sets

nikhilagrawal · Posted: Tue Jul 22, 2008 2:19 am Post subject: sets

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 ..

pepeprepa · Posted: Tue Jul 22, 2008 2:43 am Post subject:

Make 3 circles.
It's E

sudhir3127 · Posted: Tue Jul 22, 2008 2:55 am Post subject:

Answer 5. E

nikhilagrawal · Posted: Tue Jul 22, 2008 3:06 am Post subject:

can some one share the soln ..

dbart06 · Posted: Tue Jul 22, 2008 9:36 am Post subject:

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

dbart06 · Posted: Tue Jul 22, 2008 9:41 am Post subject:

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

dbart06 · Posted: Tue Jul 22, 2008 9:42 am Post subject:

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

sudhir3127 · Posted: Tue Jul 22, 2008 9:57 am Post subject:

i stand corrected.. i got the answer as 1 . A

10-4-3-2=1

pepeprepa · Posted: Tue Jul 22, 2008 11:31 am Post subject:

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 ?

nikhilagrawal · Posted: Wed Jul 23, 2008 4:36 am Post subject:

OA is '1'

Saule · Posted: Wed Jul 23, 2008 5:16 am Post subject:

Agree with dbart06. There's only one person left for cooking and weaving.

pepeprepa · Posted: Wed Jul 23, 2008 5:30 am Post subject:

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...

nikhilagrawal · Posted: Wed Jul 23, 2008 5:51 am Post subject:

but I believe ans is 5 . I wish I can upload the venn diagram for explanation.

nikhilagrawal · Posted: Wed Jul 23, 2008 6:00 am Post subject:

I believe OA is wrong answer shld be '5'

evansbd · Posted: Wed Jul 23, 2008 9:02 am Post subject: Venn Diagram

Can someone use paint to show the solution with 5 circles?

Here is one with 3, does this satisfy the question?