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CEO
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In a class of 30 students, 17 students study Chinese and r [#permalink]
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
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SVP
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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.
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Manager
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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
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)
Answer two is insufficient
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Manager
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I mean.. I pick A, see my explanation above
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Senior Manager
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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.
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Intern
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I would say A
I agree with ndidi204 's reasoning
_________________
Don't die wondering
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GMAT Club Legend
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Good question. A it is
Attachments

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_________________
Best Regards,
Paul
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D would have been the anwer had it been 17 students study chinese only...just like 13 study japanese....therefore 0 student study both...
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