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# A department manager distributed a number of pens, pencils,

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Director
Joined: 01 Apr 2008
Posts: 872

Kudos [?]: 861 [1], given: 18

Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
A department manager distributed a number of pens, pencils, [#permalink]

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04 Jul 2009, 21:43
1
KUDOS
6
This post was
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Difficulty:

65% (hard)

Question Stats:

48% (00:47) correct 52% (00:46) wrong based on 128 sessions

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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

Kudos [?]: 861 [1], given: 18

Current Student
Joined: 13 Jan 2009
Posts: 364

Kudos [?]: 144 [0], given: 1

Location: India

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05 Jul 2009, 07:27
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.

Kudos [?]: 144 [0], given: 1

Director
Joined: 01 Apr 2008
Posts: 872

Kudos [?]: 861 [0], given: 18

Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014

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05 Jul 2009, 07:49
Even I got C.
But OA is E. I wonder why ?

Kudos [?]: 861 [0], given: 18

Manager
Joined: 15 Apr 2008
Posts: 50

Kudos [?]: 24 [0], given: 8

Location: Moscow

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05 Jul 2009, 10:18
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

Kudos [?]: 24 [0], given: 8

Manager
Joined: 16 Apr 2009
Posts: 231

Kudos [?]: 101 [0], given: 10

Schools: Ross

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07 Jul 2009, 18:22
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..
_________________

Keep trying no matter how hard it seems, it will get easier.

Kudos [?]: 101 [0], given: 10

Senior Manager
Joined: 04 Jun 2008
Posts: 286

Kudos [?]: 160 [4], given: 15

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07 Jul 2009, 19:03
4
KUDOS
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.

Kudos [?]: 160 [4], given: 15

Intern
Joined: 07 Feb 2013
Posts: 13

Kudos [?]: 23 [0], given: 9

GMAT 1: 650 Q48 V32
GMAT 2: 730 Q49 V41
WE: Engineering (Other)
Re: A department manager distributed a number of pens, pencils, [#permalink]

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19 Jun 2013, 20:26
Going by someone's earlier equation :
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

Kudos [?]: 23 [0], given: 9

Math Expert
Joined: 02 Sep 2009
Posts: 42305

Kudos [?]: 133072 [0], given: 12403

Re: A department manager distributed a number of pens, pencils, [#permalink]

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20 Jun 2013, 01:38
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

_________________

Kudos [?]: 133072 [0], given: 12403

Re: A department manager distributed a number of pens, pencils,   [#permalink] 20 Jun 2013, 01:38
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