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.
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department manager
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success1111
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Vemuri
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IMO C
Stmt1: Provides only the ratio. Not sufficient
Stmt2: Provides the total number of pens, pencils & pads distributed. Each of the staff may have received 2pens, 3pencils, 4pads (in this case there are 9 staff) or 6pens, 9pencils, 12pads (in this case there are 3 staff) or there may be only 1 staff who received 18pens, 27pencils, 36pads. Information not sufficient.
Combining both the statements, we can determine there are 9 staff.
Stmt1: Provides only the ratio. Not sufficient
Stmt2: Provides the total number of pens, pencils & pads distributed. Each of the staff may have received 2pens, 3pencils, 4pads (in this case there are 9 staff) or 6pens, 9pencils, 12pads (in this case there are 3 staff) or there may be only 1 staff who received 18pens, 27pencils, 36pads. Information not sufficient.
Combining both the statements, we can determine there are 9 staff.
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Uri
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why are you ignoring a total of 3 staff members?Vemuri wrote:IMO C
Stmt1: Provides only the ratio. Not sufficient
Stmt2: Provides the total number of pens, pencils & pads distributed. Each of the staff may have received 2pens, 3pencils, 4pads (in this case there are 9 staff) or 6pens, 9pencils, 12pads (in this case there are 3 staff) or there may be only 1 staff who received 18pens, 27pencils, 36pads. Information not sufficient.
Combining both the statements, we can determine there are 9 staff.
My logic:
St 1: We can not determine number with only ratios, except for some special cases. And this is not one of those special cases!
St 2: No of staff can be 9 or any factor of 9, i.e 3 or 1. (See GCM of 18, 27 and 36 is 9). So it is also insufficient.
Combining (1) and (2), we don't get any new information. Whether the toal no. of staff is 1, 3 or 9, the ratio of pen, pencil and pad given to each member will be 2:3:4 So both the statements together are also insufficient. Hence, answer is (E).
Please provide the OA.
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success1111
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OA is E.Very tricky question.Uri wrote:why are you ignoring a total of 3 staff members?Vemuri wrote:IMO C
Stmt1: Provides only the ratio. Not sufficient
Stmt2: Provides the total number of pens, pencils & pads distributed. Each of the staff may have received 2pens, 3pencils, 4pads (in this case there are 9 staff) or 6pens, 9pencils, 12pads (in this case there are 3 staff) or there may be only 1 staff who received 18pens, 27pencils, 36pads. Information not sufficient.
Combining both the statements, we can determine there are 9 staff.
My logic:
St 1: We can not determine number with only ratios, except for some special cases. And this is not one of those special cases!
St 2: No of staff can be 9 or any factor of 9, i.e 3 or 1. (See GCM of 18, 27 and 36 is 9). So it is also insufficient.
Combining (1) and (2), we don't get any new information. Whether the toal no. of staff is 1, 3 or 9, the ratio of pen, pencil and pad given to each member will be 2:3:4 So both the statements together are also insufficient. Hence, answer is (E).
Please provide the OA.
Trust but verify.
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cramya
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Together:
2:3:4
18:27:36
3 staff members each getting 6 pens,9 pencils and 12 pads
9 staff members each getting 2 pens,3 pencils and 4 pads
The ratios is maintained in both cases above
Hence e
Well put, Uri!
2:3:4
18:27:36
3 staff members each getting 6 pens,9 pencils and 12 pads
9 staff members each getting 2 pens,3 pencils and 4 pads
The ratios is maintained in both cases above
Hence e
Well put, Uri!
This is by far the most accurate explanation that i've read for this question.
Uri wrote:why are you ignoring a total of 3 staff members?Vemuri wrote:IMO C
Stmt1: Provides only the ratio. Not sufficient
Stmt2: Provides the total number of pens, pencils & pads distributed. Each of the staff may have received 2pens, 3pencils, 4pads (in this case there are 9 staff) or 6pens, 9pencils, 12pads (in this case there are 3 staff) or there may be only 1 staff who received 18pens, 27pencils, 36pads. Information not sufficient.
Combining both the statements, we can determine there are 9 staff.
My logic:
St 1: We can not determine number with only ratios, except for some special cases. And this is not one of those special cases!
St 2: No of staff can be 9 or any factor of 9, i.e 3 or 1. (See GCM of 18, 27 and 36 is 9). So it is also insufficient.
Combining (1) and (2), we don't get any new information. Whether the toal no. of staff is 1, 3 or 9, the ratio of pen, pencil and pad given to each member will be 2:3:4 So both the statements together are also insufficient. Hence, answer is (E).
Please provide the OA.
