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The s subjects in an experiment are divided into 4 groups

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The s subjects in an experiment are divided into 4 groups [#permalink] New post 04 Mar 2012, 10:47
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The s subjects in an experiment are divided into 4 groups: 3 test groups and a control. If each group is further divided into units consisting of u subjects each, with each unit assigned to a different researcher, how many researchers are assigned to units?

(A) \(\frac{s}{u}\)

(B) \(\frac{u}{s}\)

(C) \(\frac{3s}{u}\)

(D) \(\frac{4s}{u}\)

(E) \(4u\)
[Reveal] Spoiler: OA

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Re: The s subjects in an experiment are divided into 4 groups [#permalink] New post 04 Mar 2012, 13:34
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Try to ignore the 4 groups part, that is extraneous infromation. This is because each of the 4 groups are further divided n groups(n is unknown).

Initially you have s subjects, they are finally divided into n units with each unit has u subjects. Thus number of units n = s/u. Now each unit has 1 researcher. Thus number of units = number of researchers.
Thus number of researchers = s/u.
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Re: The s subjects in an experiment are divided into 4 groups [#permalink] New post 27 Apr 2015, 20:28
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Re: The s subjects in an experiment are divided into 4 groups [#permalink] New post 27 Apr 2015, 21:47
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I don't think there is any relevance of "control" group.

Take the most simplistic case: s subjects divided "equally" into 4 groups.

So, we have 4 groups, each with s/4 subjects.

Now, each of these s/4 subjects is further divided into units with u subjects each.

So, number of units within a group = (s/4)/u = s/4u

But there are a total of 4 groups; so total number of units = 4*(s/4u) = s/u
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Re: The s subjects in an experiment are divided into 4 groups [#permalink] New post 31 May 2015, 07:30
Assuming the subjects are 32 (S=32). Divided into 4 groups. Each group has 8 members. Now if each group is further divided into 2 subjects each (U=2). There would be 12 units in total. One researcher per unit means 12 Researchers in total. plugging in values of S=32 and U=2 gives us 16 in A.

However when we pick U=8; there are 4 researchers now and A) gives us S/U =32/8=4.

Anyone with picking nos strategy for this please?
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Re: The s subjects in an experiment are divided into 4 groups [#permalink] New post 01 Jun 2015, 00:41
Although the question has been answered before there are certain confusions.

If we pick numbers say S=32. Then there would be 4 groups of 8. if u=2 then there should be 12 units and same no of researchers. In the OA S/U gives 32/2= 16.

On the other hand when we select S= 32, U=8. the OA gives researchers equal 4 and that is understandable.
Why are we getting two answers by the same strategy of picking numbers?

Any one?
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Re: The s subjects in an experiment are divided into 4 groups [#permalink] New post 01 Jun 2015, 23:42
Gmatdecoder wrote:
Although the question has been answered before there are certain confusions.

If we pick numbers say S=32. Then there would be 4 groups of 8. if u=2 then there should be 12 units and same no of researchers. In the OA S/U gives 32/2= 16.

On the other hand when we select S= 32, U=8. the OA gives researchers equal 4 and that is understandable.
Why are we getting two answers by the same strategy of picking numbers?

Any one?


If S=32, then their are 4 groups of 8. If u=2, then their are 4 units (8/2=4) for each of 4 group. So total number of units is 4*4=16.
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Re: The s subjects in an experiment are divided into 4 groups [#permalink] New post 02 Jun 2015, 00:05
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Gmatdecoder wrote:
Although the question has been answered before there are certain confusions.

If we pick numbers say S=32. Then there would be 4 groups of 8. if u=2 then there should be 12 units and same no of researchers. In the OA S/U gives 32/2= 16.

On the other hand when we select S= 32, U=8. the OA gives researchers equal 4 and that is understandable.
Why are we getting two answers by the same strategy of picking numbers?

Any one?


Hi Gmatdecoder,

In case where s = 32 and u = 2, assuming equal distribution between \(4\) groups i.e. \(\frac{32}{4} = 8\) subjects in each group, you will have the following number of researchers in each group:

Test Group
1 test group will have \(\frac{8}{2} = 4\) researchers. Therefore \(3\) test groups will have \(= 4* 3 = 12\) researchers

Control group
1 Control group will have \(= \frac{8}{2} = 4\) researchers.

Therefore total researchers \(= 12 + 4 = 16\) which is the same as \(\frac{s}{u} = \frac{32}{2} = 16\)

Hope it's clear :)

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Harsh
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Re: The s subjects in an experiment are divided into 4 groups   [#permalink] 02 Jun 2015, 00:05
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