NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 00:20 It is currently 26 Apr 2024, 00:20
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If 60 percent of respondents answered Yes to the first question of a

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92917
Own Kudos [?]: 619082 [7]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
If 60 percent of respondents answered Yes to the first question of a [#permalink] New post   02 Aug 2018, 00:43
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

73% (01:48) correct 27% (02:17) wrong based on 123 sessions
Hide Show timer Statistics
If 60 percent of respondents answered Yes to the first question of a survey, 35 percent answered Yes to the second question, and 15 percent answered No to both questions, what percent of the respondents answered Yes to both questions?

A. 10%
B. 25%
C. 40%
D. 55%
E. 70%
ShowHide Answer
Official Answer
A
User avatar
L
pushpitkc
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 2873
Own Kudos [?]: 5206 [1]
Given Kudos: 47
Location: India
GPA: 3.12
Send PM
If 60 percent of respondents answered Yes to the first question of a [#permalink] New post   02 Aug 2018, 01:19
1
Kudos
Bunuel wrote:
If 60 percent of respondents answered Yes to the first question of a survey, 35 percent answered Yes to the second question, and 15 percent answered No to both questions, what percent of the respondents answered Yes to both questions?

A. 10%
B. 25%
C. 40%
D. 55%
E. 70%


Let's assume 100 people took the Survey.

Exactly (60)60% answered YES for the first question -> 40 answered NO for the first question
Since (35)35% answered YES for the 2nd question -> 65 answered NO for the second question.

As a total of 15 answered NO for both the questions, 40 + 65 - 15 = 90 answered NO for both
the questions. This also means that 100 - 90 or 10 people answered YES to both the questions.

Therefore, the percentage of respondents who answered YES for both questions is \(\frac{10}{100} =\)10%(Option A)
User avatar
L
gmat1393
Retired Moderator
Joined: 25 Apr 2018
Posts: 654
Own Kudos [?]: 2222 [4]
Given Kudos: 199
GMAT 1: 680 Q49 V34
Send PM
Reviews Badge
Re: If 60 percent of respondents answered Yes to the first question of a [#permalink] New post   02 Aug 2018, 01:22
3
Kudos
Bunuel wrote:
If 60 percent of respondents answered Yes to the first question of a survey, 35 percent answered Yes to the second question, and 15 percent answered No to both questions, what percent of the respondents answered Yes to both questions?

A. 10%
B. 25%
C. 40%
D. 55%
E. 70%


Assuming the class size as 100 we get the Answer as 10 as per below.
Attachments

Capture1.PNG
Capture1.PNG [ 2.4 KiB | Viewed 5303 times ]

User avatar
P
carouselambra
Current Student
Joined: 14 Mar 2018
Posts: 318
Own Kudos [?]: 441 [0]
Given Kudos: 43
Send PM
Re: If 60 percent of respondents answered Yes to the first question of a [#permalink] New post   29 Oct 2020, 23:36
Hi Bunuel yashikaaggarwal

Could you please help? I understood the solution after looking at the above posts but I was trying via double matrix.
Below is my working and I want to understand what is wrong.

Q1 - Yes - 60% , so 40% would have said no
Q2- Yes - 35% , so 65% would have said no

But we know that,No (Q1+Q2) = 15%
Will this not translate into 85% people answering 'Yes' to both questions?
Thereafter, we can check, 95% of 85 will give us the number of folks who answered 'Yes' to both questions.
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16598 [0]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: If 60 percent of respondents answered Yes to the first question of a [#permalink] New post   30 Oct 2020, 01:17
Expert Reply
First question - YES - 60%

Second question - YES - 35%

Both Question - No - 15% : Both question 'YES': 100 - 15 = 85%

Percent of the respondents answered Yes to both questions: 60 + 35 - 85 = 10

Answer A
User avatar
P
carouselambra
Current Student
Joined: 14 Mar 2018
Posts: 318
Own Kudos [?]: 441 [0]
Given Kudos: 43
Send PM
Re: If 60 percent of respondents answered Yes to the first question of a [#permalink] New post   30 Oct 2020, 01:30
MathRevolution wrote:
First question - YES - 60%

Second question - YES - 35%

Both Question - No - 15% : Both question 'YES': 100 - 15 = 85%

Percent of the respondents answered Yes to both questions: 60 + 35 - 85 = 10

Answer A


Whoops. That was a bad miss.
Thanks :)
avatar
B
hkkat
Intern
Intern
Joined: 07 Oct 2020
Posts: 37
Own Kudos [?]: 17 [1]
Given Kudos: 97
Send PM
Re: If 60 percent of respondents answered Yes to the first question of a [#permalink] New post   30 Oct 2020, 07:41
1
Bookmarks
assume we have 100 people

Yes to first question: 100 x 60% = 60
Yes to second question: 100 x 35% = 35

100 = 60 + 35 -both +15
10= both

the equation is:
Total = A + B – Both + Neither

so the answer is A
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32680
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: If 60 percent of respondents answered Yes to the first question of a [#permalink] New post   03 Apr 2024, 21:24
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 Club Bot
gmatclubot
Re: If 60 percent of respondents answered Yes to the first question of a [#permalink]
03 Apr 2024, 21:24
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions