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Equal amount of water were poured into two empty jars of [#permalink]

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11 Aug 2010, 13:17

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C

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25% (medium)

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70% (01:03) correct 30% (00:57) wrong based on 617 sessions

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Equal amount of water were poured into two empty jars of different capacities, which made one jar 1/4 full and other jar 1/3 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?

Equal amount of water were poured into two empty jars of different capacities, which made one jar 1/4 full and other jar 1/3 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?

A. 1/7 B. 2/7 C. 1/2 D. 7/12 E. 2/3

Shortcut solution:

Some amount of water made bigger jar 1/4 full, then the same amount of water (stored for a while in smaller jar) were added to bigger jar, so bigger jar is 1/4+1/4=1/2 full.

Re: Equal amounts of water were poured into two empty jars of [#permalink]

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04 Dec 2011, 10:29

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Capacity larger jar = x Let 20 litters water poured into each jar so x*1/4 = 20 x = 80 Total water of larger jar after pouring the water of smaller jar = 20+20 = 40 40/80 = 1/2 Ans. C
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Re: Equal amounts of water were poured into two empty jars of [#permalink]

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06 Dec 2011, 23:12

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Equal amounts of water were poured into both jars and this made big jar as 1/4 full then same amount from smaller jar is poured . It will make 2*(1/4)= 1/2 full

Re: Equal amount of water were poured into two empty jars of [#permalink]

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29 Nov 2014, 13:45

this is how i did it..

1/3 of the second jar is equal to 1/4 of the first one therefore if you add that one to the first jar then it should be 1/4+1/4 which should give you 1/2

Re: Equal amount of water were poured into two empty jars of [#permalink]

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04 Jan 2015, 06:41

I actually drew the jars to solve it, without calculating anything...

Just to give you a good laugh, I will describe how:

So, I first created one jar, and marked its 1/4th and 1/3rd. This showed me that if these were 2 jars, the one filled up to its 1/4th must be the bigger one.

Then I just drew 2 same jars, next to eac other, and marked 1/4th in one and 1/3rd in the other. I pulled the line that marked the 1/4th of one jar on the second jar, and saw that there was only a little it lower than the 1/3rd. The I realised that if I moved the rest to jar one, it would be filled half way... So, 1/2.

Mind that I am a psychologist... Sometimes, it is easier for me not to do the math!

Re: Equal amount of water were poured into two empty jars of [#permalink]

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18 Jan 2015, 05:09

Assume that the total water in the Jar is 2 litres. Since equal amounts of water is poured into the other 2 jars, we know that 1 litre of water was poured in each.

Hence, for the jar with Higher capacity, 1l=1/4 the capacity and for the jar with lower capacity, 1l=1/3 the capacity.

Hence, the total capacity of the jar with higher capacity=4 litres If 1 litre from the other jar is poured into this jar, we get 2 litres which is 1/2 the total capacity. Answer=1/2=C

Equal amount of water were poured into two empty jars of different capacities, which made one jar 1/4 full and other jar 1/3 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?

A. 1/7 B. 2/7 C. 1/2 D. 7/12 E. 2/3

Let’s say that one jar has a capacity of 16 liters and the other, 12 liters. So, when equal parts water are poured into each jar, one jar has 4 liters and the other has 4 liters. When the contents of the small jar (4 liters from the 12-liter jar) are poured into the larger jar (4 litters in the 16-liter jar), the larger jar is now 8/16 = 1/2 full.

Alternate Solution:

Consider only the larger jar. When the first amount of water is poured into it, the jar becomes ¼ full. Now, a second amount of water, which is actually equal to the first amount, is poured into the larger jar. This second amount of water is also equivalent to ¼ of the jar’s capacity. Thus, the jar is now ¼ + ¼ = ½ full.

Answer: C
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Jeffery Miller Head of GMAT Instruction

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