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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 19 Mar 2005, 13:54
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In a class of 30 students, 17 students study Chinese, and r students study Japanese. Every student studies either Chinese, Japanese or both. How many students study both Chinese and Japanese?

1) r = 14
2) Thirteen students take only Japanese
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 [#permalink] New post 19 Mar 2005, 18:08
"A"

state 1.....if x is both then....17-x+r-x+x = 30
we know r we know x....suff

state 2....r-x = 13

x can be more than one value....insuff...
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Re: DS: Languages [#permalink] New post 20 Mar 2005, 07:21
maaverick wrote:
In a class of 30 students, 17 students study Chinese, and r students study Japanese. Every student studies either Chinese, Japanese or both. How many students study both Chinese and Japanese?

1) r = 14
2) Thirteen students take only Japanese


Another 'A'.

(2) is redundant, since it is already known from the problem.
(1) provides all the answers

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 [#permalink] New post 20 Mar 2005, 17:15
I got D

for 1st statement no problem, it i sufficient

for 2nd statement, we know that 17 people are studying chinese and we know that 13 people are ONLY studying japanese. It means no people study both because the total has to be 30 and 17+13 is already 30, there's no possibilities to have people studying both :roll:

I choose D

what's OA ?
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 [#permalink] New post 20 Mar 2005, 19:55
One more for 'A'
From 'B' we only know that 13 people who are studying Japanese are not studying Chinese but we do not know how many people in total are studying Japanese, so will go with 'A'
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 [#permalink] New post 21 Mar 2005, 01:29
Antmavel wrote:
I got D

for 1st statement no problem, it i sufficient

for 2nd statement, we know that 17 people are studying chinese and we know that 13 people are ONLY studying japanese. It means no people study both because the total has to be 30 and 17+13 is already 30, there's no possibilities to have people studying both :roll:

I choose D

what's OA ?


Sorry for this post :drunk :wall I need some :sleep
A of course
  [#permalink] 21 Mar 2005, 01:29
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