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A group of people participate in some curriculums, 20 of them practice

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Carcass
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A group of people participate in some curriculums, 20 of them practice [#permalink] New post   Updated on: 18 Mar 2023, 04:56
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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


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A

Originally posted by Carcass on 21 Nov 2022, 12:05.
Last edited by Carcass on 18 Mar 2023, 04:56, edited 1 time in total.
Fixed OA
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Re: A group of people participate in some curriculums, 20 of them practice [#permalink] New post   29 Nov 2022, 03:51
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Carcass wrote:
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




Carcass
I believe the Qs should be - 4 of them study both the cooking and yoga ONLY and How many people study both cooking and weaving ONLY
Other wise we can have a different answers.

Refer to the figures below:

Case I: 4 of them study both the cooking and yoga ONLY
Cooking = Cooking only + Cooking and Yoga only + Cooking and Weaving only + All three
10 = 3 + 4 + Cooking and Weaving only + 2
Cooking and Weaving only = 1
Cooking and Weaving = All three + Cooking and Weaving only = 2 + 1 = 3

Case II: 4 of them study both the cooking and yoga
Cooking = Cooking only + Cooking and Yoga only + Cooking and Weaving only + All three
10 = 3 + 2 + Cooking and Weaving only + 2
Cooking and Weaving only = 3
Cooking and Weaving = All three + Cooking and Weaving only = 2 + 3 = 5
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Carcass
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Re: A group of people participate in some curriculums, 20 of them practice [#permalink] New post   29 Nov 2022, 05:45
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I agree too.

However, I checked out and the answer was reported as A

I changed accordingly.

Thank you sir
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Re: A group of people participate in some curriculums, 20 of them practice [#permalink] New post   18 Mar 2023, 04:30
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Carcass wrote:
I agree too.

However, I checked out and the answer was reported as A

I changed accordingly.

Thank you sir


Dear Carcass, the official answer right now is D.

Should it be A? I didn't quite understand. Thank you!
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A group of people participate in some curriculums, 20 of them practice [#permalink] New post   18 Mar 2023, 04:57
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Just make a venn diagram and you are all set to get it correct.

Both cooking and weaving = 10 - (3+4+2) = 1

So, the correct answer is A.

Fixed

Thank you
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Re: A group of people participate in some curriculums, 20 of them practice [#permalink] New post   14 Jan 2024, 04:04
Carcass sir, as per question: How many people study both cooking and weaving?

people study both cooking and weaving = 5

people study both cooking and weaving only = 1

what is the correct question ?
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Re: A group of people participate in some curriculums, 20 of them practice [#permalink] New post   14 Jan 2024, 08:35
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a possible shortcut could be that we have three courses

Y+W+C=2 we do know that 2 people take all of the three

However, we are looking for W+C

W+C=2-Y so we need Y

Y cannot be zero (would not much sense) therefore Y is not zero itself or 2. Y must be 1

A is the answer
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Re: A group of people participate in some curriculums, 20 of them practice [#permalink]
14 Jan 2024, 08:35
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