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

 It is currently 21 Nov 2018, 04:52

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

November 22, 2018

November 22, 2018

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
• ### Free lesson on number properties

November 23, 2018

November 23, 2018

10:00 PM PST

11:00 PM PST

Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

# Of the students in a certain school, 15 percent are enrolled in an art

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50729
Of the students in a certain school, 15 percent are enrolled in an art  [#permalink]

### Show Tags

15 Nov 2017, 08:25
00:00

Difficulty:

35% (medium)

Question Stats:

70% (01:30) correct 30% (01:43) wrong based on 102 sessions

### HideShow timer Statistics

Of the students in a certain school, 15 percent are enrolled in an art class and 10 percent are enrolled in a music class. What percent of the students in the school are enrolled in neither an art class nor a music class?

(1) 2/3 of the students who are enrolled in an art class are also enrolled in a music class.

(2) There are more than 100 students in the school.

_________________
DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1375
Location: India
Re: Of the students in a certain school, 15 percent are enrolled in an art  [#permalink]

### Show Tags

15 Nov 2017, 09:55
(1) those enrolled in art class = 15%, those enrolled in music class = 10%.
those enrolled in both classes = 2/3 of 15% = 10%
So those enrolled in either art or music class or both = 15% + 10% - 10% = 15%

Thus those in neither of the two classes = 100-15 = 85%. Sufficient.

(2) More than 100 students in school. Insufficient.

Intern
Joined: 14 Aug 2017
Posts: 42
Concentration: Operations, Social Entrepreneurship
GMAT 1: 610 Q48 V26
Re: Of the students in a certain school, 15 percent are enrolled in an art  [#permalink]

### Show Tags

21 Nov 2017, 01:44
Following the grid method we can easily calculate the answer to the given question the stem

Assume there are 100 students in the class

From 1st statement

Art No Art Total
Music 10 0 10

No Music 5 85 90

15 85 100

85% percent of the students in the school are enrolled in neither an art class nor a music class?

2nd Statement does not give us anything and therefore is not sufficient.

(A) is the only statement which is sufficient to answer.
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: Of the students in a certain school, 15 percent are enrolled in an art  [#permalink]

### Show Tags

27 Nov 2017, 11:15
1
Bunuel wrote:
Of the students in a certain school, 15 percent are enrolled in an art class and 10 percent are enrolled in a music class. What percent of the students in the school are enrolled in neither an art class nor a music class?

(1) 2/3 of the students who are enrolled in an art class are also enrolled in a music class.

(2) There are more than 100 students in the school.

We can let the total number of students = n, so we have 0.15n students in art class and 0.1n students in music class. We can also use the following the equation:

n = 0.15n + 0.1n - both + neither

n = 0.25n - both + neither

0.75n = neither - both

Notice that we need to determine “neither”. We see that if we know “both” in terms of n, then we can determine “neither” in terms of n and, hence, “neither” as a percentage of n, the total number of students in the school.

Statement One Alone:

2/3 of the students who are enrolled in an art class are also enrolled in a music class.

Thus, we know that ⅔(0.15n) = 0.1n both, so we have:

0.75n = neither - 0.1n

0.85n = neither

Thus “neither” is 0.85n/n = 0.85 = 85% of the total number of students.

Statement one alone is sufficient to answer the question.

Statement Two Alone:

There are more than 100 students in the school.

Statement two does not provide enough information to answer the question.

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: Of the students in a certain school, 15 percent are enrolled in an art &nbs [#permalink] 27 Nov 2017, 11:15
Display posts from previous: Sort by