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Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X

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Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

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New post 04 Feb 2015, 08:54
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Jar X is 1/6 full of water. Jar Y, which has half the capacity of Jar X, is 1/2 full of water. If the contents of Jar X is poured into Jar Y, Jar Y will be filled to what fraction of its capacity?

A. 5/12
B. 2/3
C. 7/9
D. 5/6
E. 7/8


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Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

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New post 04 Feb 2015, 09:41
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Bunuel wrote:
Jar X is 1/6 full of water. Jar Y, which has half the capacity of Jar X, is 1/2 full of water. If the contents of Jar X is poured into Jar Y, Jar Y will be filled to what fraction of its capacity?

A. 5/12
B. 2/3
C. 7/9
D. 5/6
E. 7/8


Kudos for a correct solution.


jar Y is half the capacity of Jar X.. so 1/2 of jar Y=1/4 of Jar X..
when contents of jar Y are poured into Jar X, which is already 1/6 full, the jar X is filled upto 1/4+1/6=5/12..
just realized, the contents are being poured in Y....
so jar Y is half the capacity of Jar X.. so 1/3 of jar Y=1/6 of Jar X..
when contents of jar X are poured into Jar Y, which is already 1/2 full, the jar X is filled upto 1/2+1/3=5/6.. ans D
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Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

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New post 04 Feb 2015, 11:17
2
my thought was:

let 12 be jar X capacity and 6 (half of that) be jar Y capacity.

since jar X is 1/6 filled = 2

jar Y is half filled = 3

if we pour from jar X to jar Y we gaet it will be filled 5/6 of its capacity. answer D for me.
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Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

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New post 04 Feb 2015, 13:44
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Bunuel wrote:
Jar X is 1/6 full of water. Jar Y, which has half the capacity of Jar X, is 1/2 full of water. If the contents of Jar X is poured into Jar Y, Jar Y will be filled to what fraction of its capacity?

A. 5/12
B. 2/3
C. 7/9
D. 5/6
E. 7/8


Kudos for a correct solution.


I think that the fastest way to solve this problem might be to assign values (numbers) for Jar X and Jar Y. So we can let Jar X have a capacity of 6 litres and Jar Y (which has half the capacity of Jar X) have the capacity of 3 litres of water. Jar X is a 1/6 full - so it contains 1 litre of water and Jar Y is 1/2 full so it contains 1.5 litres of water. Therefore if the contents of Jar X are transferred to Jar Y, that means that Jar Y will now be (1 + 1.5) = 2.5 Litres full. Thus Jar Y would be filled till 2.5/3 litres of its capacity which is equivalent to (5/2)/3 = 5/6.

I think the answer is D!

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Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

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New post 04 Feb 2015, 19:00
kdatt1991 wrote:
Bunuel wrote:
Jar X is 1/6 full of water. Jar Y, which has half the capacity of Jar X, is 1/2 full of water. If the contents of Jar X is poured into Jar Y, Jar Y will be filled to what fraction of its capacity?

A. 5/12
B. 2/3
C. 7/9
D. 5/6
E. 7/8


Kudos for a correct solution.


I think that the fastest way to solve this problem might be to assign values (numbers) for Jar X and Jar Y. So we can let Jar X have a capacity of 6 litres and Jar Y (which has half the capacity of Jar X) have the capacity of 3 litres of water. Jar X is a 1/6 full - so it contains 1 litre of water and Jar Y is 1/2 full so it contains 1.5 litres of water. Therefore if the contents of Jar X are transferred to Jar Y, that means that Jar Y will now be (1 + 1.5) = 2.5 Litres full. Thus Jar Y would be filled till 2.5/3 litres of its capacity which is equivalent to (5/2)/3 = 5/6.

I think the answer is D!

Please consider giving me KUDOS if you felt this post was helpful! Thanks. :)


Hi kdatt,
you could have made it more easier and safer by taking values which dont get you decimals....
decimals can unknowingly lead to wrong ans while solving...
so value of X could have been 12, and Y,6....
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2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

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New post 04 Feb 2015, 19:40
Bunuel wrote:
Jar X is 1/6 full of water. Jar Y, which has half the capacity of Jar X, is 1/2 full of water. If the contents of Jar X is poured into Jar Y, Jar Y will be filled to what fraction of its capacity?

A. 5/12
B. 2/3
C. 7/9
D. 5/6
E. 7/8


Kudos for a correct solution.


Let Jar X capacity = 12 units
Let Jar Y capacity = 6 units

Jar X currently contains 2 units (12 multiplied by 1/6)
Jar Y currently contains 3 units (6 multiplied by 1/2)

pouring X into Y results in 2+3=5

5/6

Answer: D
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Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

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New post 05 Feb 2015, 22:17
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Answer = D = 5/6

Let the size of Jar X = 1, then size of Jar Y \(= \frac{1}{2}\)

Water in Jar X \(= \frac{1}{6}\)

Water in Jar Y \(= \frac{1}{2*2} = \frac{1}{4}\)

Jar X water added in Jar Y \(= \frac{1}{4} + \frac{1}{6} = \frac{5}{12}\)

Required fraction for Jar Y \(= \frac{\frac{5}{12}}{\frac{1}{2}} = \frac{5}{6}\)
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Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

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New post 09 Feb 2015, 05:22
Bunuel wrote:
Jar X is 1/6 full of water. Jar Y, which has half the capacity of Jar X, is 1/2 full of water. If the contents of Jar X is poured into Jar Y, Jar Y will be filled to what fraction of its capacity?

A. 5/12
B. 2/3
C. 7/9
D. 5/6
E. 7/8


Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:

Correct Answer: D

Plug in values for Jar X and Jar Y. To find a good number, multiply together the denominators of the two fractions in the problem; this will ensure that our calculations work nicely. If Jar X is 12 gallons, Jar Y would be 6 gallons. If Jar X is 1/6 full, it would contain 2 gallons of water. If Jar Y is 1/2 full, it would contain 3 gallons of water. Thus, when Jar X is poured into Jar Y, Jar Y would then have 5 gallons in it, which is 5/6 of its capacity, and the correct answer is (D).

To solve this problem algebraically, note that Jar X is 1/6 full, and Jar Y is 1/2 full. Because Jar Y is half as large as Jar X, Jar X is twice as large as Jar Y, so X = 2Y. 1/6 X must then equal 1/3 Y. Pouring Jar X into Jar Y means adding 1/3 Y (Jar X) to 1/2 Y (Jar Y), for a total of 5/6 Y.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

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New post 26 Feb 2018, 11:17
Bunuel wrote:
Jar X is 1/6 full of water. Jar Y, which has half the capacity of Jar X, is 1/2 full of water. If the contents of Jar X is poured into Jar Y, Jar Y will be filled to what fraction of its capacity?

A. 5/12
B. 2/3
C. 7/9
D. 5/6
E. 7/8



We can let the capacity of Jar X = 12 and the the capacity of jar Y = 6.

So Jar X has 2 and Jar Y has 3.

If all of Jar X is poured into Jar Y, then Jar Y will be filled to 5/6 of capacity.

Answer: D
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Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

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New post 08 Mar 2018, 20:00
Assign a smart number for this problem. Let assign 12 ml of water to X and 6 ml of water to Y. So X is having 2 ml and Y is having 3 ml. if the contents of Jar X is poured into Jar Y,then jar Y is having total 3+2 i.e 5 ml of water which is 5/6 of it capacity.

Answer should be D.
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Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X &nbs [#permalink] 08 Mar 2018, 20:00
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