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# An office supply room is used to store paper. What is the maximum numb

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Joined: 27 Dec 2012
Posts: 33
An office supply room is used to store paper. What is the maximum numb  [#permalink]

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Updated on: 15 Feb 2017, 06:37
00:00

Difficulty:

25% (medium)

Question Stats:

87% (01:22) correct 13% (02:06) wrong based on 27 sessions

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An office supply room is used to store paper. What is the maximum number of stacks of paper that the room can hold?

1. Currently there are 20 stacks of paper.
2. If 5 stacks of paper are removed when the room is half full, then the number of stacks of paper will decrease by 1/3.

Originally posted by sauravleo123 on 15 Feb 2017, 05:39.
Last edited by Bunuel on 15 Feb 2017, 06:37, edited 1 time in total.
Renamed the topic and edited the question.
VP
Joined: 05 Mar 2015
Posts: 1003
An office supply room is used to store paper. What is the maximum numb  [#permalink]

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Updated on: 15 Feb 2017, 22:49
sauravleo123 wrote:
An office supply room is used to store paper. What is the maximum number of stacks of paper that the room can hold?

1. Currently there are 20 stacks of paper.
2. If 5 stacks of paper are removed when the room is half full, then the number of stacks of paper will decrease by 1/3.

(1) clearly insuff
(2) let R be max. number of stacks of paper that the room can hold
then R/2-5 = R/2(1-1/3)
R/2-5 =R/3
thus R=30

Ans B

Originally posted by rohit8865 on 15 Feb 2017, 06:59.
Last edited by rohit8865 on 15 Feb 2017, 22:49, edited 1 time in total.
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Re: An office supply room is used to store paper. What is the maximum numb  [#permalink]

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15 Feb 2017, 21:40
sauravleo123 wrote:
An office supply room is used to store paper. What is the maximum number of stacks of paper that the room can hold?

1. Currently there are 20 stacks of paper.
2. If 5 stacks of paper are removed when the room is half full, then the number of stacks of paper will decrease by 1/3.

St I
Currently there are 20 stacks of paper. No other information is provided ----------Insufficient

St II
If 5 stacks of paper are removed when the room is half full, then the number of stacks of paper will decrease by 1/3
Let x be the max number of stacks of paper.
Therefore (x/2)-5 = x*(1/3)
(x/2)-(x/3)=5
x/6=5
x=30 ----------Sufficient

Hence Option B is correct.
Hi Kudos if you liked it
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An office supply room is used to store paper. What is the maximum numb  [#permalink]

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15 Feb 2017, 21:41
1
rohit8865 wrote:
sauravleo123 wrote:
An office supply room is used to store paper. What is the maximum number of stacks of paper that the room can hold?

1. Currently there are 20 stacks of paper.
2. If 5 stacks of paper are removed when the room is half full, then the number of stacks of paper will decrease by 1/3.

(1) clearly insuff
(2) let R be max. number of stacks of paper that the room can hold
then R/2-5 = R/2(1-1/3)
R/2-5 =R/3
thus R=15

Ans B

hi @rohit8864, just a minor correction R = 30 and not 15.
VP
Joined: 05 Mar 2015
Posts: 1003
Re: An office supply room is used to store paper. What is the maximum numb  [#permalink]

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15 Feb 2017, 22:49
0akshay0 wrote:
rohit8865 wrote:
sauravleo123 wrote:
An office supply room is used to store paper. What is the maximum number of stacks of paper that the room can hold?

1. Currently there are 20 stacks of paper.
2. If 5 stacks of paper are removed when the room is half full, then the number of stacks of paper will decrease by 1/3.

(1) clearly insuff
(2) let R be max. number of stacks of paper that the room can hold
then R/2-5 = R/2(1-1/3)
R/2-5 =R/3
thus R=15

Ans B

hi @rohit8864, just a minor correction R = 30 and not 15.

Edited!!!!! +1 to u
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Re: An office supply room is used to store paper. What is the maximum numb  [#permalink]

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16 Feb 2017, 11:15
sauravleo123 wrote:
An office supply room is used to store paper. What is the maximum number of stacks of paper that the room can hold?

1. Currently there are 20 stacks of paper.
2. If 5 stacks of paper are removed when the room is half full, then the number of stacks of paper will decrease by 1/3.

We need to determine the maximum number of stacks of paper that a room can hold.

Statement One Alone:

Currently there are 20 stacks of paper.

Statement one alone does not provide sufficient information to determine the maximum stacks of paper that the room can hold.

Statement Two Alone:

If 5 stacks of paper are removed when the room is half full, then the number of stacks of paper will decrease by 1/3.

We can let x = the maximum stacks of paper that the room can hold and create the following equation:

(1/2)x - 5 = (2/3)(1/2)x

(1/2)x - 5 = (1/3)x

Multiplying the entire equation by 6 gives us:

3x - 30 = 2x

x = 30

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Re: An office supply room is used to store paper. What is the maximum numb &nbs [#permalink] 16 Feb 2017, 11:15
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