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

 It is currently 24 May 2019, 14:07

### 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

# Solution A is made up of alcohol and water mixed in the ratio of 21:4

Author Message
Manager
Joined: 17 May 2015
Posts: 249
Solution A is made up of alcohol and water mixed in the ratio of 21:4  [#permalink]

### Show Tags

26 Jul 2017, 05:19
3
00:00

Difficulty:

65% (hard)

Question Stats:

50% (02:42) correct 50% (02:27) wrong based on 14 sessions

### HideShow timer Statistics

Solution A is made up of alcohol and water mixed in the ratio of 21:4 by volume; Solution B is made up of alcohol and water mixed in the ratio of 2:3 by volume. If Solution A and Solution B are mixed in the ratio of 5:6 by volume, what percent of the resultant mixture is alcohol?

(A) 32.5%
(B) 40%
(C) 60%
(D) 65%
(E) Cannot be determined

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3386
Location: India
GPA: 3.12
Re: Solution A is made up of alcohol and water mixed in the ratio of 21:4  [#permalink]

### Show Tags

26 Jul 2017, 05:42
1
Assume that both
Solution A & Solution B have 100 units

Since the ratio in solution A is 21:4, there will be 84 units of Alcohol, to 16 units of Water.
Similarly, solution B will have ratio 2:3(40 units Alcohol:60 units water)

Since the solutions are to mixed in the ratio 5:6(we are adding 500 units of Solution A and 600 units of Solution B)

Total concentration of Alcohol : $$\frac{84*5 + 40*6}{100*5 + 100*6} = \frac{420+240}{1100} = \frac{660}{1100} = 60%$$(Option C)
_________________
You've got what it takes, but it will take everything you've got
Intern
Joined: 24 Sep 2016
Posts: 17
Re: Solution A is made up of alcohol and water mixed in the ratio of 21:4  [#permalink]

### Show Tags

26 Jul 2017, 07:15
Ans :C
Alcohol in Soln A =21/25
Alcohol in Soln B =2/5
Mixed in ratio of 5/11 and 6/11 respectively
=(21/25)*(5/11)+(2/5)*(6/11)
=3/5=60%

Sent from my Mi 4i using GMAT Club Forum mobile app
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2873
Re: Solution A is made up of alcohol and water mixed in the ratio of 21:4  [#permalink]

### Show Tags

26 Jul 2017, 08:26
ganand wrote:
Solution A is made up of alcohol and water mixed in the ratio of 21:4 by volume; Solution B is made up of alcohol and water mixed in the ratio of 2:3 by volume. If Solution A and Solution B are mixed in the ratio of 5:6 by volume, what percent of the resultant mixture is alcohol?

(A) 32.5%
(B) 40%
(C) 60%
(D) 65%
(E) Cannot be determined

Solution

• Since the question asks us to find the percent of alcohol in the mixture. It would be best if we convert everything in percentage and then solve it quickly.
• If we take Alcohol, then
o Percentage of Alcohol in Solution A $$= 21*\frac{100}{25} = 84$$%

o Percentage of Alcohol in Solution B $$= 2*\frac{100}{5} = 40$$%

• Since the ratio of Solution A: Solution B $$= 5: 6$$
• The Percentage of Alcohol in the mixture $$= \frac{(5 * 84 + 6 * 40)}{(5+6)}$$
$$= \frac{660}{11}$$%
$$= 60$$%

Thus, the correct answer is Option C.

Thanks,
Saquib
Quant Expert
e-GMAT

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 11013
Re: Solution A is made up of alcohol and water mixed in the ratio of 21:4  [#permalink]

### Show Tags

06 Apr 2019, 11:30
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: Solution A is made up of alcohol and water mixed in the ratio of 21:4   [#permalink] 06 Apr 2019, 11:30
Display posts from previous: Sort by