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Marcia's bucket can hold a maximum of how many liters of wat

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Marcia's bucket can hold a maximum of how many liters of wat [#permalink]  29 Sep 2008, 04:39
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Question Stats:

75% (01:37) correct 25% (00:31) wrong based on 44 sessions
Marcia's bucket can hold a maximum of how many liters of water?

(1) The bucket currently contains 9 liters of water.
(2) If 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3.

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-official-guide-quantitative-question-directory-143450.html
[Reveal] Spoiler: OA

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Last edited by Bunuel on 08 Nov 2013, 00:12, edited 1 time in total.
Edited the question and added the OA.
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Re: DS - Marcia's Bucket [#permalink]  29 Sep 2008, 04:49
1
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IMO B

1.INSUFFICIENT
CANT CALCULATE THE MAXIMUM CAPACITY

2.SUFFICIENT
x/2 + 3 = x/2 + 1/3(x/2) <where 'x' is the max capacity>

with this equation we can get the maximum capacity of the bucket.i.e 18 litres
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Re: DS - Marcia's Bucket [#permalink]  25 Oct 2011, 21:54
prateek11587 wrote:
IMO B

1.INSUFFICIENT
CANT CALCULATE THE MAXIMUM CAPACITY

2.SUFFICIENT
x/2 + 3 = x/2 + 1/3(x/2) <where 'x' is the max capacity>

with this equation we can get the maximum capacity of the bucket.i.e 18 litres

shouldnt this be

x/2 + 3 = 1/3 ????
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Re: DS - Marcia's Bucket [#permalink]  26 Oct 2011, 00:00
from 1 we onl no current no of litres in the bucket but we don't know the capacity of bucket---------------Not sufficient

let "x" be the total capacity of bucket
now

From 2we can form an equation

(x/2)+3=x+(1/3)

from above equation we canget the value of x----------so sufficient

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Re: DS - Marcia's Bucket [#permalink]  26 Oct 2011, 10:51
1
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amitdgr wrote:
Marcia's bucket can hold a maximum of how many liters of water?
(1) the bucket currently contains 9 liters of water
(2) if 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3

x = max capacity
y = quantity of water in bucket now,

(1)
y = 9
Insufficient

(2)
y = x/2 ....... eq1
y + 3 = y (1+1/3) ......eq2
==> y=9
==> x= 18
Sufficient

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Re: DS - Marcia's Bucket [#permalink]  29 Oct 2011, 14:54
2
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siddhans wrote:

shouldnt this be

x/2 + 3 = 1/3 ????

How can x/2 + 3 (both are positive quantity) be equal to 1/3. even if x/2 is negligible, How can x/2 +3 be less than 3 ? RHS and LHS in your equation are not equal and logically can never be equal.

(2) if 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3

let the original quantity of water be X. it is given that when 3 litres are added to half capacity of bucket the amount of water increases by 1/3 times the half capacity of bucket (ie. x/2) i know that just 1/3 can be confusing but sometimes you will have to get things by logic that whether it is speaking about % increase (times increase) or absolute increase.
so the equation will be,

x/2 +3 = x/2 + 1/3(x/2)

from this you can find the value of x and thus maximum capacity of bucket, but you dont need to solve this equation. Ds questions asks weather a question can be answered or not and not the value of answer.
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Re: Marcia's bucket can hold a maximum of how many liters of [#permalink]  11 Nov 2012, 19:43
Hi,

Shouldn't the 2nd equation be

x/2 + 3 = x/2 + x/3 ??

it is increased by 1/3 of the capacity or 1/3 of the existing amount of water?>
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Re: Marcia's bucket can hold a maximum of how many liters of [#permalink]  07 Nov 2013, 19:20
Sachin9 wrote:
Hi,

Shouldn't the 2nd equation be

x/2 + 3 = x/2 + x/3 ??

it is increased by 1/3 of the capacity or 1/3 of the existing amount of water?>

agreed.

half of the container that is x liters when full is x/2 and we're adding 3L liters to it. this is equal to half of the container (x/2) plus one third of the size of the container, x/3. the equation is:

x/2 + 3 = x/2 + x/3

3 = x/3
9 = x
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Re: Marcia's bucket can hold a maximum of how many liters of wat [#permalink]  08 Nov 2013, 00:14
Expert's post
Marcia's bucket can hold a maximum of how many liters of water?

(1) The bucket currently contains 9 liters of water. This implies that the bucket can hold at least 9 liters of water. Not sufficient.

(2) If 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3 --> x/2+3=x/2+x/2*1/3 --> we can find x. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-official-guide-quantitative-question-directory-143450.html

ALL OG 13 QUESTIONS ARE HERE: the-official-guide-quantitative-question-directory-143450.html

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Re: Marcia's bucket can hold a maximum of how many liters of wat   [#permalink] 08 Nov 2013, 00:14
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