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Expert replies
by nikhilagrawal » Tue Jul 22, 2008 2:19 am
A group of people participate in some curriculums, 20 of them practice Yoga, 10 study cooking, 12 study weaving, 3 of them study cooking only, 4 of them study both the cooking and yoga, 2 of them participate all curriculums. How many people study both cooking and weaving?

A.1 B.2 C.3 D.4 E.5

Pls explain the soln also ..
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Source: — Problem Solving |

by pepeprepa » Tue Jul 22, 2008 2:43 am
Make 3 circles.
It's E
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by sudhir3127 » Tue Jul 22, 2008 2:55 am
Answer 5. E
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by nikhilagrawal » Tue Jul 22, 2008 3:06 am
can some one share the soln ..
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by dbart06 » Tue Jul 22, 2008 9:36 am
How can the answer be 5. I drew 3 circles and the cooking circle has:

cooking only =3
cooking & Yoga = 4
all three have =2

this leads only 1 left for both cooking & weaving

cooking has 10 total - 3-4-2=1

please clarify

thanks
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by dbart06 » Tue Jul 22, 2008 9:41 am
How can the answer be 5. I drew 3 circles and the cooking circle has:

cooking only =3
cooking & Yoga = 4
all three have =2

this leads only 1 left for both cooking & weaving

cooking has 10 total - 3-4-2=1

please clarify

thanks
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by dbart06 » Tue Jul 22, 2008 9:42 am
How can the answer be 5. I drew 3 circles and the cooking circle has:

cooking only =3
cooking & Yoga = 4
all three have =2

this leads only 1 left for both cooking & weaving

cooking has 10 total - 3-4-2=1

please clarify

thanks
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by sudhir3127 » Tue Jul 22, 2008 9:57 am
i stand corrected.. i got the answer as 1 . A

10-4-3-2=1
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by pepeprepa » Tue Jul 22, 2008 11:31 am
I write you what I have in the circle of cooking.

The core of the problem is there:
4 of them study both the cooking and yoga, 2 of them participate all curriculums.
In my view, the 2 who participate all curriculums are also counted in the 4 who do both because the sentence say "of them" to designate the total population.
If you do not include them so the answer is 1 as you said.

cooking only =3
cooking & Yoga & no weaving= 2
all three have =2
cooking & weaving & no yoga=X

10-3-2-2=X=3

The question ask "both cooking and weaving", I take all three and X
it gives 2+3=5

Can someone give the official answer ?
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by nikhilagrawal » Wed Jul 23, 2008 4:36 am
OA is '1'
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by Saule » Wed Jul 23, 2008 5:16 am
Agree with dbart06. There's only one person left for cooking and weaving.
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by pepeprepa » Wed Jul 23, 2008 5:30 am
Anyone to discuss about the way this type of question is constructed by the gmat? Is it always in the same way of thinking?

You can understand the question in two ways:
Either you understand 4 only study both cooking and yoga or you understand 4 people are in cooking and yoga which let them the possibility to also participate in weaving.

This sentence is irrelevant: "4 of them study both the cooking and yoga" and the question as well...
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by nikhilagrawal » Wed Jul 23, 2008 5:51 am
but I believe ans is 5 . I wish I can upload the venn diagram for explanation.
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by nikhilagrawal » Wed Jul 23, 2008 6:00 am
I believe OA is wrong answer shld be '5'
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Venn Diagram

by evansbd » Wed Jul 23, 2008 9:02 am
Can someone use paint to show the solution with 5 circles?

Here is one with 3, does this satisfy the question?
Attachments
VENN_Curriculums.doc
(24.5 KiB) Downloaded 103 times
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