|
Author |
Message |
|
TAGS:
|
|
|
Manager
Joined: 22 Oct 2006
Posts: 76
Location: India
Followers: 1
Kudos [?]:
0
[0], given: 0
|
In a class of 30 students, 17 students study Chinese, and r [#permalink]
 28 Oct 2007, 14:39
Question Stats:
0% (00:00) correct
 0% (00:00) wrong based on 0 sessions
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.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT SUFFICIENT
|
|
|
|
|
|
|
Manager
Joined: 22 Oct 2006
Posts: 76
Location: India
Followers: 1
Kudos [?]:
0
[0], given: 0
|
I also chose D, but the OA is A.
I think it should be D as Statement 2 is also sufficient as #of Jap Speaking 13, #Chineses speaking 17 and # speaking both is zero
Can you explain.
|
|
|
|
|
|
Manager
Joined: 02 Aug 2007
Posts: 151
Followers: 1
Kudos [?]:
4
[0], given: 0
|
The reason 2 is insufficient is that you cannot determine how many students studied both languages. Look at the equation below.
Example: x = both languages
30 = 13 + x + 17 - x
x cancels out and we cannot determine x = both.
|
|
|
|
|
|
Intern
Joined: 16 Aug 2007
Posts: 10
Followers: 0
Kudos [?]:
0
[0], given: 0
|
You can solve this easily by Venn Diagram.
x= Chinese
a=both
y=Japanese
so x+a=17 and x+a+y=30 (*) ->y=13
(2) y=13. This can be concluded from (*) so this statement is redundant and insuff
(1) Y+a=14, -> a could be found (a=1)
so A.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Similar topics |
Author |
Replies |
Last post |
|
Similar
Topics:
|
 |
|
|
In a class of 30 students, 17 students study Chinese and r
|
Praetorian |
7 |
11 Sep 2003, 04:55 |
|
|
|
|
In a class of 30 students, 17 students study Chinese, and r
|
maaverick |
5 |
19 Mar 2005, 13:54 |
|
|
|
 |
In a class of 30 students, 17 students study Chinese, and r
|
aliensoybean |
8 |
18 Nov 2007, 22:13 |
|
|
|
|
In a class of 30 students, there are 17 girls and 13 boys.
|
axl_oz |
8 |
24 Oct 2008, 14:16 |
|
|
|
|
In a class of 30 students, 17 students study Chinese, and r
|
rxs0005 |
3 |
09 Sep 2010, 07:52 |
|
|
|
|
|
|
close
