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

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Senior Manager
Status: 1,750 Q's attempted and counting
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Canister C is 1/2 full of water and canister D, which has twice the  [#permalink]

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18 Nov 2013, 11:12
1
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Difficulty:

45% (medium)

Question Stats:

66% (01:38) correct 34% (01:51) wrong based on 353 sessions

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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

##### Most Helpful Expert Reply
Math Expert
Joined: 02 Sep 2009
Posts: 62290
Re: Canister C is 1/2 full of water and canister D, which has twice the  [#permalink]

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19 Nov 2013, 01:30
2
3
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

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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Joined: 02 Sep 2009
Posts: 62290
Re: Canister C is 1/2 full of water and canister D, which has twice the  [#permalink]

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19 Nov 2013, 01:31
1
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

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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23 Nov 2013, 13:45

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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01 Dec 2013, 20:19
1
How do you suddenly jump to 6 litter and 12 litter
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Joined: 02 Sep 2009
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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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02 Dec 2013, 00:33
arindamsur wrote:
How do you suddenly jump to 6 litter and 12 litter

We are told that canister canister D has twice the capacity of canister C.

Thus if we assume that C has a capacity of 6 liters, then the capacity of D must be twice of that, so 12 liters.

Hope it's clear.
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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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10 Jan 2016, 09:46
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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26 Apr 2016, 19:27
1
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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08 Jun 2017, 12:41
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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29 Sep 2018, 09:47
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]

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22 Oct 2019, 10:57
Canister C, using smart numbers = 60 liters, 1/2 = 30

so 30 liters of 60 liters,

Canister D = 2x C so 120 liters, and it is 1/3 full = 40

It will take 40 liters of D to fill canister C so 10 liters remain = 10/120 = 1/12
Re: Canister C is 1/2 full of water and canister D, which has twice the   [#permalink] 22 Oct 2019, 10:57
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# Canister C is 1/2 full of water and canister D, which has twice the

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