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

It is currently 22 Sep 2018, 20:21

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

The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market

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

Hide Tags

Manager
Manager
User avatar
S
Status: Math Tutor
Joined: 12 Aug 2017
Posts: 74
GMAT 1: 750 Q50 V42
WE: Education (Education)
The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market  [#permalink]

Show Tags

New post 18 Aug 2017, 03:03
1
2
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (02:03) correct 37% (02:02) wrong based on 100 sessions

HideShow timer Statistics

The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market research study. The study found that \(\frac{2}{5}\) of consumers preferred Zing cola to Diet Zing Cola. Of those who preferred Diet Zing, \(\frac{1}{6}\) preferred Caffeine free Diet Zing. How many consumers, in terms of 'k' , did not prefer Caffeine free Diet Zing?

A. \(\frac{k}{11}\)
B. \(\frac{k}{10}\)
C. \(\frac{7k}{15}\)
D. \(\frac{9k}{10}\)
E. \(\frac{10k}{11}\)

_________________

Abhishek Parikh
Math Tutor
Whatsapp- +919983944321
Mobile- +971568653827
Website: http://www.holamaven.com

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6800
The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market  [#permalink]

Show Tags

New post 18 Aug 2017, 03:18
1
1
HolaMaven wrote:
The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market research study. The study found that \(\frac{2}{5}\) of consumers preferred Zing cola to Diet Zing Cola. Of those who preferred Diet Zing, \(\frac{1}{6}\) preferred Caffeine free Diet Zing. How many consumers, in terms of 'k' , did not prefer Caffeine free Diet Zing?

A. \(\frac{k}{11}\)
B. \(\frac{k}{10}\)
C. \(\frac{7k}{15}\)
D. \(\frac{9k}{10}\)
E. \(\frac{10k}{11}\)



Hi...

Two ways..

1) proper method..
Let's find how many prefer..
1/6 of free diet... Free diet- how many?? 1-2/5 = 3/5 of 'k'..
So 1/6 of 3/5 of k= \(\frac{1}{6}*\frac{3}{5}*k=\frac{k}{10}\)
Total who do not prefer =k- k/10=9k/10
D

2) give a value to K..
Let k =10..
3/5 of 10 or 6 prefer diet..
1/6 of these prefer free diet =6*1/6=1..
So who do not prefer=10-1=9..

Substitute k as 10 and find which matches.
D =9k/10=9*10/10=9
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Manager
Manager
User avatar
G
Joined: 27 Dec 2016
Posts: 235
Concentration: Marketing, Social Entrepreneurship
GPA: 3.65
WE: Marketing (Education)
Premium Member Reviews Badge
The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market  [#permalink]

Show Tags

New post 18 Aug 2017, 04:32
1. \(\frac{2}{5}\) preferred Zing Cola to Diet Zing Cola, thus those who prefer Diet Zing is \(\frac{3}{5}\).
2. From this \(\frac{3}{5}\), \(\frac{1}{6}\) prefer caffeine free. Thus, compared with K, this would be \(\frac{3}{5}\) * \(\frac{1}{6}\), which is \(\frac{1}{10}\)
3. Asked : what ratio of people who don't like the caffeine? 1 - \(\frac{1}{10}\) : \(\frac{9}{10}\)
Is it true 600-700 question? Or do I miss something?
_________________

There's an app for that - Steve Jobs.

Manager
Manager
User avatar
S
Status: Math Tutor
Joined: 12 Aug 2017
Posts: 74
GMAT 1: 750 Q50 V42
WE: Education (Education)
Re: The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market  [#permalink]

Show Tags

New post 18 Aug 2017, 04:45
septwibowo wrote:
1. \(\frac{2}{5}\) preferred Zing Cola to Diet Zing Cola, thus those who prefer Diet Zing is \(\frac{3}{5}\).
2. From this \(\frac{3}{5}\), \(\frac{1}{6}\) prefer caffeine free. Thus, compared with K, this would be \(\frac{3}{5}\) * \(\frac{1}{6}\), which is \(\frac{1}{10}\)
3. Asked : what ratio of people who don't like the caffeine? 1 - \(\frac{1}{10}\) : \(\frac{9}{10}\)
Is it true 600-700 question? Or do I miss something?





It is not asking to find the ratio. It is asking to find the fraction of people who dont like caffeine so answer is only \(\frac{9k}{10}\)
_________________

Abhishek Parikh
Math Tutor
Whatsapp- +919983944321
Mobile- +971568653827
Website: http://www.holamaven.com

Manager
Manager
User avatar
G
Joined: 27 Dec 2016
Posts: 235
Concentration: Marketing, Social Entrepreneurship
GPA: 3.65
WE: Marketing (Education)
Premium Member Reviews Badge
Re: The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market  [#permalink]

Show Tags

New post 18 Aug 2017, 04:48
1
HolaMaven wrote:
septwibowo wrote:
1. \(\frac{2}{5}\) preferred Zing Cola to Diet Zing Cola, thus those who prefer Diet Zing is \(\frac{3}{5}\).
2. From this \(\frac{3}{5}\), \(\frac{1}{6}\) prefer caffeine free. Thus, compared with K, this would be \(\frac{3}{5}\) * \(\frac{1}{6}\), which is \(\frac{1}{10}\)
3. Asked : what ratio of people who don't like the caffeine? 1 - \(\frac{1}{10}\) : \(\frac{9}{10}\)
Is it true 600-700 question? Or do I miss something?





It is not asking to find the ratio. It is asking to find the fraction of people who dont like caffeine so answer is only \(\frac{9k}{10}\)


Ah sure! thanks!
So, all we have to do is to add this ration with the number of respondents : \(\frac{9}{10}\) * k, which is \(\frac{9k}{10}\).
_________________

There's an app for that - Steve Jobs.

Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8288
Location: Pune, India
Re: The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market  [#permalink]

Show Tags

New post 18 Aug 2017, 05:08
1
HolaMaven wrote:
The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market research study. The study found that \(\frac{2}{5}\) of consumers preferred Zing cola to Diet Zing Cola. Of those who preferred Diet Zing, \(\frac{1}{6}\) preferred Caffeine free Diet Zing. How many consumers, in terms of 'k' , did not prefer Caffeine free Diet Zing?

A. \(\frac{k}{11}\)
B. \(\frac{k}{10}\)
C. \(\frac{7k}{15}\)
D. \(\frac{9k}{10}\)
E. \(\frac{10k}{11}\)



One can also assume a value for k and then do it. Say k = 30

Since 2/5th preferred Zing, 3/5th preferred Diet Zing. So 18 preferred it.
Of these 18, 1/6th preferred Caffeine Diet Zing so 3 preferred it. This means 27 did not.

Put k = 30. Whichever option gives 27, is the answer.

Answer (D)
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

GMAT self-study has never been more personalized or more fun. Try ORION Free!

Director
Director
User avatar
P
Joined: 27 May 2012
Posts: 575
Premium Member
Re: The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market  [#permalink]

Show Tags

New post 03 Nov 2017, 21:15
VeritasPrepKarishma wrote:
HolaMaven wrote:
The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market research study. The study found that \(\frac{2}{5}\) of consumers preferred Zing cola to Diet Zing Cola. Of those who preferred Diet Zing, \(\frac{1}{6}\) preferred Caffeine free Diet Zing. How many consumers, in terms of 'k' , did not prefer Caffeine free Diet Zing?

A. \(\frac{k}{11}\)
B. \(\frac{k}{10}\)
C. \(\frac{7k}{15}\)
D. \(\frac{9k}{10}\)
E. \(\frac{10k}{11}\)



One can also assume a value for k and then do it. Say k = 30

Since 2/5th preferred Zing, 3/5th preferred Diet Zing. So 18 preferred it.
Of these 18, 1/6th preferred Caffeine Diet Zing so 3 preferred it. This means 27 did not.


Put k = 30. Whichever option gives 27, is the answer.

Answer (D)


Hi Karishma,

1/6 of 3/5 preferred Caffeine diet zing hence I thought 5/6 of 3/5 did not prefer caffeine diet
But 5/6 of 3/5 (K) = K/2

why am I not getting 9K/10
_________________

- Stne

GMAT Club Bot
Re: The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market &nbs [#permalink] 03 Nov 2017, 21:15
Display posts from previous: Sort by

The ‘Amazing Soft Drink’ company interviewed 'k' consumers for market

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

Events & Promotions

PREV
NEXT


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®.