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# Each employee of Company Z is an employee of either division X or divi

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Director
Joined: 09 Mar 2017
Posts: 514
Location: India
Concentration: Marketing, Organizational Behavior
WE: Information Technology (Computer Software)
Re: Each employee of Company Z is an employee of either division X or divi  [#permalink]

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12 Aug 2017, 21:32
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GMATBLACKBELT wrote:
Each employee of Company Z is an employee of either division X or division Y, but not both. If each division has some part time employees, is the ratio of the number of full-time employees to the number of part-time employees greater for division X than for Company Z?

(1) the ratio of the number of full time employees to the number of part-time employees is less for division Y than for Company Z

(2) More than half of the full-time employees of Company Z are employees of Division X, and more than half of the part-time employees of Company Z are employees of Division Y

There are enough explanations for this question of weighted average. Somehow I wasn't convinced. I might have lacked the concept at the first place. So spent time and came up with a pictorial explanation for this conceptual question. Hope this helps those who ,like me, have faced difficulty in comprehending the essence of this question.

Refer the attachment for clearer visualization of the problem.

statement 1- consider the comparison only based on the element - "Ratio of F/P" for X & Y to that of Z.

statement 2 - consider the element - "Number of F" and "Number of Y" in Z.

statement 1 tells you about the blue portion in LHS - Ratio of F/P of Y in Z and question stem asks you about Yellow portion - Ratio of F/P in of X in Z. Definitely this is greater than the yellow portion.
statement 2 tells you about NX and DY and question stem asks you about (NX/DX) and (NY/DY). Note that smaller denominator of DX has given a greater value of the ratio NX/DY than the value of NY/DY(with a larger DY)

This is how both are sufficient and ans is D

Hope this was of help to those who got intimidated by a number of equations and distributions.
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EachEmployeeOfCompany.png [ 17.89 KiB | Viewed 1780 times ]

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Re: Each employee of company Z is an employee of either Division  [#permalink]

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18 Jul 2019, 00:52
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Re: Each employee of company Z is an employee of either Division   [#permalink] 18 Jul 2019, 00:52

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# Each employee of Company Z is an employee of either division X or divi

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