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A department manager distributed a number of pens, pencils,

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A department manager distributed a number of pens, pencils, [#permalink] New post 07 Oct 2005, 14:39
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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.


OA will be followed.
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 [#permalink] New post 07 Oct 2005, 15:51
C.

Let number of staff ne n

total pens = nx
total pencils = ny
total pads = pz
x,y,z,n non-negative

(1) :
x:y:z = 2:3:4
does not tell exact value.

(2)

nx = 18
ny = 27
nz = 36

n canbe 3 or 9

together (1) and (2)
n = 9
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 [#permalink] New post 07 Oct 2005, 16:07
chets wrote:
duttsit wrote:
C.

Let number of staff ne n

total pens = nx
total pencils = ny
total pads = pz
x,y,z,n non-negative

(1) :
x:y:z = 2:3:4
does not tell exact value.

(2)

nx = 18
ny = 27
nz = 36

n canbe 3 or 9

together (1) and (2)
n = 9


what if n = 1?


Thats correct. n can be any of 1,3,9
Is OA E?
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 [#permalink] New post 07 Oct 2005, 16:21
Thanks,
OA is indeed E and I couldn't get it. I choose C as my answer.
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 [#permalink] New post 07 Oct 2005, 17:08
hahaah....

he could have given all these pens, pencils and notepads to himself for all we know....the only self employed manager....this question is funny...
  [#permalink] 07 Oct 2005, 17:08
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