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OG Problem solving 200 solution

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OG Problem solving 200 solution [#permalink] New post 19 Mar 2011, 06:40
Hi,
Can someone provide a more simple solution to OG PS 200 problem



OG 12th edition question.I am typing the question anyways..

Of the 50 researchers in a workgroup,40 percent will be assigned to team A and remaining 60 percent to team B.However 70% of the researchers prefer team A and 30 % prefer team B.What is the lowest number of researchers who will not be assigned to the team they prefer

Options
1)15
2)17
3)20
4)25
5)30
Please provide me the best approach to solve this kind of problems
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Re: OG Problem solving 200 solution [#permalink] New post 19 Mar 2011, 10:41
bipin0611 wrote:
Hi,
Can someone provide a more simple solution to OG PS 200 problem



OG 12th edition question.I am typing the question anyways..

Of the 50 researchers in a workgroup,40 percent will be assigned to team A and remaining 60 percent to team B.However 70% of the researchers prefer team A and 30 % prefer team B.What is the lowest number of researchers who will not be assigned to the team they prefer

Options
1)15
2)17
3)20
4)25
5)30
Please provide me the best approach to solve this kind of problems


Please see the attached image;
Attachments

Researchers_TeamA_TeamB.PNG
Researchers_TeamA_TeamB.PNG [ 33.84 KiB | Viewed 1237 times ]


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Re: OG Problem solving 200 solution [#permalink] New post 19 Mar 2011, 11:03
Thanx . . I was confused over how to draw the table
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Re: OG Problem solving 200 solution [#permalink] New post 20 Mar 2011, 10:29
OA is A or B?

I cannot c how it can b B.

It must be A
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Re: OG Problem solving 200 solution [#permalink] New post 20 Mar 2011, 13:09
Solution: took just over 1 min

Capacity
Team A - 40%
Team B - 60%

Preference
A - 70%
B - 30%

Assign as prefered to A first - 40%.
Remaining 60% to B => 30% don't get their preference
30% of 50 = 15.

Answer A.
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Re: OG Problem solving 200 solution [#permalink] New post 20 Mar 2011, 13:12
yea, but bipin0611 is saying its B... (original post)
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Re: OG Problem solving 200 solution [#permalink] New post 20 Mar 2011, 15:40
it cannot be B

you have to assign to A first. No point in assigning any of B to A .. then you assign as much of those who prefer B to B and you have exactly 30% remaining.

I thought perhaps the question was copied wrong and lets suppose it should be "60 percent of remaining to team B". Even then
you assign 40% to A, then 60% of remaining ie 0.6 * 30=18 but this is still more than all those who prefer B (ie 15). In this case 3 of those who prefer A will be in B and the rest (12) will not be in any team and the answer is still 15.
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Re: OG Problem solving 200 solution [#permalink] New post 21 Mar 2011, 07:34
Sorry guyz ,I marked the wrong answer intially.The answer is 15 and OA is A.
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Re: OG Problem solving 200 solution [#permalink] New post 21 Mar 2011, 09:31
A B

ASSIGNED 20 30

PREFERENCE 35 15

------------------
LEAST NO 15
Re: OG Problem solving 200 solution   [#permalink] 21 Mar 2011, 09:31
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