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:

The members of a club were asked whether they speak [#permalink]

Show Tags

05 Aug 2007, 04:32

6

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

37% (02:28) correct
63% (02:22) wrong based on 139 sessions

HideShow timer Statistics

The members of a club were asked whether they speak Cantonese, Mandarin and Japanese. 100 said that they spoke Cantonese, 150 said that they spoke Mandarin and 200 said that they spoke Japanese. 120 said that they spoke exactly two of the three languages. How many members does the club have?

(1) There are twice as many members who speak none of the languages as there are who speak all three languages. (2) Half of the members who speak Japanese and Cantonese also speak Mandarin.

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

05 Aug 2007, 08:12

kevincan wrote:

The members of a club were asked whether they speak Cantonese, Mandarin and Japanese. 100 said that they spoke Cantonese, 150 said that they spoke Mandarin and 200 said that they spoke Japanese. 120 said that they spoke exactly two of the three languages. How many members does the club have?

(1) There are twice as many members who speak none of the languages as there are who speak all three languages. (2) Half of the members who speak Japanese and Cantonese also speak Mandarin.

A for me.
Set x = number of people who speak all three languages.
(1) (100+150+200) - 120 - 2x + Neither = Total
Neither = 2x
We can cancel out the 2x in the equation; thus, find the total.
SUFFICIENT.

(2) Don't know anything about "Neither" information. INSUFFICIENT.

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

05 Aug 2007, 08:34

kevincan wrote:

The members of a club were asked whether they speak Cantonese, Mandarin and Japanese. 100 said that they spoke Cantonese, 150 said that they spoke Mandarin and 200 said that they spoke Japanese. 120 said that they spoke exactly two of the three languages. How many members does the club have?

(1) There are twice as many members who speak none of the languages as there are who speak all three languages. (2) Half of the members who speak Japanese and Cantonese also speak Mandarin.

I take A here

Given that

Cantonese = 100
Mandarin = 150
Japanese = 200

Let x,y and z represent the ONLY 2 lanuages sections in the Venn diagram and "t " represent all three

So

Only Cantonsese = 100 - (x+y+t)
Only Mandarin = 150 - (x+z+t)
Only Japanese = 200 - (z+y+t)

Formula now goes as

Total = Only A + Only B + Only C + Only AB+ Only BC+ Only CA + ABC + None

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

06 Aug 2007, 13:46

dahcrap wrote:

bkk145 wrote:

kevincan wrote:

The members of a club were asked whether they speak Cantonese, Mandarin and Japanese. 100 said that they spoke Cantonese, 150 said that they spoke Mandarin and 200 said that they spoke Japanese. 120 said that they spoke exactly two of the three languages. How many members does the club have?

(1) There are twice as many members who speak none of the languages as there are who speak all three languages. (2) Half of the members who speak Japanese and Cantonese also speak Mandarin.

A for me. Set x = number of people who speak all three languages. (1) (100+150+200) - 120 -2x + Neither = Total Neither = 2x [b] I think the highlighted sign shud be + and not -[/b] We can cancel out the 2x in the equation; thus, find the total. SUFFICIENT.

(2) Don't know anything about "Neither" information. INSUFFICIENT.

The answer has to be E

I am quite sure it is negative there...if you have sum of all the numbers, you have to subtract all the "repeats", then add neither to equal to total.

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

06 Aug 2007, 17:32

Here is why i say we add the triple..

see when we calculate the doubles..it already takes into account the triple...i.e we have already minused the triple to get the doubles... so we cant deduct triple again cause we have already taken em into account..

bkk145 wrote:

fresinha12 wrote:

dont we add the singles, minus the doubles and add the triples????

kevincan wrote:

OA=A

If you can explain why you should add the triple, I'll see if I can say something...

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

06 Aug 2007, 18:12

fresinha12 wrote:

Here is why i say we add the triple..

see when we calculate the doubles..it already takes into account the triple...i.e we have already minused the triple to get the doubles... so we cant deduct triple again cause we have already taken em into account..

bkk145 wrote:

fresinha12 wrote:

dont we add the singles, minus the doubles and add the triples????

kevincan wrote:

OA=A

If you can explain why you should add the triple, I'll see if I can say something...

No, double doesn't take triple into account. They are different. If the question say something like "two or more languages", then it would take triple into account. But this problem said specifically that exactly two languages.

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

07 Aug 2007, 09:26

OK let me understand...

in a 3 set venn diagram...say C for chinese, M for Mandarian and J for Japense

120 speak exactly 2 languages...is equal to the sum of intersect of C n J, C n M and J n M...?? right if thats the case then 120 has already minused the number of people who speak C+J+M, correct?

bkk145 wrote:

fresinha12 wrote:

Here is why i say we add the triple..

see when we calculate the doubles..it already takes into account the triple...i.e we have already minused the triple to get the doubles... so we cant deduct triple again cause we have already taken em into account..

bkk145 wrote:

fresinha12 wrote:

dont we add the singles, minus the doubles and add the triples????

kevincan wrote:

OA=A

If you can explain why you should add the triple, I'll see if I can say something...

No, double doesn't take triple into account. They are different. If the question say something like "two or more languages", then it would take triple into account. But this problem said specifically that exactly two languages.

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

07 Aug 2007, 13:10

fresinha12 wrote:

OK let me understand...

in a 3 set venn diagram...say C for chinese, M for Mandarian and J for Japense

120 speak exactly 2 languages...is equal to the sum of intersect of C n J, C n M and J n M...?? right if thats the case then 120 has already minused the number of people who speak C+J+M, correct?

bkk145 wrote:

fresinha12 wrote:

Here is why i say we add the triple..

see when we calculate the doubles..it already takes into account the triple...i.e we have already minused the triple to get the doubles... so we cant deduct triple again cause we have already taken em into account..

bkk145 wrote:

fresinha12 wrote:

dont we add the singles, minus the doubles and add the triples????

kevincan wrote:

OA=A

If you can explain why you should add the triple, I'll see if I can say something...

No, double doesn't take triple into account. They are different. If the question say something like "two or more languages", then it would take triple into account. But this problem said specifically that exactly two languages.

That's right. Let's look at something more simple and neglect "neither" at this point.
1) Say 2 people speak Chinese, 2 people speaker Mandarin, and 2 people speak Japanese. Say 3 speak "exactly two languages". Let x = people who speaker all three languages, we have:
2+2+2-3-2x = people who speak one language

2) If 3 people speak "two languages or more", then 2+2+2-3-x = people who speak only one language.

Notice the "2" factor is missing in the second one. The idea here is that if you speak two languages, then it overlap one time. If you speak all, then it overlap two times.

I hope I didn't confuse you even more. I think my reasoning is right, but feel free to correct if anyone disagree.

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

27 Nov 2007, 10:52

1

This post received KUDOS

The members of a club were asked whether they speak Cantonese, Mandarin, and Japanese. 100 said that they spoke Cantonese, 150 said that they spoke Mandarin and 200 said that they spoke Japanese. 120 said that they spoke exactly 2 of the 3 languages. How many members does the club have?

1. there are twice as many members who speak none of the languages as there are who speak all 3 languages.

2. half of the members who speak Japanese and Cantonese also speak Mandarin.

I don't have the answer...in my opinion that's E....does smbd thinks differently?

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

27 Nov 2007, 11:04

marcodonzelli wrote:

The members of a club were asked whether they speak Cantonese, Mandarin, and Japanese. 100 said that they spoke Cantonese, 150 said that they spoke Mandarin and 200 said that they spoke Japanese. 120 said that they spoke exactly 2 of the 3 languages. How many members does the club have?

1. there are twice as many members who speak none of the languages as there are who speak all 3 languages.

2. half of the members who speak Japanese and Cantonese also speak Mandarin.

I don't have the answer...in my opinion that's E....does smbd thinks differently?

x = 100 + 150 +200 - 120 - [all three languages *2] + neither

1. tell us relative info on the 2 variables
insuff
2. irrelvant as we already know 120 consists of all the overlap of 2 language-speaking ppl
insuff

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

03 Dec 2007, 09:50

I think it's C, the two statements together are sufficient.

The total number of members has to be:

100 Cantonese
+150 Mandarin
+200 Japanese
less 120 (speak exactly 2)
less (speak all 3)*2
less speak none

So we need to know how many speak all three languages and how many speak none.

Does 1 answer this for us? Obviously not. But it does give us interesting information - twice as many speak none as speak all three.

2 tells us that half of those who speak Japanese (100) and half of those who speak Cantonese (50) also speak Mandarin. Since only 120 speak exactly 2 languages, 30 must speak all three. But still we don't know how many speak none.

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

03 Dec 2007, 10:10

Raffie wrote:

I think it's C, the two statements together are sufficient.

The total number of members has to be:

100 Cantonese +150 Mandarin +200 Japanese less 120 (speak exactly 2) less (speak all 3)*2 less speak none

So we need to know how many speak all three languages and how many speak none.

Does 1 answer this for us? Obviously not. But it does give us interesting information - twice as many speak none as speak all three.

2 tells us that half of those who speak Japanese (100) and half of those who speak Cantonese (50) also speak Mandarin. Since only 120 speak exactly 2 languages, 30 must speak all three. But still we don't know how many speak none.

If we combine 2 with 1 we get the answer.

We are trying to find ALL members.
Why are you using for all of them MINUS non languages???
But U right, we can find answer because "exactly 2 languages" gives us necessary info.

Last edited by Blad on 03 Dec 2007, 10:11, edited 1 time in total.

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

03 Dec 2007, 10:11

If you fill it up this way, it doesn't add up. 120 people who speak both Japanese and Cantonese + 30 who speak all three = 150. But only 100 speak Cantonese.

Without more information on how all the people who speak 2 languages we can't solve. At least I can't. Love to hear to OE.

Raffie wrote:

I think it's C, the two statements together are sufficient.

The total number of members has to be:

100 Cantonese +150 Mandarin +200 Japanese less 120 (speak exactly 2) less (speak all 3)*2 less speak none

So we need to know how many speak all three languages and how many speak none.

Does 1 answer this for us? Obviously not. But it does give us interesting information - twice as many speak none as speak all three.

2 tells us that half of those who speak Japanese (100) and half of those who speak Cantonese (50) also speak Mandarin. Since only 120 speak exactly 2 languages, 30 must speak all three. But still we don't know how many speak none.

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

04 Dec 2007, 07:37

1

This post received KUDOS

Let those that speak C&M (but not J) = x, C&J (but not M) = y and M&J (but not C) = z

From the stimulus, we know that x + y + z = 120

Let those that speak C&M&J = w

Total members = (C - x - y - w) + (M - x - z - w) + (J - y - z - w) + x + y + z + w + None

Total members = C + M + J -(x + y + z) - 2w + None

Total members = 330 - 2w + None (as mentioned in previous post)

From Statement1: we know that: None = 2w

Total members = 330 - 2w + 2w = 330. Therefore answer is A or D

From Statement2: we know that: y + w (all those that speak Japanese & Canotense) = 2w (all those that speak Japanese, Cantonese & Mandarin). Therefore y = w

Total members = 300 - 2y + None...still have two unknown variables, therefore INSUFFICIENT!

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

04 Dec 2007, 07:46

>2. half of the members who speak Japanese and Cantonese also speak Mandarin.
To me this implies
0.5 of the members how speak both Japanese and Cantonese (info we don't have)
and NOT
0.5 of the members how speak either Japanese or Cantonese (info we do have)

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

04 Dec 2007, 23:04

1

This post received KUDOS

marcodonzelli wrote:

The members of a club were asked whether they speak Cantonese, Mandarin, and Japanese. 100 said that they spoke Cantonese, 150 said that they spoke Mandarin and 200 said that they spoke Japanese. 120 said that they spoke exactly 2 of the 3 languages. How many members does the club have?

1. there are twice as many members who speak none of the languages as there are who speak all 3 languages.

2. half of the members who speak Japanese and Cantonese also speak Mandarin.

I don't have the answer...in my opinion that's E....does smbd thinks differently?

Getting A

Total = C + M + J - (2 of 3) - 2(all 3) + Niether
Total = 330 - 2(all 3) + Niether

Stat 1:
If x = all 3, then 2x = Niether
Total = 330 - 2x + 2x = 330. Sufficient

Stat 2:
Tells us that all 3 = 150 but doesn't say anything about niether. Insuff.

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

22 Nov 2014, 03:57

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.
_________________

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

22 Nov 2014, 04:15

1

This post received KUDOS

mantymooney wrote:

Total members = 330 - 2w + None (as mentioned in previous post)

How are we getting 330 here? For those who didn't understand how 330 is arrived at, here it is. Great work mantymooney!

Total members = (C - x - y - w) + (M - x - z - w) + (J - y - z - w) + x + y + z + w + None Total members = C - x- y - w + M - x - z- w + J - y - z - w + x+ y+ z + w + None Total members = C + M + J -(x + y + z) - 2w + None OR Total members = 100 + 150 + 200 -(120) - 2w + None OR Total members = 330 - 2w + None
_________________

Cheers!!

JA If you like my post, let me know. Give me a kudos!

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

25 Nov 2015, 17:53

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.
_________________

Re: The members of a club were asked whether they speak [#permalink]

Show Tags

13 Aug 2016, 06:45

Total - neither = C + M + J - ( (C&M) + (M&J) + ( C&J)) - 2 ( C&J&M)

Given C = 100 , M =150 , J =200 C&M) + (M&J) + ( C&J) = 120

a) A says Neither = 2 * ( C &J&M) When we equate this is above 3 overlapping set equation , then neither and all 3 cancelled out we left with Total = C + M + J - 120

A is sufficient to answer

gmatclubot

Re: The members of a club were asked whether they speak
[#permalink]
13 Aug 2016, 06:45

After days of waiting, sharing the tension with other applicants in forums, coming up with different theories about invites patterns, and, overall, refreshing my inbox every five minutes to...

I was totally freaking out. Apparently, most of the HBS invites were already sent and I didn’t get one. However, there are still some to come out on...

In early 2012, when I was working as a biomedical researcher at the National Institutes of Health , I decided that I wanted to get an MBA and make the...