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A department manager distributed a number of pens, pencils, [#permalink]
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04 Jul 2009, 21:43
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46% (01:47) correct
54% (00:47) wrong based on 121 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: adepartmentmanagerdistributedanumberofpenspencils104852.html
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Re: pen, pencil ,pads [#permalink]
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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.



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Re: pen, pencil ,pads [#permalink]
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05 Jul 2009, 07:49
Even I got C. But OA is E. I wonder why ?



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Re: pen, pencil ,pads [#permalink]
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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



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Re: pen, pencil ,pads [#permalink]
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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..
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Re: pen, pencil ,pads [#permalink]
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07 Jul 2009, 19:03
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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]
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19 Jun 2013, 20:26
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]
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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: adepartmentmanagerdistributedanumberofpenspencils104852.html
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Re: A department manager distributed a number of pens, pencils,
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