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# Company M has two divisions - X and Y. Each division

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Company M has two divisions - X and Y. Each division  [#permalink]

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15 Jul 2017, 07:38
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Difficulty:

65% (hard)

Question Stats:

57% (01:04) correct 43% (01:42) wrong based on 69 sessions

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Company M has two divisions - X and Y. Each division has exactly two types of employees - clerks and managers. Is the ratio of clerks to managers greater for division X than that for division Y?

(1) Division X has 20% managers.
(2) Company M has 15% managers.

Source: ExpertsGlobal

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Re: Company M has two divisions - X and Y. Each division  [#permalink]

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15 Jul 2017, 08:23
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nguyendinhtuong wrote:
Company M has two divisions - X and Y. Each division has exactly two types of employees - clerks and managers. Is the ratio of clerks to managers greater for division X than that for division Y?

(1) Division X has 20% managers.
(2) Company M has 15% managers.

Source: ExpertsGlobal

Hi...

Q is... Is $$\frac{c_x}{m_x}>\frac{c_y}{m_y}$$ ?
Individually each statement is insufficient..

It may seem that combined also it is insufficient as details of y is not given.
But if M consists of only x and y, and the ratio of C:m is 20:80 in x or 1:4 AND overall it is 15:85..
Y will have even lower Ratio than overall to bring down ratio in x of 20/80 to 15/85..
Hence sufficient

C
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Company M has two divisions - X and Y. Each division  [#permalink]

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15 Jul 2017, 08:56
1. Division X has 20% managers to the 80% clerks,
the ratio of managers to clerks in division X is $$\frac{1}{4}$$
Since we do not have any idea about the Division Y, this statement is not sufficient

2. It has been said the managers in the company are 15%, making the clerks 85%
The overall ratio of managers to clerks is $$\frac{3}{17}$$.
Again, without the information in both the divisions,
we can't clearly tell which division has a higher ratio of managers to clerks.(Insufficient)

On combining the information we can clearly tell that,
Division Y has a lower ratio(Sufficient) (Option C)
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Re: Company M has two divisions - X and Y. Each division  [#permalink]

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15 Jul 2017, 09:23
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My thought process was:

(1) Ok, we know the ratio of clerks/managers for division x, but know nothing about division y's ratio (NS)
(2) Now we know the company's ratio of clerks/managers, but know nothing about the proportion at each division (NS)

Together the statements tell us that the ratio of clerks/managers for division x is below the company's ratio, meaning that division y must have more clerks/managers

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Re: Company M has two divisions - X and Y. Each division  [#permalink]

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26 Sep 2018, 23:42
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Company M has two divisions - X and Y. Each division &nbs [#permalink] 26 Sep 2018, 23:42
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