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Two equally sized jugs full of water are each emptied into t
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11 Dec 2012, 06:37
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Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water? A. 0 B. 1/15 C. 2/15 D. 1/10 E. 2/10 I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please?
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Re: Two equally sized jugs full of water are each emptied into t
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11 Dec 2012, 09:15
apoorvarora wrote: Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
A. 0 B. 1/15 C. 2/15 D. 1/10 E. 2/10
I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please? There are equal amounts of water in jars X and Y, say 2L, then: The capacity of jar X is 10L (1/5*10=2L). The capacity of jar Y is 3L (2/3*3=2L). Now, in order jar Y to be full we need to pour 1L from jar X to jar Y, thus there will be 1L of water left in jar X, which is 1/10 of it. Answer: D. Similar question to practice: equalamountofwaterwerepouredintotwoemptyjarsof98962.html?hilit=water
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Re: Two equally sized jugs full of water are each emptied into t
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18 Jun 2013, 00:46
Jug X is filled 1/5th = 1/5 x.............. (1) Jug Y is filled 2/3rd = 2/3 y................(2) From the condition given, (1) = (2) So, 1/5x = 2/3y.............................. (3) To fill the Jug Y completely, additional water required = y2/3y = 1/3y............................................ (4) Comparing (3) & (4), we get 1/3y = 1/10 x So, Answer = D
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Re: Two equally sized jugs full of water are each emptied into t
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11 Dec 2012, 08:53
apoorvarora wrote: Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
a. 0 b. 1/15 c. 2/15 d. 1/10 e. 2/10
I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please? Suppose the water in each jug is L liters CX x (1/5) = L CX = 5L liters CX is capacity of X CY x (2/3) = L CY = 3L/2 liters CY is capacity of Y Now, Y is 3L/2  L empty = L/2 empty So, we can put only L/2 water in jug Y from Jug X Jug X's remaining water = L  L/2 = L/2 Fraction of X which contains water = water / CX = (L/2)/ 5L = 1/10 Answer will be D Hope it helps!
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Re: Two equally sized jugs full of water are each emptied into t
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11 Dec 2012, 16:44
thanx...for the explanation



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Re: Two equally sized jugs full of water are each emptied into t
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02 Apr 2014, 07:08
\(\frac{1}{5}Cx = \frac{2}{3}Cy\) \(\frac{Cx}{Cy} = \frac{10}{3}\) 10x in X  3x in Y One fifth of 10x = 2x Two third of 3x = 2x capacity available x So x is transfered from X to Y quanity left x thus, \(\frac{x}{10x} = \frac{1}{10}\)
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Re: Two equally sized jugs full of water are each emptied into t
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02 Apr 2014, 21:06
1/5 of jug X = 2/3 of jug Y We have to fill 1/3 more of jug Y, which is therefore 1/10 of jug X => Proportion of jug X that will remain filled = 1/5  1/10 = 1/10 Option (D).
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Re: Two equally sized jugs full of water are each emptied into t
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20 Dec 2015, 00:56
GyanOne wrote: 1/5 of jug X = 2/3 of jug Y We have to fill 1/3 more of jug Y, which is therefore 1/10 of jug X => Proportion of jug X that will remain filled = 1/5  1/10 = 1/10
Option (D). Hey Gyanone I do not understand how 1/3 is 1/10 of jug y



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Re: Two equally sized jugs full of water are each emptied into t
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30 Dec 2015, 21:02
1/5x=2/3y
x/y=10/3
so (1/3)*3=1 unit is free in Y and (1/5)*10=2 units X can give Y
1/10 leaves in X after pouring Y
D



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Re: Two equally sized jugs full of water are each emptied into t
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16 Feb 2017, 22:18
My 2 Cents:
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Re: Two equally sized jugs full of water are each emptied into t
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21 Feb 2017, 16:46
Can someone please explain this question with the numbers? Iam not understanding the first line given in the question. They say the jar had equal capacity before pouring into x and y right?Then why are the capacity equal to each other after pouring??



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Re: Two equally sized jugs full of water are each emptied into t
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21 Feb 2017, 17:52
apoorvarora wrote: Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
A. 0 B. 1/15 C. 2/15 D. 1/10 E. 2/10
I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please? if 1/5*X=2/3*Y, then 1/10*X=1/3*Y, which will fill Y, leaving 1/5*X1/10*X=1/10 of X containing water



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Re: Two equally sized jugs full of water are each emptied into t
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27 Jun 2017, 04:00
Bunuel wrote: apoorvarora wrote: Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
A. 0 B. 1/15 C. 2/15 D. 1/10 E. 2/10
I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please? There are equal amounts of water in jars X and Y, say 2L, then: The capacity of jar X is 10L (1/5*10=2L). The capacity of jar Y is 3L (2/3*3=2L). Now, in order jar Y to be full we need to pour 1L from jar X to jar Y, thus there will be 1L of water left in jar X, which is 1/10 of it. Answer: D. The question says that the water in the unnamed jugs was equal, that is their capacity was equal and not that X and Y are equal. Pls explain..... Most of the solutions here say that 1/5x=2/3y....I do not understand that how..?



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Re: Two equally sized jugs full of water are each emptied into t
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27 Jun 2017, 04:07
siddreal wrote: Bunuel wrote: apoorvarora wrote: Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
A. 0 B. 1/15 C. 2/15 D. 1/10 E. 2/10
I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please? There are equal amounts of water in jars X and Y, say 2L, then: The capacity of jar X is 10L (1/5*10=2L). The capacity of jar Y is 3L (2/3*3=2L). Now, in order jar Y to be full we need to pour 1L from jar X to jar Y, thus there will be 1L of water left in jar X, which is 1/10 of it. Answer: D. The question says that the water in the unnamed jugs was equal, that is their capacity was equal and not that X and Y are equal. Pls explain..... Most of the solutions here say that 1/5x=2/3y....I do not understand that how..? Where do you see that the solution says that the capacity of X and Y are equal? The solution clearly mentions that X and Y have equal amounts of water but the capacity of X is 10L and the capacity of Y is 3L.
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Re: Two equally sized jugs full of water are each emptied into t
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27 Jun 2017, 05:14
apoorvarora wrote: Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
A. 0 B. 1/15 C. 2/15 D. 1/10 E. 2/10
I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please? Let the capacity of Jug X be X, and that of Jug Y be Y . so 1/5 X = 2/3 Y > X = 10/3 Y.......................(i) Also total volume of 2 jugs = 2/3 Y*2 = 4/3 Y So when the Jug Y is filled fully, The amount of water left in Jug X = 4/3 Y  Y = 1/3 Y = (1/3) (3/10 X) [From (i) Y = 3/10 X] = 1/10 X Answer D
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Re: Two equally sized jugs full of water are each emptied into t
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27 Jun 2017, 05:34
apoorvarora wrote: Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
A. 0 B. 1/15 C. 2/15 D. 1/10 E. 2/10
I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please? p = X/5 = 2Y/3 Y/3 water is required X/5Y/3 Water Poured x/5x/10=x/10 D
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Two equally sized jugs full of water are each emptied into t
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27 Jun 2017, 09:44
IMO, I think plugging number is the best approach to this sort of problem, especially for the not so confident test taker. Bunuel has given a variety of the this in a post above. Here is a similar, but IMO more foolproof approach.
1. Look for a number that is a multiple of all the integers, in the question, i.e 2*3*5 = 30. 2. Now, take this number as the equal starting volume and the find the capacity of each new jug. 1/5(X) = 30, X= 150 2/3(Y) = 30, Y= 45
3. Now take 15 from X to fill Y up. This leaves 15 in X. 30+15 = 45 ( Fills up Y) 3015 = 15 ( Remains in X)
4. Fraction of water remaining in X = 15/150 = 1/10 (D)



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Two equally sized jugs full of water are each emptied into t
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27 Jun 2017, 19:43
Let the two equally sized jugs contain 2 liters of water , Now water is poured in two unequal empty jugs 2/x=1/5 and 2/y=2/3 solving above we have capacities of x=10 and y=3 Now y contains 2 liters of water so it needs only 1 liter to get full. From X we take 1 liter , so the water now remaining in X is 1 liter so the fraction of water left is 1/10
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Re: Two equally sized jugs full of water are each emptied into t
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27 Jun 2017, 20:42
apoorvarora wrote: Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
A. 0 B. 1/15 C. 2/15 D. 1/10 E. 2/10
I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please? 1. Let us take the amount of water emptied as 10 L + 10 L i.e., jug x and jug y contain 10 L each 2. Jug x is 1/5 full i.e., capacity of jug x is 10*5=50 L 3. Jug y is is 2/3 full i.e., capacity of jug y is 10*3/2=15 L. 4. Five more liters will make jug y full. 5. After pouring 5 L, water left in jug x is 5 L. 6. Fraction of water contained in jug x is 5/50 = 1/10
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Re: Two equally sized jugs full of water are each emptied into t
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