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

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In a class of 30 students, 17 students study Chinese and r [#permalink] New post 11 Sep 2003, 03:55
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A
B
C
D
E

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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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 [#permalink] New post 19 Jan 2004, 10:00
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.
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 [#permalink] New post 19 Jan 2004, 17:34
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)
Answer two is insufficient
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Mistake [#permalink] New post 19 Jan 2004, 17:35
I mean.. I pick A, see my explanation above
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 [#permalink] New post 20 Jan 2004, 08:12
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.
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 [#permalink] New post 21 Jan 2004, 15:24
I would say A

I agree with ndidi204 's reasoning
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 [#permalink] New post 30 Oct 2004, 20:25
Good question. A it is
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 [#permalink] New post 31 Oct 2004, 23:05
D would have been the anwer had it been 17 students study chinese only...just like 13 study japanese....therefore 0 student study both...
  [#permalink] 31 Oct 2004, 23:05
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