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A department manager distributed a number of pens, pencils,

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Director
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A department manager distributed a number of pens, pencils, [#permalink] New post 04 Jul 2009, 20:43
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A
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E

Difficulty:

  85% (hard)

Question Stats:

41% (01:29) correct 59% (00:41) wrong based on 89 sessions
A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department?

(1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively.
(2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads.

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-department-manager-distributed-a-number-of-pens-pencils-104852.html
[Reveal] Spoiler: OA
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Re: pen, pencil ,pads [#permalink] New post 05 Jul 2009, 06:27
C
Q stem gives n(ax+by+cz)
A gives n(2x+3y+4z)
B gives 18x+27y+36z

Compare with q stem you will get the answer.
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Re: pen, pencil ,pads [#permalink] New post 05 Jul 2009, 06:49
Even I got C.
But OA is E. I wonder why ?
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Re: pen, pencil ,pads [#permalink] New post 05 Jul 2009, 09:18
Pens: 18 = 2 x 3 x 3
Pencils: 27 = 3 x 3 x 3
Pads: 36 = 4 x 3 x 3
Then, number of staff members: 3 or 3x3=9
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Re: pen, pencil ,pads [#permalink] New post 07 Jul 2009, 17:22
I don't understand whether the answer is C or E. If it is C, then it is a straightforward question. If it is E, Could someone elaborate..
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Re: pen, pencil ,pads [#permalink] New post 07 Jul 2009, 18:03
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vannu wrote:
I don't understand whether the answer is C or E. If it is C, then it is a straightforward question. If it is E, Could someone elaborate..


To know the number of people, simply knowing the ratio of division is not enough. Both the statements only provide the ratio of distribution.

combine them and check, the ratio will remain 2:3:4

either there can be 3 people, each getting 6, 9 and 12
or there can be 9 people, each getting 2, 3, and 4

in both cases, both statements 1 and 2 are being satisfied. You don't get a unique answer.
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Re: A department manager distributed a number of pens, pencils, [#permalink] New post 19 Jun 2013, 19:26
Going by someone's earlier equation :
Given every one receives same no. of pens/pencils/pads: n(x+y+z)
Stmt 1: x:y:z=2a:3a:4a => equation above becomes =n*9a -cant find n, neither do we know a- insufficient
Stmt 2: x+y+z=81, above equations is =n*(81) - insufficient
Both : n*81=n*9a =>a=9 , so the equation becomes 9n, still cant find n . Ans E
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Re: A department manager distributed a number of pens, pencils, [#permalink] New post 20 Jun 2013, 00:38
Expert's post
Economist wrote:
A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department?

(1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively.
(2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads.


OPEN DISCUSSION OF THIS QUESTION IS HERE: a-department-manager-distributed-a-number-of-pens-pencils-104852.html

ALL OG 13 QUESTIONS WITH SOLUTIONS ARE HERE: the-official-guide-quantitative-question-directory-143450.html

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Re: A department manager distributed a number of pens, pencils,   [#permalink] 20 Jun 2013, 00:38
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