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

 It is currently 20 Sep 2018, 23:06

### 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

# Vial V is 2/3 full of a certain solution and vial W, which has 50%

Author Message
TAGS:

### Hide Tags

Manager
Joined: 28 May 2009
Posts: 151
Location: United States
Concentration: Strategy, General Management
GMAT Date: 03-22-2013
GPA: 3.57
WE: Information Technology (Consulting)
Vial V is 2/3 full of a certain solution and vial W, which has 50%  [#permalink]

### Show Tags

08 Mar 2013, 11:16
2
4
00:00

Difficulty:

35% (medium)

Question Stats:

76% (02:02) correct 24% (02:21) wrong based on 170 sessions

### HideShow timer Statistics

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?

_________________
Manager
Joined: 24 Sep 2012
Posts: 85
Location: United States
GMAT 1: 730 Q50 V39
GPA: 3.2
WE: Education (Education)
Re: Vial V is 2/3 full of a certain solution and vial W, which has 50%  [#permalink]

### Show Tags

08 Mar 2013, 13:32
1
2
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

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?
Senior Manager
Joined: 23 Oct 2010
Posts: 358
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
Re: Vial V is 2/3 full of a certain solution and vial W, which has 50%  [#permalink]

### Show Tags

09 Mar 2013, 02:24
3
1
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

I am still on all gmat forums. msg me if you want to ask me smth

Math Expert
Joined: 02 Sep 2009
Posts: 49275
Re: Vial V is 2/3 full of a certain solution and vial W, which has 50%  [#permalink]

### Show Tags

09 Mar 2013, 04:21
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.
_________________
Intern
Joined: 17 May 2013
Posts: 41
GMAT Date: 10-23-2013
Re: Vial V is 2/3 full of a certain solution and vial W, which has 50%  [#permalink]

### Show Tags

12 Aug 2013, 06:47
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
Joined: 10 Jul 2013
Posts: 315
Re: Vial V is 2/3 full of a certain solution and vial W, which has 50%  [#permalink]

### Show Tags

12 Aug 2013, 10:20
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 [ 33.83 KiB | Viewed 2145 times ]

_________________

Asif vai.....

Board of Directors
Joined: 17 Jul 2014
Posts: 2686
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: Vial V is 2/3 full of a certain solution and vial W, which has 50%  [#permalink]

### Show Tags

26 Sep 2016, 06:57
i worked with 24 and 36, as it seemed easier to work with...
24*2/3 = 16.
36*3/4 = 27

16/2 = 8
8+27 = 35.
we have 35/36
Non-Human User
Joined: 09 Sep 2013
Posts: 8104
Re: Vial V is 2/3 full of a certain solution and vial W, which has 50%  [#permalink]

### Show Tags

25 Dec 2017, 21:04
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: Vial V is 2/3 full of a certain solution and vial W, which has 50% &nbs [#permalink] 25 Dec 2017, 21:04
Display posts from previous: Sort by

# Events & Promotions

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