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# In a class of 30 students, 17 students study Chinese and r

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CEO
Joined: 15 Aug 2003
Posts: 3454
In a class of 30 students, 17 students study Chinese and r [#permalink]

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11 Sep 2003, 04:55
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3.In a class of 30 students, 17 students study Chinese and r students study Japanese. Every student studies either Chinese or Japaneseor both. How many students study both Chinese & Japanese?

(1) r=14

(2) 13 students take only Japanese
SVP
Joined: 30 Oct 2003
Posts: 1790
Location: NewJersey USA

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19 Jan 2004, 11:00
D I guess

T = C + J - Both
So Both = C+J-T

From A)
Both = 17+14-30 = 1

From B)
14 study only Japanese so 17 mist either study
Both J & C or just C
So we know how many Chinese.

Sorry I think it is just A. Since the stem is asking for Both C and J and not just C.
Intern
Joined: 05 Dec 2003
Posts: 47
Location: LA

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19 Jan 2004, 18:34
3.In a class of 30 students, 17 students study Chinese and r students study Japanese. Every student studies either Chinese or Japaneseor both. How many students study both Chinese & Japanese?

(1) r=14

(2) 13 students take only Japanese

I pick D.

You know the following
Total students = 30
Students study Chinese = 17 (including ones enrolled in Japanese)
There are no students that study neither Jap or Chinese

1)
Total = Chinese + Japanese - Both
30 = 17 + 14 - Both ---> Both = 1 Sufficient

2)
Doesn't give you enough information. Doubt yourself.. see below
Let's say that Both = 0, then C+J = 17+13 = 30
Or Both can = 1, then C+J-Both = 17+14-1=30 (You add 13+1 to include the student who studies J and C to the total J count)
Intern
Joined: 05 Dec 2003
Posts: 47
Location: LA

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19 Jan 2004, 18:35
I mean.. I pick A, see my explanation above
Senior Manager
Joined: 23 Sep 2003
Posts: 293
Location: US

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20 Jan 2004, 09:12
I say D.

Looking at A alone, 1 student studies both languages.

Looking at B, no student studies both.

The question doesn't say that a student MUST study both languages.
Intern
Joined: 21 Jan 2004
Posts: 2
Location: Australia

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21 Jan 2004, 16:24
I would say A

I agree with ndidi204 's reasoning
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Don't die wondering

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4288

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30 Oct 2004, 21:25
Good question. A it is
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Paul

Intern
Joined: 26 Oct 2004
Posts: 4

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01 Nov 2004, 00:05
D would have been the anwer had it been 17 students study chinese only...just like 13 study japanese....therefore 0 student study both...
01 Nov 2004, 00:05
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