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nahid78
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A container has 4L of pure wine. 1L from the container is taken out an 11 Jun 2022, 11:45
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95% (hard)

Question Stats:

27% (02:47) correct 73% (02:35) wrong based on 81 sessions

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A container has 4L of pure wine. 1L from the container is taken out and 2L water is added. The process is repeated several times. After 12 such operations, quantity of wine in mixture is

A. 1/20 L
B. 1/7 L
C. 1/4 L
D. 2/9 L
E. 4/5 L
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E
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Regor60
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A container has 4L of pure wine. 1L from the container is taken out an 12 Jun 2022, 14:45
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nahid78
A container has 4L of pure wine. 1L from the container is taken out and 2L water is added. The process is repeated several times. After 12 such operations, quantity of wine in mixture is

A. 1/20 L
B. 1/7 L
C. 1/4 L
D. 2/9 L
E. 4/5 L
Show more

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Stanindaw
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A container has 4L of pure wine. 1L from the container is taken out an 20 Nov 2022, 02:37
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Regor60
nahid78
A container has 4L of pure wine. 1L from the container is taken out and 2L water is added. The process is repeated several times. After 12 such operations, quantity of wine in mixture is

A. 1/20 L
B. 1/7 L
C. 1/4 L
D. 2/9 L
E. 4/5 L

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CixVi= CfxVf
Ci= 1 (Pure Wine)
Vi= 4-1 =3 L
Vf= 3+2 =5 L
1x3=Cfx5
Cf= 1(3/5)
Operation is done 12 times
Cf= 1(3/5)x(4/6)x(5/7)..........(14/16)
Cf= 1/20
Vf=16 ( In last operation Vf is 16)
Amount of Wine = CfVf
=4/5

Check the explanation of expert Karishma here
https://gmatclub.com/forum/a-container- ... ml#p647070
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A container has 4L of pure wine. 1L from the container is taken out an 30 Jun 2024, 03:32
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Stanindaw

Regor60

nahid78
A container has 4L of pure wine. 1L from the container is taken out and 2L water is added. The process is repeated several times. After 12 such operations, quantity of wine in mixture is

A. 1/20 L
B. 1/7 L
C. 1/4 L
D. 2/9 L
E. 4/5 L
 
Posted from my mobile device
CixVi= CfxVf
Ci= 1 (Pure Wine)
Vi= 4-1 =3 L
Vf= 3+2 =5 L
1x3=Cfx5
Cf= 1(3/5)
Operation is done 12 times
Cf= 1(3/5)x(4/6)x(5/7)..........(14/16)
Cf= 1/20
Vf=16 ( In last operation Vf is 16)
Amount of Wine = CfVf
=4/5

Check the explanation of expert Karishma here
https://gmatclub.com/forum/a-container- ... ml#p647070
 
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Stanindaw Could you please explain how CixVi= CfxVf? I have gone through KarishmaB explanation, but I did not understand -
Quote:
1. When a fraction of a solution is removed, the percentage of either part does not change. If milk:water = 1:1 in initial solution, it remains 1:1 in final solution.
2. When you add one component to a solution, the amount of other component does not change. In milk and water solution, if you add water, amount of milk is the same (not percentage but amount)
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­When we are removing one litre of the solution for every iteration, doesn't a part of the wine also get removed and hence the change in its percentage?
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