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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]

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09 Jun 2005, 23:25
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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.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Director
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10 Jun 2005, 00:00
E.

1) insufficient - obvious, no info on stuff members
2) insufficient

2*3*3 = 18
3*3*3 =27
2*2*3*3 =36

could be 9 employees or 3 employees

1)+2) insuff. still 9 or 3 employess result in the same ratio
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10 Jun 2005, 09:27
I initially went for B but going through the discussion I realized my mistake.
SVP
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10 Jun 2005, 20:51
We know the relative ratio, but not the number per person, so insufficient for both.

Could only have 1 employee too sparky.
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10 Jun 2005, 20:51
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# A department manager distributed a number of pens, pencils,

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