem I'm stuck on 30% of the employees. Is this question properly formulated , it seems a bit confused ....

--------------------------LAPTOP---------------NO LAPTOP--------TOTAL CELL PHONE-----------0.56X=0.7Y---------0.3Y-----------------Y----- NO CELL PHONE-------0.44X---------------- ------------------- --- TOTAL-------------------X-----------------------100-X--------------100-- GIVEN : ( X-100+X)/X = 0.4 ; X=62.5 ; WE CAN SOLVE FOR Y AND REST OF THE CELLS . ANSWERS IS 22.5
_________________

Thanks, Lucky

_______________________________________________________ Kindly press the to appreciate my post !!

Re: At company X, 44% of the employees that own laptops do not [#permalink]

Show Tags

14 Jan 2016, 05:12

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.
_________________

Re: At company X, 44% of the employees that own laptops do not [#permalink]

Show Tags

18 Jan 2017, 09:39

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.
_________________

Campus visits play a crucial role in the MBA application process. It’s one thing to be passionate about one school but another to actually visit the campus, talk...

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...