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

 It is currently 17 Oct 2019, 08:36

### 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

# Equal amount of water were poured into two empty jars of

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

### Hide Tags

Intern
Joined: 04 Jul 2010
Posts: 16
Equal amount of water were poured into two empty jars of  [#permalink]

### Show Tags

Updated on: 24 Jun 2013, 03:58
3
23
00:00

Difficulty:

25% (medium)

Question Stats:

70% (01:25) correct 30% (01:33) wrong based on 989 sessions

### HideShow timer Statistics

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

Originally posted by leafsrule99 on 11 Aug 2010, 14:17.
Last edited by Bunuel on 24 Jun 2013, 03:58, edited 3 times in total.
Edited the question and added the OA
Math Expert
Joined: 02 Sep 2009
Posts: 58401
Re: More Prep questions  [#permalink]

### Show Tags

11 Aug 2010, 17:21
9
7
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.

_________________
Manager
Joined: 26 Apr 2011
Posts: 201
Re: Equal amounts of water were poured into two empty jars of  [#permalink]

### Show Tags

07 Dec 2011, 00:12
7
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
##### General Discussion
Senior Manager
Joined: 21 Mar 2010
Posts: 262
Re: More Prep questions  [#permalink]

### Show Tags

10 Feb 2011, 20:15
2
1/2 seems straight forward. If x amount of water fills up the jar upto 1/4th of its capacity, 2x will fill up 1/2.
Retired Moderator
Joined: 16 Nov 2010
Posts: 1253
Location: United States (IN)
Concentration: Strategy, Technology
Re: More Prep questions  [#permalink]

### Show Tags

11 Feb 2011, 07:14
2
My take on this (although Mavens like Bunuel can always expound in 2 lines)

Let v be the volume of water added to both :

v = x/4

v = y/3

x = 4v (total capacity of larger jar)

y = 3v (total capacity of smaller jar)

So v is added again to larger jar, hence total water = v+v
2v
--- = 1/2
4v
_________________
Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings
Senior Manager
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 422
Re: Equal amounts of water were poured into two empty jars of  [#permalink]

### Show Tags

04 Dec 2011, 11:29
2
1
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
_________________
Manager
Joined: 26 Feb 2012
Posts: 88
Location: India
Concentration: General Management, Finance
WE: Engineering (Telecommunications)
Re: Equal amount of water were poured into two empty jars of  [#permalink]

### Show Tags

04 May 2013, 05:52
Hi Experts
Why below answer is wrong.....

Let the capacity of both jug X(small) & Y(big)
After pouring water... capacity of water both jug x/4 and y/3... as given x/4=y/3 so x=4y/3

now given smaller jug water poured into bigger made the equ- x/4+y/3=>3x+4y/12..putting x=4y/3...we got 2y/3 which mean 2/3 rd of y

Rgds
Prasannajeet
Math Expert
Joined: 02 Sep 2009
Posts: 58401
Re: Equal amount of water were poured into two empty jars of  [#permalink]

### Show Tags

04 May 2013, 06:58
prasannajeet wrote:
Hi Experts
Why below answer is wrong.....

Let the capacity of both jug X(small) & Y(big)
After pouring water... capacity of water both jug x/4 and y/3... as given x/4=y/3 so x=4y/3

now given smaller jug water poured into bigger made the equ- x/4+y/3=>3x+4y/12..putting x=4y/3...we got 2y/3 which mean 2/3 rd of y

Rgds
Prasannajeet

x/4=y/3, thus x is larger jar and y is smaller jar.
_________________
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1749
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Equal amount of water were poured into two empty jars of  [#permalink]

### Show Tags

01 Dec 2014, 01:01
First determine which is the big one?

$$\frac{1}{4} th$$ is the big container as equal quantities of water poured made it "less full"

Same quantity of water added twice, so multiply by 2

$$2 * \frac{1}{4} = \frac{1}{2}$$

_________________
Kindly press "+1 Kudos" to appreciate
Senior Manager
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 402
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Re: Equal amount of water were poured into two empty jars of  [#permalink]

### Show Tags

04 Jan 2015, 07:41
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!
Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2816
Re: Equal amount of water were poured into two empty jars of  [#permalink]

### Show Tags

05 Jan 2018, 10:05
leafsrule99 wrote:
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.

_________________

# Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
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.

Non-Human User
Joined: 09 Sep 2013
Posts: 13242
Re: Equal amounts of water were poured into the two empty jars  [#permalink]

### Show Tags

10 Oct 2019, 04:14
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: Equal amounts of water were poured into the two empty jars   [#permalink] 10 Oct 2019, 04:14
Display posts from previous: Sort by

# Equal amount of water were poured into two empty jars of

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

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