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

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Senior Manager
Joined: 19 Nov 2004
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In a class of 30 students, 17 students study Chinese, and r [#permalink]

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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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VP
Joined: 18 Nov 2004
Posts: 1431

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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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Intern
Joined: 19 Jul 2004
Posts: 43

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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.

Ketan

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VP
Joined: 13 Jun 2004
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Location: London, UK
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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

I choose D

what's OA ?

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Director
Joined: 03 Nov 2004
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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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VP
Joined: 13 Jun 2004
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Location: London, UK
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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

I choose D

what's OA ?

Sorry for this post I need some
A of course

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21 Mar 2005, 01:29
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