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

 It is currently 18 Dec 2018, 02:59

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

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

Events & Promotions

Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• Happy Christmas 20% Sale! Math Revolution All-In-One Products!

December 20, 2018

December 20, 2018

10:00 PM PST

11:00 PM PST

This is the most inexpensive and attractive price in the market. Get the course now!
• Key Strategies to Master GMAT SC

December 22, 2018

December 22, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

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

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51281
If 60 percent of respondents answered Yes to the first question of a  [#permalink]

Show Tags

01 Aug 2018, 23:43
00:00

Difficulty:

25% (medium)

Question Stats:

77% (01:45) correct 23% (02:08) wrong based on 31 sessions

HideShow 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%

_________________
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3327
Location: India
GPA: 3.12
If 60 percent of respondents answered Yes to the first question of a  [#permalink]

Show Tags

02 Aug 2018, 00:19
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)
_________________

You've got what it takes, but it will take everything you've got

CR Forum Moderator
Joined: 25 Apr 2018
Posts: 358
Re: If 60 percent of respondents answered Yes to the first question of a  [#permalink]

Show Tags

02 Aug 2018, 00:22
1
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 [ 2.4 KiB | Viewed 580 times ]

_________________

Project CR Butler - 2 CR's everyday

Re: If 60 percent of respondents answered Yes to the first question of a &nbs [#permalink] 02 Aug 2018, 00:22
Display posts from previous: Sort by