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Drum x is 1/2 full of oil and drum y, which has twice the capacity of
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Updated on: 13 Feb 2015, 03:09
Question Stats:
75% (01:31) correct 25% (01:41) wrong based on 376 sessions
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Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/3 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity? A. 3/4 B. 5/6 C. 11/12 D. 7/6 E. 11/6 why not: drum x capacity = x drum y capacity = 2x
drum y contains 2/3(2x) = 4/3x oil drum x + y = 4/3x + 1/2x = 11/6x answer E ... this is wrong.
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Originally posted by ggarr on 27 Mar 2007, 19:10.
Last edited by Bunuel on 13 Feb 2015, 03:09, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.



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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of
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27 Mar 2007, 19:16
pick numbers 
drum A capacity 3 units
drum B capacity 6 units
drum A contains 1.5 units.
drum B contains4 units.
drum B gets filled 5.5 after pouring 1.5 from A to B.
Hence drum B is full 5.5/6 of its capacity. i.e. 11/12



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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of
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27 Mar 2007, 19:29
ggarr wrote: Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/3 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?
3/4 5/6 11/12 7/6 11/6
why not: drum x capacity = x drum y capacity = 2x
drum y contains 2/3(2x) = 4/3x oil drum x + y = 4/3x + 1/2x = 11/6x answer E ... this is wrong.
its correct except ... you need to divide by the actual capacity of the drum to get the fraction so
(11x/6)/(2x) = 11/12



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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of
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27 Mar 2007, 19:43
ggarr wrote: Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/3 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?
3/4 5/6 11/12 7/6 11/6
why not: drum x capacity = x drum y capacity = 2x
drum y contains 2/3(2x) = 4/3x oil drum x + y = 4/3x + 1/2x = 11/6x answer E ... this is wrong.
The answer is in terms of Drum Y, so I did the calc in terms of Y...
So...
X is 1/2 the size of Y and is 1/2 full... so in terms of Y, X is 1/4
Y as we already know is 2/3 full...
therefore, when you add the two drums together...
2/3 + 1/4 = (8+3)/12 = 11/12



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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of
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26 May 2007, 12:53
ggarr wrote: Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/3 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?
3/4 5/6 11/12 7/6 11/6
There is a variation of this question. How do i set this one up?
Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/J full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?
3/4
5/6
11/12
7/6
11/6



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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of
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26 May 2007, 13:39
[quote="bmwhype2"][quote="ggarr"]Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/3 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?
3/4
5/6
11/12
7/6
11/6
[/quote]
There is a variation of this question. How do i set this one up?
Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/J full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?
3/4
5/6
11/12
7/6
11/6[/quote]
Let C be the capacity of oil drum X
then the capacity of drum Y is 2C
if 1/2 of X is filled, then it is filled to C/2
similarly, if 2/J of Y is filled, it is filled to 4C/J
now, all of X is poured into Y, the total in Y is C/2 + 4C/J
this equals to (CJ + 8C)/2J = C(J+8)/2J
Now, Y is filled to (C(J+8)/2J)/2C = (J+8)/4J
I hope this is what you were looking for. I was a little confused with J in the question and none of the answer choices lending themselves as being correct.
cheers



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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of
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01 Jun 2007, 22:17
saurster wrote: bmwhype2 wrote: ggarr wrote: Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/3 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?
3/4 5/6 11/12 7/6 11/6
There is a variation of this question. How do i set this one up? Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/J full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity? 3/4 5/6 11/12 7/6 11/6 Let C be the capacity of oil drum X then the capacity of drum Y is 2C if 1/2 of X is filled, then it is filled to C/2 similarly, if 2/J of Y is filled, it is filled to 4C/J now, all of X is poured into Y, the total in Y is C/2 + 4C/J this equals to (CJ + 8C)/2J = C(J+8)/2J Now, Y is filled to (C(J+8)/2J)/2C = (J+8)/4J I hope this is what you were looking for. I was a little confused with J in the question and none of the answer choices lending themselves as being correct. cheers
PS1000 has many many many typos and errata? this being one of them.



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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of
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01 Jun 2007, 23:42
Love the solutions here. Thx.
Heres how I solved it.
Drum x is 1/2 of y or 2x=y
Pick numbers:
x=50, y=100 Holds true to the equations above.
2/3 of y = 66.66666... 1/2 of x = 25.
Add 25+66.66666 = 91.6666666... Now just find an answer choice that has this percentage and its C.



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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of
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02 Nov 2011, 11:25
Picking smart numbers like 6 or 100 will give the answer.
Lets say Drum x capacity is 100. Drum Y capacity will be 200.
Oil in drum x is 50 Oil in drum y is 100* 2/3 = 400/3
Fraction of oil in y after x is emptied into y is = (50 + 400/3) / 200 = 550/600 = 11/12 Answer is c



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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of
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11 Mar 2015, 17:30
[quote="ggarr"]Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/3 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?
A. 3/4 B. 5/6 C. 11/12 D. 7/6 E. 11/6
Hello All,
I took the exact approach as others to solve this problem.
Let's say drum X has a capacity of 2, which means drum Y will have a capacity of 4 (twice the capacity of drum x) . if Drum x is 1/2 full then 2.1/2=1 If drum y is 2/3 full then 4.2/3=8/3. If all the oil is poured from x to y then we can add 1+8/3 = 11/3. Now to see the what drum y's capacity will be filled to we can do 11/3 divided by four, which is equal to 11/12 (c)



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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of
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12 Mar 2015, 02:34



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Re: Drum X is 1/2 full of oil and drum Y, which has twice the capacity of
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06 Dec 2017, 23:03
Bunuel wrote: Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/3 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?
(A) 3/4 (B) 5/6 (C) 11/12 (D) 7/6 (E) 11/6 2/3+1/4 = 11/12 Sent from my Moto G (4) using GMAT Club Forum mobile app



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Re: Drum X is 1/2 full of oil and drum Y, which has twice the capacity of
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07 Dec 2017, 00:36
Bunuel wrote: Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/3 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?
(A) 3/4 (B) 5/6 (C) 11/12 (D) 7/6 (E) 11/6 Assume Drum X capacity to be 300 and Drum Y capacity to be 600 Drum X has 150 lltrs and Drum Y has 400 ltrs After pouring Drum y will be 550/600 = 11/12 C
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Drum X is 1/2 full of oil and drum Y, which has twice the capacity of
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07 Dec 2017, 16:54
Bunuel wrote: Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/3 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?
(A) 3/4 (B) 5/6 (C) 11/12 (D) 7/6 (E) 11/6 Algebra\(X = \frac{1}{2}Y\) \(X\) is half full of oil. Its oil amount constitutes: \(\frac{1}{2}\) of \(\frac{1}{2}Y\) \(\frac{1}{2} * \frac{1}{2}Y=\frac{1}{4}Y\) \(Y\) is \(\frac{2}{3}\) full of oil = \(\frac{2}{3}Y\) Contents of X are poured into Y: \(\frac{1}{4}Y + \frac{2}{3}Y=\frac{(3 + 8)}{12}=\frac{11}{12}Y\) Answer C Pick numbers. For Y, do not go smaller than any denominator in answer choicesLet X's capacity = 6 gallons Y's capacity = (2 * X) = 12 gallons X is 1/2 full of oil: 6 * 1/2 = 3 gallons inside Y is 2/3 full 12 * 2/3 = 8 gallons inside X's oil is poured into Y: 3 + 8 = 11 \(\frac{FillAmt}{CapacityY} = \frac{11}{12}\) Answer C



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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of
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19 Mar 2018, 10:06
Hi All, TESTing Values will work great on this question. Based on what the question asks for and the answer choices, a great number to pick for Drum Y's capacity is 12. That number is based on the common denominator of the 5 options. Now, we just need to follow the facts in this question and create a little table: We're told that Drum Y is 2/3 full of oil: Drum Y = capacity of 12; has 8 in it We're also told that Drum Y has twice the capacity of Drum X and that Drumb X is 1/2 full of oil: Drum X = capacity of 6; has 3 in it Finally, we're told to pour the oil from Drum X into Drum Y…. Drum Y = 8+3 = 11 Drum Y is 11/12 full Final Answer: GMAT assassins aren't born, they're made, Rich
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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of
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20 Mar 2018, 14:08
Hi, I figured a faster approach here: As we know that the capacity of y = 2x, and 1/2 of x is filled with oil, hence, when you pour from x to y, 1/4 part of y is filled with oil( Refer to y= 2x) So (1/4 + 2/3)y = 11/12y Ans: C 30 Sec. Logical. Simple. And Effective Posted from my mobile device




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