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Canister C is 1/2 full of water and canister D, which has twice the

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Canister C is 1/2 full of water and canister D, which has twice the  [#permalink]

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New post 18 Nov 2013, 12:12
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Question Stats:

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Canister C is 1/2 full of water and canister D, which has twice the capacity of canister C, is 1/3 full of water. If the water in canister D is poured in canister C until canister C is completely full of water, canister D will still contain what fraction of its capacity of water?

(A) 0
(B) 1/36
(C) 1/12
(D) 1/6
(E) 1/4


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Re: Canister C is 1/2 full of water and canister D, which has twice the  [#permalink]

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New post 19 Nov 2013, 02:30
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avohden wrote:
Canister C is 1/2 full of water and canister D, which has twice the capacity of canister C, is 1/3 full of water. If the water in canister D is poured in canister C until canister C is completely full of water, canister D will still contain what fraction of its capacity of water?

(A) 0
(B) 1/36
(C) 1/12
(D) 1/6
(E) 1/4

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Say canister C has a capacity of 6 liters. It's half full, thus there can be poured 3 liters of water.
Canister B is 12 liters and there are 4 liters of water. We can pour 3 liters from D to C and 1 liter will still be left in D, which is 1/12 of its total capacity.

Answer: C.
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Re: Canister C is 1/2 full of water and canister D, which has twice the  [#permalink]

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New post 19 Nov 2013, 02:31
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Bunuel wrote:
avohden wrote:
Canister C is 1/2 full of water and canister D, which has twice the capacity of canister C, is 1/3 full of water. If the water in canister D is poured in canister C until canister C is completely full of water, canister D will still contain what fraction of its capacity of water?

(A) 0
(B) 1/36
(C) 1/12
(D) 1/6
(E) 1/4

oe to follow

Image


Say canister C has a capacity of 6 liters. It's half full, thus there can be poured 3 liters of water.
Canister B is 12 liters and there are 4 liters of water. We can pour 3 liters from D to C and 1 liter will still be left in D, which is 1/12 of its total capacity.

Answer: C.


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Hope this helps.
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Re: Canister C is 1/2 full of water and canister D, which has twice the  [#permalink]

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New post 23 Nov 2013, 14:45

Official Explanation


Answer: C - This is a good question on which to start with a made-up number. Recognizing that we'll have to divide by 2 and by 3, let's say the capacity of C is 30. If it's half full of water, then, it contains 15 of water (there's no unit, but we don't need one). D has twice the capacity, so its capacity is 60. It's 1/3 full of water, so it contains 20.

The next step has us pouring as much of what's in D as possible into C. C has a capacity of 30 and is currently holding 15, so it could hold 15 more. D currently holds 20, so 15 of that could be poured into C, leaving 5.

If D has a capacity of 60 and is currently holding 5, it contains 5/60 of it's capacity, or 1/12, choice (C).
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Re: Canister C is 1/2 full of water and canister D, which has twice the  [#permalink]

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New post 01 Dec 2013, 21:19
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How do you suddenly jump to 6 litter and 12 litter
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Re: Canister C is 1/2 full of water and canister D, which has twice the  [#permalink]

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New post 02 Dec 2013, 01:33
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Re: Canister C is 1/2 full of water and canister D, which has twice the  [#permalink]

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New post 10 Jan 2016, 10:46
Hi all,

If we assume the total Volume of C to be P, then it is P/2 full, then volume of D would be 2P and it would be 2P/3 full

If we pour P/2 from D to C, we would be left with 2P/3-P/2 = P/6...

I'm not able to point out where the error is. Can someone assist me?
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Re: Canister C is 1/2 full of water and canister D, which has twice the  [#permalink]

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New post 26 Apr 2016, 20:27
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appsy01 wrote:
Hi all,

If we assume the total Volume of C to be P, then it is P/2 full, then volume of D would be 2P and it would be 2P/3 full

If we pour P/2 from D to C, we would be left with 2P/3-P/2 = P/6...

I'm not able to point out where the error is. Can someone assist me?


you have got right upto P/6
But ATQ --->canister D will still contain what fraction of its capacity of water
and the capacity of D is 2P...so the remaining fraction should be (p/6)/2P--1/12
Ans C
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Re: Canister C is 1/2 full of water and canister D, which has twice the  [#permalink]

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New post 08 Jun 2017, 13:41
Bunuel wrote:
avohden wrote:
Canister C is 1/2 full of water and canister D, which has twice the capacity of canister C, is 1/3 full of water. If the water in canister D is poured in canister C until canister C is completely full of water, canister D will still contain what fraction of its capacity of water?

(A) 0
(B) 1/36
(C) 1/12
(D) 1/6
(E) 1/4


C needs 1/4 of D to become full, leaving D filled to 1/3-1/4=1/12 of its capacity
1/12
C
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Re: Canister C is 1/2 full of water and canister D, which has twice the  [#permalink]

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New post 29 Sep 2018, 10:47
Let the capacities of the canisters be x and 2x then water in canisters will be (1/2) x and (2/3)x respectively.
(1/2)x more will go into 1st canister =>left behind water in 2nd canister=(2/3)x-(1/2)x=(1/6)x
So, (1/6)x/2x= (1/12)..C is the correct choice.
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Re: Canister C is 1/2 full of water and canister D, which has twice the   [#permalink] 29 Sep 2018, 10:47
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