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

It is currently 17 Aug 2018, 23:49

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

Of 200 people surveyed, 80 percent own a cellular phone and 45 percen

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

Hide Tags

Intern
Intern
avatar
Joined: 07 Jul 2016
Posts: 2
Of 200 people surveyed, 80 percent own a cellular phone and 45 percen  [#permalink]

Show Tags

New post 18 Jul 2016, 02:31
1
5
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

81% (01:07) correct 19% (01:30) wrong based on 344 sessions

HideShow timer Statistics

Of 200 people surveyed, 80 percent own a cellular phone and 45 percent own a pager. If all 200 people surveyed own a cellular phone, or a pager, or both, what percent of those surveyed either do not own a cellular phone or do not own a pager?

(A) 35%
(B) 45%
(C) 55%
(D) 65%
(E) 75%


Attachment:
Screen Shot 2016-07-18 at 5.24.51 PM.png
Screen Shot 2016-07-18 at 5.24.51 PM.png [ 840.86 KiB | Viewed 5710 times ]
Intern
Intern
avatar
B
Joined: 06 Aug 2015
Posts: 47
Concentration: General Management, Entrepreneurship
GMAT Date: 10-30-2016
GPA: 3.34
WE: Programming (Consulting)
Reviews Badge
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen  [#permalink]

Show Tags

New post 18 Jul 2016, 02:43
1
My option E)

Straight forward answer if you follow 2x2 matrix method.. :)

cell , not cell

Pag - - 90

N. pag - - 110

160 40 200

Required = 110+90 = 150
therefore, 150/200 = 75%.
Retired Moderator
avatar
G
Joined: 26 Nov 2012
Posts: 598
Premium Member
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen  [#permalink]

Show Tags

New post 18 Jul 2016, 02:58
1
1
evannolimit wrote:
Of 200 people surveyed, 80 percent own a cellular phone and 45 percent own a pager. If all 200 people surveyed own a cellular phone, or a pager, or both, what percent of those surveyed either do not own a cellular phone or do not own a pager?

(A) 35%
(B) 45%
(C) 55%
(D) 65%
(E) 75%



This is how I tried.

Since this is percentage and number type, converting all into percentages. Here we are asked the percentage of people who don't have neither CP or Pager.

We are given 80% hold CP i.e. 20% does't have CP. Similarly for the pager.

Hence 75%. Option E.
Attachments

sol.png
sol.png [ 46.14 KiB | Viewed 5656 times ]

VP
VP
avatar
S
Joined: 09 Jun 2010
Posts: 1152
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen  [#permalink]

Show Tags

New post 18 Jul 2016, 07:46
redundant information.
we do not need the number 200 to find oa is e.
_________________

visit my facebook to help me.
on facebook, my name is: thang thang thang

Intern
Intern
User avatar
B
Joined: 06 Oct 2012
Posts: 26
Location: India
GMAT 1: 590 Q47 V25
GMAT 2: 710 Q49 V38
GPA: 3
Reviews Badge
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen  [#permalink]

Show Tags

New post 13 Nov 2016, 06:15
2
victory47 wrote:
redundant information.
we do not need the number 200 to find oa is e.



we can...

80% who own cellular phone = 160
45% own pager = 90

total who own cellular phone = 160+90=250. However total number of people is 200 so 250-200=50 people own both..

now we need people who either own a cp or a pager (but not both), so we substract the 50 from 200=150 is our required population.

(150\200)*100 = 75.
_________________

A river cuts through rock, not because of its power, but because of its persistence - Never Give up.

Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3773
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen  [#permalink]

Show Tags

New post 13 Nov 2016, 09:23
1
evannolimit wrote:
Of 200 people surveyed, 80 percent own a cellular phone and 45 percent own a pager. If all 200 people surveyed own a cellular phone, or a pager, or both, what percent of those surveyed either do not own a cellular phone or do not own a pager?

(A) 35%
(B) 45%
(C) 55%
(D) 65%
(E) 75%


n ( C ∪ P ) = n ( C ) + n ( P ) - n ( C ∩ P )

200 = 160 + 90 - n ( C ∩ P )

Or, n ( C ∩ P ) = 250 - 200

Or, n ( C ∩ P ) = 50

So, Percentage of people owning both a Cell Phone & Pager is 25% and 75% owns a Cell Phone + Pager...

Thus , 75% either do not own a cellular phone or do not own a pager..

Hence, answer will be (E)...


_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Intern
Intern
avatar
Joined: 30 Apr 2015
Posts: 6
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen  [#permalink]

Show Tags

New post 06 Dec 2016, 11:05
We know : T (total) - N (neither)= A + B - K(both)
Total : 100% (given)
Neither : 0 % (given)

100- 0 = 80 + 45 + K
=> K = 125-100= 25

Now we know that A= A1 + K i.e. A= Own cellular phone, K = own cellular phone and pager, A1= own's cellular phone only and not pager , => 80=A1 + 25 =>A1= 55
Similarly B=B1 + K, => B1= 20

So A1 + B1 = 55+20 = 75

Ans : E :)
Manager
Manager
avatar
S
Joined: 13 Dec 2013
Posts: 161
Location: United States (NY)
Concentration: Nonprofit, International Business
GMAT 1: 710 Q46 V41
GMAT 2: 720 Q48 V40
GPA: 4
WE: Consulting (Consulting)
Reviews Badge
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen  [#permalink]

Show Tags

New post 14 Apr 2017, 20:20
The 80% (160) that own a cell phone and 45% (90) that own a pager also include those that own both. If c=cell phone owners only, p=pager owners only and b=both, then: Total=(c+b)+(p+b)-b
So, 200=160+90-b
b=50, so 150 own only one of either a pager or cell. 75%.

If you like and/or agree then kudos. If you have a better method, please comment!
Intern
Intern
avatar
B
Joined: 08 Mar 2017
Posts: 1
GMAT 1: 690 Q46 V39
GMAT 2: 700 Q46 V40
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen  [#permalink]

Show Tags

New post 18 Apr 2017, 13:38
Quote:
Of 200 people surveyed, 80 percent own a cellular phone and 45 percent own a pager. If all 200 people surveyed own a cellular phone, or a pager, or both, what percent of those surveyed either do not own a cellular phone or do not own a pager?


80% own cell phone, 20% do not.
45% own pager, 55% do not.
So percent of those who either do not own cell phone or do not own pager is 20% + 55% = 75%
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12189
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen  [#permalink]

Show Tags

New post 29 Jan 2018, 15:17
Hi All,

This question is a modified version of a typical Overlapping Sets question. You can solve it with the tic-tac-toe board or the Overlapping Sets Formula:

Total = (Group 1) + (Group 2) - Both + Neither

In this prompt, we're told that ALL 200 people own at least one of the two items, so the 'Neither' group would be 0.

80% of 200 = 160 people own a cell phone
45% of 200 = 90 people own a pager

Plugging that data into the formula, we have...

200 = 160 + 90 - Both

200 = 250 - Both
Both = 50

Since 50 of the 200 people have both items, the other 200 - 50 = 150 people have just one item. As a percentage of the total, that is 150/200 = 75%

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen &nbs [#permalink] 29 Jan 2018, 15:17
Display posts from previous: Sort by

Of 200 people surveyed, 80 percent own a cellular phone and 45 percen

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

Events & Promotions

PREV
NEXT


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®.