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

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Manager
Joined: 01 Nov 2007
Posts: 147

Kudos [?]: 436 [7], given: 0

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

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21 Jan 2008, 13:10
7
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 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 retio 2:3:4, respectively.

(2) The manager distributed a total of

18 pens, 27 pencils, and 36 pads

Kudos [?]: 436 [7], given: 0

CEO
Joined: 17 Nov 2007
Posts: 3584

Kudos [?]: 4584 [0], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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21 Jan 2008, 13:27
E

1. obviously insufficient.

2. $$18=2*3^2$$, $$27=3^3$$, $$36=2^2*3^2$$
N can be $$3$$ or $$9=3^2$$
insufficient

1&2. 18:27:36 ==> 2:3:4 the same solution as for 2. Insufficient.

Good Q
+1
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Kudos [?]: 4584 [0], given: 360

CEO
Joined: 29 Mar 2007
Posts: 2554

Kudos [?]: 515 [0], given: 0

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21 Jan 2008, 19:03
JCLEONES 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 retio 2:3:4, respectively.

(2) The manager distributed a total of

18 pens, 27 pencils, and 36 pads

S1: Insuff, no information about the amount.

S2: could be several orders. 2pens, 3pencils, 4 pads or 6 pens, 9pencils and 12 pads.

This is the tricky part: using our example from S2 we can see that essentially they are both the same ratios, but have a different number of people.

So its E.

Kudos [?]: 515 [0], given: 0

SVP
Joined: 04 May 2006
Posts: 1881

Kudos [?]: 1398 [0], given: 1

Schools: CBS, Kellogg

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22 Jan 2008, 02:23
walker wrote:
E

1. obviously insufficient.

2. $$18=2*3^2$$, $$27=3^3$$, $$36=2^2*3^2$$
N can be $$3$$ or $$9=3^2$$
insufficient

1&2. 18:27:36 ==> 2:3:4 the same solution as for 2. Insufficient.

Good Q
+1

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_________________

Kudos [?]: 1398 [0], given: 1

Re: DS - Stationery   [#permalink] 22 Jan 2008, 02:23
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