It is currently 13 Dec 2017, 07:18

# Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1

### 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 June
Open Detailed Calendar

# A foreign language club at Washington Middle School consists

Author Message
TAGS:

### Hide Tags

Manager
Joined: 16 Jan 2013
Posts: 176

Kudos [?]: 436 [0], given: 56

A foreign language club at Washington Middle School consists [#permalink]

### Show Tags

29 Dec 2013, 10:53
2
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

82% (01:34) correct 18% (02:15) wrong based on 217 sessions

### HideShow timer Statistics

A foreign language club at Washington Middle School consists of n students, 2/5 of whom are boys. All of the students in the club study exactly one foreign language. 1/3 of the girls in the club study Spanish and 5/6 of the remaining girls study French. If the rest of the girls in the club study German, how many girls in the club, in terms of n, study German?

A. 2n/5
B. n/3
C. n/5
D. 2n/15
E. n/15
[Reveal] Spoiler: OA

_________________

What are modifiers ??

Kudos [?]: 436 [0], given: 56

Math Expert
Joined: 02 Sep 2009
Posts: 42582

Kudos [?]: 135494 [1], given: 12696

Re: A foreign language club at Washington Middle School consists [#permalink]

### Show Tags

29 Dec 2013, 11:04
1
KUDOS
Expert's post
4
This post was
BOOKMARKED
sivasanjeev wrote:
A foreign language club at Washington Middle School consists of n students, 2/5 of whom are boys. All of the students in the club study exactly one foreign language. 1/3 of the girls in the club study Spanish and 5/6 of the remaining girls study French. If the rest of the girls in the club study German, how many girls in the club, in terms of n, study German?

A. 2n/5
B. n/3
C. n/5
D. 2n/15
E. n/15

2/5 of the students are boys, thus 3/5 of the students are girls.

1/3 of the girls in the club study Spanish and 5/6 of the remaining girls study French. Thus 5/6 of 2/3, or 10/18, of the girls study French.

The rest of the girls study German, thus 1-(1/3+10/18)=1/9 of the girls study German.

Since girls comprise 3/5 of the students, then 3/5*1/9=1/15 of all students study German.

_________________

Kudos [?]: 135494 [1], given: 12696

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1849

Kudos [?]: 2786 [3], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
A foreign language club at Washington Middle School consists [#permalink]

### Show Tags

09 Mar 2014, 20:36
3
KUDOS
No. of boys $$= \frac{2n}{5}$$

No. of girls $$= \frac{3n}{5}$$ ............. (1)

Girls studying Spanish $$= \frac{3n}{5} * \frac{1}{3} = \frac{n}{5}$$ .............. (2)

Remaining girls $$= \frac{3n}{5} - \frac{n}{5} = \frac{2n}{5}$$

Girls studying French $$= \frac{2n}{5} * \frac{5}{6} = \frac{n}{3}$$ ............... (3)

Remaining girls studying German = (1) - (2) - (3)

$$= \frac{3n}{5} - \frac{n}{5} - \frac{n}{3}$$

= $$\frac{n}{15}$$ = Answer = E
_________________

Kindly press "+1 Kudos" to appreciate

Last edited by PareshGmat on 12 Nov 2014, 02:58, edited 1 time in total.

Kudos [?]: 2786 [3], given: 193

Intern
Joined: 07 Mar 2014
Posts: 16

Kudos [?]: 26 [1], given: 10

Location: India
A foreign language club at Washington Middle School consists [#permalink]

### Show Tags

12 Nov 2014, 02:45
1
KUDOS
Firstly choose any value (But keep fractions in mind : for example you have $$\frac{1}{4}$$ and $$\frac{1}{3}$$ , so try to take LCM of the fractions. in this case it will be $$12$$)

Back to the question

Let us choose $$300$$

total no. of students = $$300$$

no. of boys = $$\frac{2}{5} *300 = 120$$

therfore no. of girls = $$300-120 = 180$$

now, no. of girls studying spanish = $$\frac{1}{3} * 180 = 60$$

no. of girls studying french = $$\frac{5}{6} * 120 = 100$$

thus, no. of girls studying german = $$20$$

so to find the answer we put value of n and the option which gets 20 as value is our answer

$$A . \frac{2n}{5} = 2 * \frac{300}{5} =120$$
$$B. \frac{n}{3} = \frac{300}{3} = 100$$
$$C. \frac{n}{5} = \frac{300}{5} = 60$$
$$D. \frac{2n}{15} = 2 * \frac{300}{15} = 40$$
$$E. \frac{n}{15} = \frac{300}{15} = 20$$

Kudos [?]: 26 [1], given: 10

Non-Human User
Joined: 09 Sep 2013
Posts: 14874

Kudos [?]: 287 [0], given: 0

Re: A foreign language club at Washington Middle School consists [#permalink]

### Show Tags

25 Feb 2016, 16:20
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.
_________________

Kudos [?]: 287 [0], given: 0

Non-Human User
Joined: 09 Sep 2013
Posts: 14874

Kudos [?]: 287 [0], given: 0

Re: A foreign language club at Washington Middle School consists [#permalink]

### Show Tags

27 Sep 2017, 05:45
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.
_________________

Kudos [?]: 287 [0], given: 0

Re: A foreign language club at Washington Middle School consists   [#permalink] 27 Sep 2017, 05:45
Display posts from previous: Sort by