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

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Manager
Joined: 10 Oct 2005
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A department manager distributed a number of pens, pencils, [#permalink]

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08 Oct 2006, 10:41
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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.
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Senior Manager
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08 Oct 2006, 10:45
Little trick but going with E here..

From 1, we only get ratios so we cannot find out the number of staff members

INSUFF

From 2, although 18,27,36 are supplied it seems evident that there should be 9 staff members (2/3/4). But it could just be that there is 1 staff member having all the items.

INSUFF

Combined is also INSUFF
SVP
Joined: 05 Jul 2006
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08 Oct 2006, 12:51
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.

clearly one is insuff ( ratios are given)

clearly b is iusuff

both together gives the same info...insuff

Senior Manager
Joined: 30 Aug 2006
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08 Oct 2006, 13:18
E

I) ratio only INSUFF
II) numbers but could be 9 staff = 2:3:4 each or could be 3 staff 6:9:12 each INSUFF
08 Oct 2006, 13:18
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