It is currently 17 Oct 2017, 12:33

### 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

# At least 100 students at a certain high school study Japanes

Author Message
TAGS:

### Hide Tags

Intern
Joined: 01 Aug 2007
Posts: 31

Kudos [?]: 5 [1], given: 0

At least 100 students at a certain high school study Japanes [#permalink]

### Show Tags

31 Aug 2007, 10:25
1
KUDOS
4
This post was
BOOKMARKED
00:00

Difficulty:

95% (hard)

Question Stats:

46% (01:24) correct 54% (01:32) wrong based on 135 sessions

### HideShow timer Statistics

At least 100 students at a certain high school study Japanese. If 4 percent of the studetns at the school who study French also study Japanese, do more students at the school study french than Japanese?

(1) 16 students at the school study both French and Japanese
(2) 10 percent of the students at the school who study Japanese also study French.

OPEN DISCUSSION OF THIS QUESTION IS HERE: at-least-100-students-at-a-certain-high-school-study-japanes-92305.html
[Reveal] Spoiler: OA

Kudos [?]: 5 [1], given: 0

VP
Joined: 10 Jun 2007
Posts: 1436

Kudos [?]: 349 [2], given: 0

Re: At least 100 students at a certain high school study Japanes [#permalink]

### Show Tags

31 Aug 2007, 13:46
2
KUDOS
jp888 wrote:
At least 100 students at a certain high school study Japanese. If 4 percent of the students at the school who study French also study Japanese, do more students at the school study French than Japanese?

1) 16 students at the school study both French and Japanese
2) 10 percent of the students at the school who study Japanese also study French

B.

You are trying to find if F/J > 1?
(1) 16 students study both Japanese and French, that's 4% of the total number of students given from the question. So you have
16 = (4/100) * Total
Total = 400 students
You know that at least 100 students study Japanese and 16 studied both. So it could be that 101 students studied Japanese 299 studied French, or vice versa. INSUFFICIENT

(2) (10/100)*J = (4/100)*Total = (4/100)*(J+F)
=> F/J > 3/2
SUFFICIENT

Kudos [?]: 349 [2], given: 0

Director
Joined: 22 Aug 2007
Posts: 566

Kudos [?]: 71 [1], given: 0

Re: At least 100 students at a certain high school study Japanes [#permalink]

### Show Tags

31 Aug 2007, 18:02
1
KUDOS
jp888 wrote:
At least 100 students at a certain high school study Japanese. If 4 percent of the students at the school who study French also study Japanese, do more students at the school study French than Japanese?

1) 16 students at the school study both French and Japanese
2) 10 percent of the students at the school who study Japanese also study French

I got B

used a little different approach for 2nd statement

You are trying to find if F/J > 1?

1 st- copied from bbk post

(1) 16 students study both Japanese and French, that's 4% of the total number of students given from the question. So you have
16 = (4/100) * Total
Total = 400 students
You know that at least 100 students study Japanese and 16 studied both. So it could be that 101 students studied Japanese 299 studied French, or vice versa. INSUFFICIENT

(2) since # of students studying both is the same, I mean it is one.
we have 0.04(French)=0.1(Japanese)----->ratio of French to Japanese is more than 1

Sufficient

Kudos [?]: 71 [1], given: 0

Director
Joined: 22 Aug 2007
Posts: 566

Kudos [?]: 71 [0], given: 0

Re: At least 100 students at a certain high school study Japanes [#permalink]

### Show Tags

31 Aug 2007, 18:07
bkk145 wrote:
jp888 wrote:
At least 100 students at a certain high school study Japanese. If 4 percent of the students at the school who study French also study Japanese, do more students at the school study French than Japanese?

1) 16 students at the school study both French and Japanese
2) 10 percent of the students at the school who study Japanese also study French

B.

You are trying to find if F/J > 1?
(1) 16 students study both Japanese and French, that's 4% of the total number of students given from the question. So you have
16 = (4/100) * Total
Total = 400 students
You know that at least 100 students study Japanese and 16 studied both. So it could be that 101 students studied Japanese 299 studied French, or vice versa. INSUFFICIENT

(2) (10/100)*J = (4/100)*Total = (4/100)*(J+F)
=> F/J > 3/2
SUFFICIENT

Is not

total=F+J-both(F&J)...?

though ultimate result does not change.

Kudos [?]: 71 [0], given: 0

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16758

Kudos [?]: 273 [0], given: 0

Re: At least 100 students at a certain high school study Japanes [#permalink]

### Show Tags

19 Jun 2014, 05:47
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 [?]: 273 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128583 [0], given: 12180

Re: At least 100 students at a certain high school study Japanes [#permalink]

### Show Tags

19 Jun 2014, 06:06
Expert's post
1
This post was
BOOKMARKED
jp888 wrote:
At least 100 students at a certain high school study Japanese. If 4 percent of the studetns at the school who study French also study Japanese, do more students at the school study french than Japanese?

(1) 16 students at the school study both French and Japanese
(2) 10 percent of the students at the school who study Japanese also study French.

Given: $$J\geq{100}$$ and $$0.04*F=Both$$

Question: is $$F>J$$?

(1) $$Both=16=0.04*F$$ --> $$F=400$$. We don't know $$J$$. Not sufficient

(2) $$0.1*J=Both=0.04*F$$ (given) --> $$0.1*J=0.04*F$$ --> $$\frac{F}{J}=\frac{10}{4}$$ --> $$F>J$$. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: at-least-100-students-at-a-certain-high-school-study-japanes-92305.html
_________________

Kudos [?]: 128583 [0], given: 12180

Re: At least 100 students at a certain high school study Japanes   [#permalink] 19 Jun 2014, 06:06
Display posts from previous: Sort by