GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 06 Apr 2020, 08:09

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 62542
Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

### Show Tags

04 Feb 2015, 07:54
00:00

Difficulty:

25% (medium)

Question Stats:

73% (01:24) correct 27% (01:40) wrong based on 213 sessions

### HideShow timer Statistics

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.

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 8311
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

### Show Tags

04 Feb 2015, 08:41
1
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
_________________
Intern
Joined: 07 Nov 2013
Posts: 25
Location: Brazil
Concentration: Strategy, Finance
GMAT 1: 580 Q44 V27
WE: Corporate Finance (Retail)
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

### Show Tags

04 Feb 2015, 10:17
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.
Intern
Joined: 19 Sep 2014
Posts: 21
Concentration: Finance, Economics
GMAT Date: 05-05-2015
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

### Show Tags

04 Feb 2015, 12:44
2
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.
Math Expert
Joined: 02 Aug 2009
Posts: 8311
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

### Show Tags

04 Feb 2015, 18:00
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....
_________________
Senior Manager
Joined: 28 Feb 2014
Posts: 288
Location: United States
Concentration: Strategy, General Management
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

### Show Tags

04 Feb 2015, 18:40
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

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1713
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

### Show Tags

05 Feb 2015, 21:17
1

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 $$= \frac{\frac{5}{12}}{\frac{1}{2}} = \frac{5}{6}$$
Math Expert
Joined: 02 Sep 2009
Posts: 62542
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

### Show Tags

09 Feb 2015, 04:22
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:

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.
_________________
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2801
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

### Show Tags

26 Feb 2018, 10:17
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.

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
197 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Joined: 14 Feb 2017
Posts: 5
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

### Show Tags

08 Mar 2018, 19:00
1
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.

Non-Human User
Joined: 09 Sep 2013
Posts: 14467
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

### Show Tags

27 May 2019, 01:47
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X   [#permalink] 27 May 2019, 01:47
Display posts from previous: Sort by