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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

At least 100 students at a certain high school study japanes [#permalink]
17 Oct 2009, 12:07

4

This post received KUDOS

23

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

42% (02:14) correct
58% (01:28) wrong based on 738 sessions

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.

Re: Japanese studetns [#permalink]
17 Oct 2009, 13:05

28

This post received KUDOS

Expert's post

25

This post was BOOKMARKED

amitgovin 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 schoool who study japanese also study french.

please explain. thanks.

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

Q: is \(F>J\)?

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

number of japanese students >= 100 number of students who study japanese and french = 4% of french students

st 1) 16 studens study both japanese and french = 4% of french studens so number of french students = 16 * 100/4 = 400 but we dont know how many studetns study japanese. Not sufficient

st 2) number of students who study japanese and french = 10% of japanese = 4% of french so french studens > japanese students Sufficient

Atleast 100 students at a certain high school study Japanes. If 4 Percent of the students at the school who study French also study Japanes, do more students at the school study French than Japanes

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

Please explain the way to solve these kind of probelms.

Thanks -H

Is it B? 1. 16 students study both F and J, so there are 400 students studying F: insuff 2. 10% J study F while 4%F study J, so the number of students studying F is greater than that of studens studying J

1. 16 students study both French and Japanese. This means 400 students study French, since 4% of 400 is 16, however we don't know how many students study Japanese. INSUFF

2. This tells us 0.1J also study French. This number is actually identical to 0.04F because it represents the same quantity, which is the number of students who study both French and Japanese!

=> 0.1J = 0.04F => J = 0.4F Thus more students study Japanese than French! Sufficient

The 4% is for J&F not F alone (Thus it comprises students who study both Japanese and French). Hence, the statement 10% of J = 4 % of F is not correct. If we combine the two statements, we will get a definite answer:

From (1), we get F=400 From (2), we get 10% of J = 4% of J&F. From (1), J&F=16, therefore, if 10% of J = 16, J=160. Thus J<F. The two statements combined are sufficient.

The 4% is for J&F not F alone (Thus it comprises students who study both Japanese and French). Hence, the statement 10% of J = 4 % of F is not correct. If we combine the two statements, we will get a definite answer:

From (1), we get F=400 From (2), we get 10% of J = 4% of J&F. From (1), J&F=16, therefore, if 10% of J = 16, J=160. Thus J<F. The two statements combined are sufficient.

Correct me if I am wrong...

Thus, my ans. is (C).

OA for this question is B.

Let # of students who study Japanese be \(J\), the # of of students who study French be \(F\) and # of students who study Japanese and French be \(F&J\).

From stem # of students who study Japanese and French is 4% of the # of students who study French --> \(F&J=4%F\);

From (2) # of students who study Japanese and French is 10% of the # of students who study Japanese (so MORE share of the same group) --> \(F&J=10%J\).

So, \(10%J=4%F\) --> \(\frac{F}{J}=2.5\) --> \(F>J\). _________________

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 schoool who study japanese also study french. Let's put it this way... From (1) --> 16 students study both F&J = 4% of F So F = 400, but we don't know how many students who study J coz they said "AT LEAST 100"

From (2) --> 10%J = 4%F --> we know that F is greater than J because only 4% of F is equal to 10% of J

16 students study F and J. There should be 400 students studying F. The number of J students could be any of 300 or 400 or 500 (lesser or greater? cannot tell).

Statement 2:

Let x be the number of students who study F and J.

x is 4% of F x is 10% of J. This implies that J is definitely lesser than F.

Re: Atleast 100 students - DS - 700 level [#permalink]
15 Aug 2010, 23:28

1

This post received KUDOS

lalithajob 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.

Let J represent the set of students studying Japanese and F represent the set of students studying French F^J is the set of students studying both Japanese and French From the question J>=100 , .04F= F^J , is F>J ?

1) F^J=16 => .04F =16 => F=400 . We still don't have any information about J. It can >=100. If 100<= j<400 , F>J. Otherwise F<=J. So not sufficient 2) .1J = F^J => .1J=.04F => F = 2.5 J . Clearly F is bigger than J. So sufficient

Answer B _________________

___________________________________ Please give me kudos if you like my post

Re: French & Japanese [#permalink]
19 Feb 2012, 19:15

Answer should be E. Here is how:

Question: 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?

Statement A: \(16\) students at the school study both French and Japanese.

We know that \(4%\) of the students who study french also study Japanese, which means that of those who study french, \(4%\) also study Japanese and there are \(16\) such people. So we can set up an equation as below:

Let \(x=\) no of people who study french. So:

\(\frac{4}{100}*(x)=16\) so \(x=400\) , so \(400\) people study French but we the number of Japanese students is greater than \(100\) and we do not know the exact number so japanese students could be less than \(400\) or greater than \(400\). Hence Insufficient.

Statement B: 10 percent of the students at the school who study Japanese also study French.

From Statement B we can see that:

\(4%\) of French Students \(= 10%\) of Japanese Students

So definitely the number of French Students is greater. Hence Sufficient.

Answer B. _________________

"Nowadays, people know the price of everything, and the value of nothing."Oscar Wilde

Helpful Geometry formula sheet:best-geometry-93676.html I hope these will help to understand the basic concepts & strategies. Please Click ON KUDOS Button.

Re: At least 100 students at a certain high school study japanes [#permalink]
14 Nov 2014, 02:06

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. _________________

At least 100 students at High school study Japanese. [#permalink]
22 Jan 2015, 22:33

Hey All,

Need to know...How to solve this DS Problem.

At least 100 students at High school study Japanese. If 4% of the students at the school who study French also study Japanese, Do more students study french than Japanese

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

Re: At least 100 students at a certain high school study japanes [#permalink]
23 Jan 2015, 02:21

Expert's post

sharadnc wrote:

Hey All,

Need to know...How to solve this DS Problem.

At least 100 students at High school study Japanese. If 4% of the students at the school who study French also study Japanese, Do more students study french than Japanese

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

At least 100 students at a certain high school study japanes [#permalink]
24 May 2015, 17:27

amitgovin 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.

Simply put:

Students who study both languages represent 4% of all French students (given in the Q) but 10% of all Japanese students (Statement 2). The number of French students then has to be higher than Japanese students.

Re: At least 100 students at a certain high school study japanes [#permalink]
26 May 2015, 23:44

Expert's post

This question can also be solved by using venn diagram.

Interpreting the Given Info The question tells us about students in a school studying Japanese and French. Let's represent them using a venn diagram.

a - Number of students who study only Japanese b - Students who study both Japanese and French c- Students who study only French d- Students who study neither Japanese nor French

We are given that atleast 100 students study Japanese i.e. a + b => 100

Also we are told that 4% of the students who study French also study Japanese i.e. 4%(b + c) = b. It can be simplified to c = 24b

We are asked to find if there are more students at the school who study French than Japanese i.e. if b + c > b + a, which simplifies to c > a?

We can either i. find the values of c and a to answer the question or ii. express a in terms of b and then compare it with c to answer the question.

Let's see if the statements provide us with the required information.

Statement-I St-I tells us that 16 students study both French and Japanese i.e. b = 16. This would give us a => 84 and c = 384. As a => 84, a > 384 or a < 384. Since we do not have a definite value of a we can't say for sure if c > a.

Hence st-I is insufficient to answer the question.

Statement-II St-II tells us that 10% of the students who study French also study Japanese i.e. 10%(a + b) = b i.e. a = 9b. Now, we have a and c both in terms of b. We see that c =24b and a = 9b i.e. c > a .

Re: At least 100 students at a certain high school study japanes [#permalink]
12 Oct 2015, 04:26

Bunuel wrote:

amitgovin 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 schoool who study japanese also study french.

please explain. thanks.

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

Q: is \(F>J\)?

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

How should one interpret "If 4 percent of the students at the school who study French also study Japanese"

I took it in this way

Suppose total num of students who know F =100 So 4% of this know both J and F , this doesn't mean that the entire number of students who know both F & J is 4

Its just telling out of 100 french 4 know both J and F and further if it is stated that out of 200 J students 20 know both

Then total no of students who know J & F is 24.

After viewing your explanation ,came to know that "If 4 percent of the students at the school who study French also study Japanese" talks about the entire num of students who know J & F not just subset.

Can you let us know how to avoid such blunders.

gmatclubot

Re: At least 100 students at a certain high school study japanes
[#permalink]
12 Oct 2015, 04:26

Low GPA MBA Acceptance Rate Analysis Many applicants worry about applying to business school if they have a low GPA. I analyzed the low GPA MBA acceptance rate at...

UNC MBA Acceptance Rate Analysis Kenan-Flagler is University of North Carolina’s business school. UNC has five programs including a full-time MBA, various executive MBAs and an online MBA...

To hop from speaker to speaker, to debate, to drink, to dinner, to a show in one night would not be possible in most places, according to MBA blogger...

Most top business schools breed their students for a career in consulting or financial services (which is slowly being displaced by high tech and entrepreneurial opportunities). Entry into...