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DS: Department Stores

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VP
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DS: Department Stores [#permalink]

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New post 19 Nov 2005, 23:10
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A
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Director
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New post 20 Nov 2005, 05:03
Quote:
At a certain department store present-wrapping counter, each clerk will wrap no fewer than twenty and no more than thirty presents per hour. If seventy people are standing in line, will all of their presents be wrapped after one hour?

(1) Each person in line has at least one present to be wrapped by one of the six clerks at the counter.
(2) If each person in line had one more present to be wrapped, nine clerks would be required to guarantee that every present would be wrapped in one hour.


IMO, (C) is the correct answer.

From the stem, we have the following meaningful information;
- There are 70 customers.
- One clerk will handle from 20 to 30 wrappings.

From Stat(1), we have the following meaningful information;
- There are 6 clerks.

From Stat(2), we have the following meaningful information;
- One customer has, on average, 2 gifts.
( let x be the average number of gifts. then, 9*20<70x+70<9*30.
2 is the only possible number of gifts)


From Stat(1), we don't know how many gifts are there, thus insufficient.
From Stat(2), we don't know how many clerks are there, thus insufficient.

From Stat(1)(2) combined, we know how many clerks & gifts are there, thus sufficient.
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New post 20 Nov 2005, 06:16
Dear Gamjatang,
Could you explain how you arrive at 2 is the only possible no from the below equatn:
let x be the average number of gifts. then, 9*20<70x+70<9*30.
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New post 20 Nov 2005, 06:24
njss750 wrote:
Dear Gamjatang,
Could you explain how you arrive at 2 is the only possible no from the below equatn:
let x be the average number of gifts. then, 9*20<70x+70<9*30.


180 < 70x + 70 < 270

110 < 70x < 200

if x = 1, 70x = 70
if x = 2, 70x = 140
if x = 3, 70x = 210

Thus, only 2 is possible number for x.

* x should be an integer since you cannot have 2.5 gifts or 1.8 gifts.
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New post 20 Nov 2005, 15:59
Good job gamjatang! the OA is indeed C.

I'm gonna take a break and go eat Tofu Bowl now :lol: :lol:
  [#permalink] 20 Nov 2005, 15:59
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