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Mary's bucket can hold a maximum of how many liters of water

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Mary's bucket can hold a maximum of how many liters of water [#permalink]

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New post 06 Jun 2013, 17:30
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A
B
C
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E

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Question Stats:

73% (00:54) correct 27% (01:05) wrong based on 135 sessions

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Mary's bucket can hold a maximum of how many liters of water?

(1) The bucket 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.

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Re: Mary's bucket can hold a maximum of how many liters of water [#permalink]

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New post 06 Jun 2013, 18:28
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Answer is B

Let the total capacity of the bucket be 2x, then half of 2x is x

x+3 = 1/3 x + x
x= 9

Total capacity= 2x= 18 litres
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Mary's bucket can hold a maximum of how many liters of water [#permalink]

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New post Updated on: 21 May 2017, 03:40
Consider Statement A

The bucket contains 9 liters of water

The above statement is insufficient to answer the question that how many liters of water Mary's bucket can hold.

Statement A is insufficent

Consider Statement B

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 us consider the initial capacity of the water in the bucket as 2x .
Then we get x+3 = x+(1/3)x
x=9 therefore 2x=18.

Statement B is sufficient.

Therefore answer is Option B
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Originally posted by Kritesh on 09 May 2017, 08:34.
Last edited by Kritesh on 21 May 2017, 03:40, edited 1 time in total.
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Re: Mary's bucket can hold a maximum of how many liters of water [#permalink]

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New post 12 May 2017, 10:04
I have done like this : total amount of water = x
amount increased would be 1/3 (x/2) as the amount of water initially is (x/2).
amount increased in numeric terms = 3
1/3(x/2) = 3
Therefore x = 18 lts
Re: Mary's bucket can hold a maximum of how many liters of water   [#permalink] 12 May 2017, 10:04
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Mary's bucket can hold a maximum of how many liters of water

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