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

It is currently 21 Jan 2019, 16:11

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
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

     January 21, 2019

     January 21, 2019

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.

A bartender mixes drink A with drink B. If drink A contains 24 percent

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52344
A bartender mixes drink A with drink B. If drink A contains 24 percent  [#permalink]

Show Tags

New post 07 Jan 2015, 06:34
3
3
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

78% (00:54) correct 22% (01:11) wrong based on 309 sessions

HideShow timer Statistics

Tough and Tricky questions: Mixture Problems.



A bartender mixes drink A with drink B. If drink A contains 24 percent alcohol, what percentage of the mixture of drink A and B is alcohol?

(1) The ratio of drink A and drink B is 1:4
(2) The alcohol concentration of drink B is 1.5 times greater than the alcohol concentration of drink A.

Kudos for a correct solution.

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Current Student
User avatar
P
Status: It always seems impossible until it's done!!
Joined: 29 Aug 2012
Posts: 1118
Location: India
WE: General Management (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: A bartender mixes drink A with drink B. If drink A contains 24 percent  [#permalink]

Show Tags

New post 07 Jan 2015, 06:43
1
Bunuel wrote:

Tough and Tricky questions: Mixture Problems.



A bartender mixes drink A with drink B. If drink A contains 24 percent alcohol, what percentage of the mixture of drink A and B is alcohol?

(1) The ratio of drink A and drink B is 1:4
(2) The alcohol concentration of drink B is 1.5 times greater than the alcohol concentration of drink A.

Kudos for a correct solution.


Statement-1 : If Ratio is 1:4. Then we have total of 5 parts in the mixture. Then 1/5th of the mixture is A and 4/5 of mixture is B. No other information. SO Insufficient.

Statement-2 : B= 1.5 times of A in the concentration of alcohol. We can get the value by multiplying 1.5 with 0.24. But still this statement alone not sufficient to solve.

Combining.

We know the alcohol concentration of A from the question and alcohol concentration of B from Statement-2. And we know how many A and B are present in the mixture from Statement A. So we can find the alcohol percentage in the mixture.

So answer is C.

And I hope it is correct. Bunuel please post your version of explanation :).
_________________

Become a GMAT Club Premium member to avail lot of discounts

Manager
Manager
avatar
Joined: 21 Aug 2010
Posts: 174
Location: United States
GMAT 1: 700 Q49 V35
GMAT ToolKit User
Re: A bartender mixes drink A with drink B. If drink A contains 24 percent  [#permalink]

Show Tags

New post 07 Jan 2015, 10:42
1
Bunuel wrote:

Tough and Tricky questions: Mixture Problems.



A bartender mixes drink A with drink B. If drink A contains 24 percent alcohol, what percentage of the mixture of drink A and B is alcohol?

(1) The ratio of drink A and drink B is 1:4
(2) The alcohol concentration of drink B is 1.5 times greater than the alcohol concentration of drink A.

Kudos for a correct solution.


(1) We know the ratio of the drink mixture but we dont know the alcohol content of Drink B - Insuff
(2) We can find the amount of alcohol in Drink B but we don't Know the mixture ratio = Insuff

Combining both we can find all the unknowns

Ans C
_________________

-------------------------------------

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52344
A bartender mixes drink A with drink B. If drink A contains 24 percent  [#permalink]

Show Tags

New post 09 Jan 2015, 05:26
Bunuel wrote:

Tough and Tricky questions: Mixture Problems.



A bartender mixes drink A with drink B. If drink A contains 24 percent alcohol, what percentage of the mixture of drink A and B is alcohol?

(1) The ratio of drink A and drink B is 1:4
(2) The alcohol concentration of drink B is 1.5 times greater than the alcohol concentration of drink A.

Kudos for a correct solution.


OFFICIAL SOLUTION:

Statement (1) gives us the quantity of each of the drinks in the new cocktail. Statement (2) gives us the connection between the alcohol concentration of Drink B and the mixed cocktail. To solve this question, try using the statements and see what happens.

Let us use the statement (1) by itself. If the ratio of A to B is 1:4, then there is one part A to 4 parts B. This means if there are five parts total, one part is A and 4 parts are B, or 1/5 is A and 4/5 is B. A = .2 and B = .8. This information doesn’t tell us enough to solve the question because we don’t know the alcohol concentration of drink B. Statement (1) is not sufficient (meaning choices A and D can be ruled out).

Let us use the statement (2) by itself. It tells us the concentration in drink B. It is 1.5 times greater than drink A. The concentration is drink A is 24%, therefore the concentration in drink B = .24 × 1.5 = .36 (36%) alcohol. This information doesn’t tell us enough to solve the question because we don’t know the quantity of each drink in the new cocktail. Statement (2) is not sufficient (meaning choice B can be ruled out).

If we use the both statements together, we can set up an equation for this, using the following amounts:
Suppose the new mixture is 1. Then Alcohol in Drink A = .24 × .2, Alcohol in Drink B = .36 × .8. We can get the percentage of alcohol in the new mixture: (.048 + .288) / 1 = .336 (33.6%).

Since we required both statements to answer this question, the correct answer is (C).
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
Joined: 01 May 2013
Posts: 61
Re: A bartender mixes drink A with drink B. If drink A contains 24 percent  [#permalink]

Show Tags

New post 09 Jan 2015, 19:17
1
To answer, we must know the percentage alcohol in B as well as the ratio of A/B in the drink.

(1) Tells us the ratio, but not the % by vol. of alcohol. NOT sufficient.

Strike A/D.

(2) Gives us enough info to figure out the % by vol. in B, but we don't know the requisite ratio. NOT sufficient.

Strike B.

(1/2) We know both pieces of information necessary to solve the problem if need be.

The answer is C.
Manager
Manager
avatar
Status: Applied
Joined: 02 May 2014
Posts: 133
Location: India
Concentration: Operations, General Management
GMAT 1: 690 Q47 V38
GPA: 3.35
WE: Information Technology (Computer Software)
Re: A bartender mixes drink A with drink B. If drink A contains 24 percent  [#permalink]

Show Tags

New post 12 Mar 2015, 22:58
from 2) find the alcohol percentage of second drink and from 1) we get the total mixture and after that we can find the total strength of alcohol of the mixture. hence C.
Senior Manager
Senior Manager
avatar
Joined: 05 Nov 2012
Posts: 443
Concentration: Technology, Other
GMAT ToolKit User Premium Member Reviews Badge
Re: A bartender mixes drink A with drink B. If drink A contains 24 percent  [#permalink]

Show Tags

New post 06 Jun 2015, 05:37
I got confused by marked line
(2) The alcohol concentration of drink B is 1.5 times greater than the alcohol concentration of drink A

http://english.stackexchange.com/questi ... -than?rq=1
Both the usage conveys same meaning.
Jack has 3 times as many sweets as John.
Jack has 3 times more sweets than John.

If John has 5 sweets then john will have 15.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9463
Premium Member
Re: A bartender mixes drink A with drink B. If drink A contains 24 percent  [#permalink]

Show Tags

New post 22 Dec 2018, 15:31
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: A bartender mixes drink A with drink B. If drink A contains 24 percent &nbs [#permalink] 22 Dec 2018, 15:31
Display posts from previous: Sort by

A bartender mixes drink A with drink B. If drink A contains 24 percent

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


Copyright

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

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®.