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Intern
Joined: 08 Mar 2009
Posts: 25
Followers: 1

Kudos [?]: 48 [0], given: 13

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07 Nov 2009, 10:07
00:00

Difficulty:

(N/A)

Question Stats:

50% (00:00) correct 50% (02:54) wrong based on 2 sessions

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Beans.docx [66.65 KiB]

Manager
Joined: 29 Oct 2009
Posts: 211
GMAT 1: 750 Q50 V42
Followers: 103

Kudos [?]: 1284 [1] , given: 18

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07 Nov 2009, 11:24
1
KUDOS
first translate the problem into simpler terms.

Let total number of students be x.

therefore, we are given:

no of students who dislike beans = (2/3)x

no of students who dislike beans and sprouts = (2/3)*(3/5)x = (2/5)x
[since we are given that 3/5 of the students who dont like beans also dont like sprouts this means that 2/5 of the students who dont like beans like sprouts]

therefore, no of students who dislike beans but like sprouts = (2/3)*(2/5)x = (4/15)x

thus if we know the total number of students we can answer the question.

(1) Sufficient: it gives us what we want directly.
(2) Sufficient: 40 students like beans. this accounts for (1/3) of the students. therefore if (1/3) is 40 then total is 120.

Thus choice D is the answer.
Attachments

Untitled.png [ 97.17 KiB | Viewed 1007 times ]

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Click below to check out some great tips and tricks to help you deal with problems on Remainders!
http://gmatclub.com/forum/compilation-of-tips-and-tricks-to-deal-with-remainders-86714.html#p651942

1) Translating the English to Math : http://gmatclub.com/forum/word-problems-made-easy-87346.html

Manager
Joined: 17 Aug 2009
Posts: 235
Followers: 5

Kudos [?]: 234 [0], given: 25

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10 Nov 2009, 07:28
Nice explanation
+1 for you srihari
Manager
Joined: 29 Oct 2009
Posts: 211
GMAT 1: 750 Q50 V42
Followers: 103

Kudos [?]: 1284 [0], given: 18

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10 Nov 2009, 07:42
zaarathelab wrote:
Nice explanation
+1 for you srihari

Thank you!
_________________

Click below to check out some great tips and tricks to help you deal with problems on Remainders!
http://gmatclub.com/forum/compilation-of-tips-and-tricks-to-deal-with-remainders-86714.html#p651942

1) Translating the English to Math : http://gmatclub.com/forum/word-problems-made-easy-87346.html

Re: Beans problem gmatprep   [#permalink] 10 Nov 2009, 07:42
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