100 residents of a city were surveyed and each one read at least one : Data Sufficiency (DS)

My Profile Logout

Test's Subscription Expires:

My Follow Feed Kudos My Error Log

Chat notifications

Settings Mark All Read

See All

Messages and Replies

Settings Mark All Read

See All

Applicant Notifications

Settings Mark All Read

See All

Global notifications

Settings Mark All Read

See All

100 residents of a city were surveyed and each one read at least one

Sort by Date

Sort by Kudos

Author

Message

TAGS:

Hide Tags

Find Similar Topics

Math Expert

Joined: 02 Sep 2009

Posts: 61260

100 residents of a city were surveyed and each one read at least one [#permalink]

Show Tags

08 Dec 2019, 22:58

00:00

Difficulty:

45% (medium)

Question Stats:

57% (01:19) correct

43% (01:11) wrong

based on 67 sessions

HideShow timer Statistics

Competition Mode Question

Spoiler: OA

_________________

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Signature Read More

Director

Joined: 07 Mar 2019

Posts: 684

Location: India

Schools: Anderson '22, Instead Sept 20 Intake, UC Davis '22, NUS '22, Erasmus '21, IIMA , IIMC , Bocconi '21

GMAT 1: 580 Q43 V27

WE: Sales (Energy and Utilities)

Re: 100 residents of a city were surveyed and each one read at least one [#permalink]

Show Tags

09 Dec 2019, 00:02

100 residents of a city were surveyed and each one read at least one of the town's two newspapers, the Times and the Post. How many residents read the Post?
Let T = number of residents reading the Times
P = number of residents reading the Post
Since no resident is a non-reader of the two newspapers, number of residents reading no paper is zero.
P + T - P(intersection)T = 100
P = ?
(1) The number of residents who read no newspapers is zero.
Accordingly, P + T - P(intersection)T = 100
50 + 55 - 5 = 100
or
60 + 55 - 15 = 100

INSUFFICIENT.

(2) The number of residents who read only the Times was 46.
So, T - P(intersection)T = 46
Hence P = 100 - 46 = 54

SUFFICIENT.

Answer B.
_________________

Ephemeral Epiphany..!

GMATPREP1 590(Q48,V23) March 6, 2019
GMATPREP2 610(Q44,V29) June 10, 2019
GMATPREPSoft1 680(Q48,V35) June 26, 2019

Signature Read More

GMAT Club Legend

Joined: 18 Aug 2017

Posts: 5924

Location: India

Concentration: Sustainability, Marketing

GPA: 4

WE: Marketing (Energy and Utilities)

100 residents of a city were surveyed and each one read at least one [#permalink]

Show Tags

Updated on: 10 Dec 2019, 18:18

solve using 2x2 matrix

---RT--NRT--total
RP--0--54--54
NRP--46--0----46
total--46--54--100
IMO B

100 residents of a city were surveyed and each one read at least one of the town's two newspapers, the Times and the Post. How many residents read the Post?

(1) The number of residents who read no newspapers is zero.

(2) The number of residents who read only the Times was 46.

Originally posted by Archit3110 on 09 Dec 2019, 00:20.
Last edited by Archit3110 on 10 Dec 2019, 18:18, edited 2 times in total.

Manager

Joined: 30 Nov 2017

Posts: 62

GMAT 1: 690 Q49 V35

Re: 100 residents of a city were surveyed and each one read at least one [#permalink]

Show Tags

09 Dec 2019, 00:58

Total Residents: 100
Assume:
Nos of residents who read times & post: a
Only Post: b
Only Time: c
So, we need to find out: a+b(people who read both and who only read post)
1) St 1: We already know from question each read atleast one. Hence, inconsequential. Insufficient
2) St 2: c=46. We also know that a+b+c(only times + only post + both)=100. Solving, we find (a+b). Sufficient.

Director

Joined: 30 Sep 2017

Posts: 652

GMAT 1: 720 Q49 V40 Verified score

GPA: 3.8

100 residents of a city were surveyed and each one read at least one [#permalink]

Show Tags

Updated on: 09 Dec 2019, 23:06

Q. How many (out of 100) residents read the Post?

(1) No new information is given from this statement. This is just a rephrase from "each one read at least one of the town's two newspapers, the Times and the Post."
NOT SUFFICIENT

(2) 100-46=54
SUFFICIENT.

Answer is (B)

Posted from my mobile device

Originally posted by chondro48 on 09 Dec 2019, 01:22.
Last edited by chondro48 on 09 Dec 2019, 23:06, edited 1 time in total.

Joined: 24 Nov 2016

Posts: 1204

Location: United States

Re: 100 residents of a city were surveyed and each one read at least one [#permalink]

Show Tags

09 Dec 2019, 03:33

Quote:

(1) The number of residents who read no newspapers is zero. insufic

………TIMES……NOT……TOTAL
POST
NOT ………………0………
TOT…………………………100

(2) The number of residents who read only the Times was 46. sufic

………TIMES……NOT……TOTAL
POST…………………………[54]
NOT …[46]…………[0]……[46]
TOT…………………………100

Post = 54

Ans (B)

CR Forum Moderator

Joined: 18 May 2019

Posts: 706

Re: 100 residents of a city were surveyed and each one read at least one [#permalink]

Show Tags

09 Dec 2019, 10:10

From the question stem, we know that the total number of people in the town, S=100.
We also know that each person in the town read at least one of the two newspapers, the Times and the Post. This implies none=0.

We are to determine how many residents read the Post.

Statement 1: The number of residents who read no newspapers is zero.
This is insufficient. Statement 1 is a distraction. We have already inferred statement 1 from the information provided in the question stem. It is a trick because it might make you think that you already don't have this information given in the question stem.

Statement 2: The number of residents who read only the Times was 46.
This is sufficient. We know that the number of people who read the post = S - those who read only the Times
so The number who read the Times can be determined as = 100-46 = 54.

The answer is therefore B.

Director

Joined: 25 Jul 2018

Posts: 544

Re: 100 residents of a city were surveyed and each one read at least one [#permalink]

Show Tags

09 Dec 2019, 14:03

Total = 100 residents
—> Each one read at least one of the town's two newspapers, the Times and the Post. —> neither =0

—> Post =???

(Statement1): Neither= 0
Clearly insufficient. —> it is already mentioned above.

(Statement2): Only Times = 46
100 = only Post + only Times + both
—> only Post + both= 100 —46 = 54
Sufficient

The answer is B

Posted from my mobile device

Senior Manager

Joined: 01 Mar 2019

Posts: 438

Location: India

Concentration: Strategy, Social Entrepreneurship

Schools: Ross '22, ISB '20, NUS '20

GPA: 4

Re: 100 residents of a city were surveyed and each one read at least one [#permalink]

Show Tags

09 Dec 2019, 17:29

(1) The number of residents who read no newspapers is zero......it's already mentioned in the question

(2) The number of residents who read only the Times was 46..... clearly sufficient=100-46=54

OA:B

Posted from my mobile device

Manager

Status: Student

Joined: 14 Jul 2019

Posts: 169

Location: United States

Concentration: Accounting, Finance

Schools: Zicklin Baruch "22

GPA: 3.9

WE: Education (Accounting)

Re: 100 residents of a city were surveyed and each one read at least one [#permalink]

Show Tags

09 Dec 2019, 19:26

100 residents of a city were surveyed and each one read at least one of the town's two newspapers, the Times and the Post. How many residents read the Post?

(1) The number of residents who read no newspapers is zero.

(2) The number of residents who read only the Times was 46.

1) This is just another expression of the line "each one read at least one of the town's two newspapers, the Times and the Post" > not sufficient.

2) The other 54 read the Post or both. > Sufficient.

IMHO B is the answer. But if there is other newspapers read by the 100 residents of the city other than the mentioned 2, then E will be answer. So I'm confused regarding this.

Re: 100 residents of a city were surveyed and each one read at least one [#permalink] 09 Dec 2019, 19:26

Print view

First unread post

100 residents of a city were surveyed and each one read at least one

ANNOUNCEMENTS

GMAT / MBA YouTube Live Classes

Upcoming YouTube Sessions:

Mon 2/17: 3 Clear Steps to a Better MBA Application
Tue 2/18: Linear Diophantine Equations: Ax+By=C
Wed 2/19: How to Choose Your MBA Recommenders
Thu 2/20: How to Succeed Coming from an Overrepresented Background
Fri 2/21: Networking for your MBA applications
Sat 2/22: Key Reading Strategies to Ace GMAT RC

Best of Last Week:

SUBSCRIBE to our YouTube Channel to Get Timely Reminders of Your Sessions AND Get GMAT Club Tests FREE for 7 Days

[size=110][b]Upcoming YouTube Sessions:[/b][/size][list]
[*][b][color=#959595]Mon 2/17:[/color][/b] [url=https://www.youtube.com/watch?v=AQEsUN86sZw][u][color=#959595]3 Clear Steps to a Better MBA Application[/color][/u][/url]
[*][color=#9e0b0f][b]Tue 2/18:[/b][/color] [url=https://www.youtube.com/watch?v=SCf-HrtYUMg][color=#9e0b0f][u][b]Linear Diophantine Equations: Ax+By=C[/b][/u][/color][/url]
[*][b]Wed 2/19:[/b] [url=https://www.youtube.com/watch?v=tFlDqaQo8Pg][u]How to Choose Your MBA Recommenders[/u][/url]
[*][b]Thu 2/20:[/b] [url=https://www.youtube.com/watch?v=yRb5UqmBM8E][u]How to Succeed Coming from an Overrepresented Background[/u][/url]
[*][b]Fri 2/21:[/b] [url=https://www.youtube.com/watch?v=AjwPfa5Hd6k][u]Networking for your MBA applications[/u][/url]
[*][b]Sat 2/22:[/b] [url=https://www.youtube.com/watch?v=_ecorE_rQhc][u]Key Reading Strategies to Ace GMAT RC[/u][/url][/list]

[size=110][b]Best of Last Week:[/b][/size] [list][*] - [url=https://www.youtube.com/watch?v=Dq91dyMyCSo][u]Common Traps to Avoid in GMAT Data Sufficiency Questions[/u][/url]
[*] - [url=https://www.youtube.com/watch?v=Ki12wZteFFA][u]Common Mistakes in MBA Interviews and How to Avoid Them[/u][/url][/list]

[url=https://www.youtube.com/user/gmatclub?sub_confirmation=1][u][b]SUBSCRIBE[/b][/u][/url] to our YouTube Channel to Get Timely Reminders of Your Sessions AND [url=https://gmatclub.com/google_verify.php][u]Get GMAT Club Tests FREE for 7 Days[/u][/url]

Tue, Feb 18: Chat with Booth 2nd Year Student

8am PST (11am ET / 4pm GMT / 9:30pm IST)

I’ll be available in the new Chicago Booth CHAT on Tue the 18th Feb to answer your questions about Chicago Booth.

FEB 17: GMAT Club Tests Are Free

GMAT Club Tests and Quizzes are Open/Free for 24 Hours on Presidents Day Holiday

Thu, Feb 20: Live Chat with Johnson Adcom

10:30am ET (3:30pm GMT / 9pm IST) |
GMAT Club Chat Room

Chelsea Hann, Admission Director of Cornell johnson, will interact with applicants and answer their questions about Cornell’s MBA program & applications.

Signup here to get email reminder of this chat.

Tuck MBA

Timely & Timeless: Inside Tuck’s First-Year Core Curriculum. Click for an in-depth look at Tuck’s enhanced first-year experience.
Open Your Tuck Application

GMAT Club REWARDS