Find all School-related info fast with the new School-Specific MBA Forum

It is currently 23 Jul 2014, 10:16

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Vial V is 2/3 full of a certain solution and vial W, which

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Manager
Manager
User avatar
Joined: 28 May 2009
Posts: 155
Followers: 4

Kudos [?]: 81 [1] , given: 89

GMAT ToolKit User
Vial V is 2/3 full of a certain solution and vial W, which [#permalink] New post 08 Mar 2013, 10:16
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

63% (02:38) correct 37% (02:20) wrong based on 46 sessions
Vial V is \frac{2}{3} full of a certain solution and vial W, which has 50% more capacity than vial V, is \frac{3}{4} full of the same solution. If half of the solution in vial V is poured into vial W, vial W will be filled to what fraction of its capacity?

(A)\frac{27}{36}

(B)\frac{10}{11}

(C)\frac{11}{12}

(D)\frac{23}{24}

(E)\frac{35}{36}

I was able to solve it in under 2 mins, but curious to know if there is a 10-sec approach?
[Reveal] Spoiler: OA

_________________

New to GMAT Club? Start here

Kindle Flashcards - Quant (Official Gmat Club, miguemick's Quant topics), and Verbal (Official Gmat Club) - in Kindle (azw3) format

1 KUDOS received
Manager
Manager
User avatar
Joined: 24 Sep 2012
Posts: 90
Location: United States
Concentration: Entrepreneurship, International Business
GMAT 1: 730 Q50 V39
GPA: 3.2
WE: Education (Education)
Followers: 3

Kudos [?]: 63 [1] , given: 3

Re: Vial V is 2/3 full of a certain solution and vial W, which [#permalink] New post 08 Mar 2013, 12:32
1
This post received
KUDOS
Hello,

Let me try helping you with this one.

It is mentioned in the question that the volume of W is 50% larger than the volume of V. Hence, W=\frac{3}{2}*V
This implies that V=\frac{2}{3}*W
Now, V is filled with 2/3 with the solution and W is filled 3/4 with the solution.
Half of the solution in V is filled into W. We need to find the fraction of W that is filled. So, we have to express everything in terms of W.

Half of the solution in V in terms of W is 1/3. When we express that in terms of W, it becomes

half the volume of solution in V=\frac{1}{3}*\frac{2}{3}*W
This is added to 3/4 of the volume W.
The total volume is (\frac{1}{3}*\frac{2}{3}*W)+(\frac{3}{4}*W)=\frac{35}{36}*W

Hence, the answer is E.

Hope this helps! Let me know if I could help you any further.

megafan wrote:
Vial V is \frac{2}{3} full of a certain solution and vial W, which has 50% more capacity than vial V, is \frac{3}{4} full of the same solution. If half of the solution in vial V is poured into vial W, vial W will be filled to what fraction of its capacity?

(A)\frac{27}{36}

(B)\frac{10}{11}

(C)\frac{11}{12}

(D)\frac{23}{24}

(E)\frac{35}{36}

I was able to solve it in under 2 mins, but curious to know if there is a 10-sec approach?

_________________

Thanks
Kris
Instructor at Aspire4GMAT

Visit us at http://www.aspire4gmat.com

Post your queries
Join our free GMAT course

New blog: How to get that 700+
New blog: Data Sufficiency Tricks


Press Kudos if this helps!

1 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 23 Oct 2010
Posts: 383
Location: Azerbaijan
Concentration: Finance
GMAT 1: 690 Q47 V38
Followers: 11

Kudos [?]: 121 [1] , given: 72

GMAT ToolKit User
Re: Vial V is 2/3 full of a certain solution and vial W, which [#permalink] New post 09 Mar 2013, 01:24
1
This post received
KUDOS
let the capacity of V = 6, then the capacity of W = 6+0.5*6=9

the amount of solution in V = (2/3)*6=4 and the half of it is 2 (4/2 :) )
the amount of solution in W = (3/4)*9=27/4

(half of solution in V + the amount of solution in W )/ capacity of W = (2+27/4)/9 =35/36

_________________

Happy are those who dream dreams and are ready to pay the price to make them come true

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18703
Followers: 3236

Kudos [?]: 22271 [0], given: 2610

Re: Vial V is 2/3 full of a certain solution and vial W, which [#permalink] New post 09 Mar 2013, 03:21
Expert's post
megafan wrote:
Vial V is \frac{2}{3} full of a certain solution and vial W, which has 50% more capacity than vial V, is \frac{3}{4} full of the same solution. If half of the solution in vial V is poured into vial W, vial W will be filled to what fraction of its capacity?

(A)\frac{27}{36}

(B)\frac{10}{11}

(C)\frac{11}{12}

(D)\frac{23}{24}

(E)\frac{35}{36}

I was able to solve it in under 2 mins, but curious to know if there is a 10-sec approach?


Similar questions to practice:
equal-amount-of-water-were-poured-into-two-empty-jars-of-98962.html
a-glucose-solution-contains-15-grams-of-glucose-per-140243.html
two-equally-sized-jugs-full-of-water-are-each-emptied-into-t-143944.html

Hope it helps.

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 17 May 2013
Posts: 49
GMAT Date: 10-23-2013
Followers: 0

Kudos [?]: 3 [0], given: 8

Re: Vial V is 2/3 full of a certain solution and vial W, which [#permalink] New post 12 Aug 2013, 05:47
Let capacity be denoted by "C"

V = C ===> currently filled = 2/3 C
Given : Capacity of W is 50% more than V

W = C + 0.5 C = 1.5 C ===> currently filled = 3/4(1.5C)

half of contents of V ==> 2/3C * 1/2 = 2/6C are then poured in W
Required to calculate the fraction to which W will be filled after half of contents of V are filled in W
2/6C +3/4(1.5C)/1.5C
Solving, we get
35/36

Ans:E
Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 344
Followers: 3

Kudos [?]: 94 [0], given: 102

Re: Vial V is 2/3 full of a certain solution and vial W, which [#permalink] New post 12 Aug 2013, 09:20
megafan wrote:
Vial V is \frac{2}{3} full of a certain solution and vial W, which has 50% more capacity than vial V, is \frac{3}{4} full of the same solution. If half of the solution in vial V is poured into vial W, vial W will be filled to what fraction of its capacity?

(A)\frac{27}{36}

(B)\frac{10}{11}

(C)\frac{11}{12}

(D)\frac{23}{24}

(E)\frac{35}{36}

I was able to solve it in under 2 mins, but curious to know if there is a 10-sec approach?


...........
just 30 seconds to solve with this techniques:

Attachments

volume and ratio own.png
volume and ratio own.png [ 33.83 KiB | Viewed 364 times ]


_________________

Asif vai.....

Re: Vial V is 2/3 full of a certain solution and vial W, which   [#permalink] 12 Aug 2013, 09:20
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic A pool which was 2/3 full to begin with, was filled at a macjas 8 02 Jun 2012, 22:51
1 A certain encyclopedia has 20 volumes, each of which is w Jasontuyj2012 5 06 Aug 2011, 04:08
A pool which was 2/3 full to begin with, was abohassan 1 07 Nov 2008, 05:47
Find integer W. (1) W is a prime solution of (|W|)!=|W| (2) yezz 7 06 Sep 2006, 02:25
Bottle X is 2/3 full of water, which is half the capacity of briozeal 1 25 Jun 2006, 16:18
Display posts from previous: Sort by

Vial V is 2/3 full of a certain solution and vial W, which

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.