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nikhilagrawal: Senior | Next Rank: 100 Posts; Posts: 81; Joined: Thu Jun 12, 2008 1:57 pm; Thanked: 1 times

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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: Beat The GMAT — Problem Solving | Tue Jul 22, 2008 2:19 am

pepeprepa: Legendary Member; Posts: 661; Joined: Tue Jul 08, 2008 12:58 pm; Location: France; Thanked: 48 times

by pepeprepa » Tue Jul 22, 2008 2:43 am

Make 3 circles.
It's E

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sudhir3127: Legendary Member; Posts: 829; Joined: Mon Jul 07, 2008 10:09 pm; Location: INDIA; Thanked: 84 times; Followed by:3 members

by sudhir3127 » Tue Jul 22, 2008 2:55 am

Answer 5. E

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nikhilagrawal: Senior | Next Rank: 100 Posts; Posts: 81; Joined: Thu Jun 12, 2008 1:57 pm; Thanked: 1 times

by nikhilagrawal » Tue Jul 22, 2008 3:06 am

can some one share the soln ..

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dbart06: Senior | Next Rank: 100 Posts; Posts: 75; Joined: Sun Jun 22, 2008 4:59 am; Thanked: 2 times

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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dbart06: Senior | Next Rank: 100 Posts; Posts: 75; Joined: Sun Jun 22, 2008 4:59 am; Thanked: 2 times

by dbart06 » Tue Jul 22, 2008 9:41 am

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dbart06: Senior | Next Rank: 100 Posts; Posts: 75; Joined: Sun Jun 22, 2008 4:59 am; Thanked: 2 times

by dbart06 » Tue Jul 22, 2008 9:42 am

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sudhir3127: Legendary Member; Posts: 829; Joined: Mon Jul 07, 2008 10:09 pm; Location: INDIA; Thanked: 84 times; Followed by:3 members

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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pepeprepa: Legendary Member; Posts: 661; Joined: Tue Jul 08, 2008 12:58 pm; Location: France; Thanked: 48 times

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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nikhilagrawal: Senior | Next Rank: 100 Posts; Posts: 81; Joined: Thu Jun 12, 2008 1:57 pm; Thanked: 1 times

by nikhilagrawal » Wed Jul 23, 2008 4:36 am

OA is '1'

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Saule: Junior | Next Rank: 30 Posts; Posts: 15; Joined: Sun Jul 20, 2008 6:37 am

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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pepeprepa: Legendary Member; Posts: 661; Joined: Tue Jul 08, 2008 12:58 pm; Location: France; Thanked: 48 times

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...