20 of the students study yoga, 10 study cooking, and 12 study weaving. 3 of the students study cooking only, 4 of them study both cooking and yoga but not weaving, while 2 of them study all 3 subjects. How any students study both cooking and weaving but not yoga?

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

GMATGuruNY wrote:The problem is poorly worded.
It intends to ask the following:

20 of the students study yoga, 10 study cooking, and 12 study weaving. 3 of the students study cooking only, 4 of them study both cooking and yoga but not weaving, while 2 of them study all 3 subjects. How any students study both cooking and weaving but not yoga?

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

Inserting the given information into a Venn Diagram yields that CW = 1, as shown by the value in BLUE below:


The correct answer is A.

chandannkrishna wrote:

GMATGuruNY wrote:The problem is poorly worded.
It intends to ask the following:

20 of the students study yoga, 10 study cooking, and 12 study weaving. 3 of the students study cooking only, 4 of them study both cooking and yoga but not weaving, while 2 of them study all 3 subjects. How any students study both cooking and weaving but not yoga?

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

Hi Mitch,
Since 2 of them study all three subject, aren't we suppose to subtract that from the group that studies both cooking and yoga.
i.e group studying both cooking and yoga = given data (4) - group studying all three (2) = 2

Thanks

Given that the OA is A, the problem intends that the 2 students who study all 3 subjects are not included among the 4 who study both cooking and yoga.
Note the red phrases above.
In my original post, I added these phrases to clarify the intent of the problem.