GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Oct 2019, 20:11

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58427
Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

Show Tags

New post 04 Feb 2015, 08:54
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (01:25) correct 27% (01:43) wrong based on 199 sessions

HideShow timer Statistics

Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8011
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

Show Tags

New post 04 Feb 2015, 09:41
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
Intern
avatar
Joined: 07 Nov 2013
Posts: 25
Location: Brazil
Concentration: Strategy, Finance
GMAT 1: 580 Q44 V27
WE: Corporate Finance (Retail)
GMAT ToolKit User
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

Show Tags

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

Show Tags

New post 04 Feb 2015, 13:44
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
avatar
V
Joined: 02 Aug 2009
Posts: 8011
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

Show Tags

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....
_________________
Senior Manager
Senior Manager
User avatar
B
Joined: 28 Feb 2014
Posts: 291
Location: United States
Concentration: Strategy, General Management
Reviews Badge
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

Show Tags

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
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1747
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

New post 05 Feb 2015, 22:17
1
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 \(= \frac{\frac{5}{12}}{\frac{1}{2}} = \frac{5}{6}\)
_________________
Kindly press "+1 Kudos" to appreciate :)
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58427
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

Show Tags

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.
_________________
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

Show Tags

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
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 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
Intern
avatar
B
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

New post 08 Mar 2018, 20:00
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.

Answer should be D.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13412
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X  [#permalink]

Show Tags

New post 27 May 2019, 02:47
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.
_________________
GMAT Club Bot
Re: Jar X is 16 full of water. Jar Y, which has half the capacity of Jar X   [#permalink] 27 May 2019, 02:47
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne