Jun 16 09:00 PM PDT  10:00 PM PDT For a score of 4951 (from current actual score of 40+). AllInOne Standard & 700+ Level Questions (150 questions) Jun 18 09:00 PM EDT  10:00 PM EDT Strategies and techniques for approaching featured GMAT topics. Tuesday, June 18th at 9 pm ET Jun 18 10:00 PM PDT  11:00 PM PDT Send along your receipt from another course or book to info@empowergmat.com and EMPOWERgmat will give you 50% off the first month of access OR $50 off the 3 Month Plan Only available to new students Ends: June 18th Jun 19 10:00 PM PDT  11:00 PM PDT Join a FREE 1day workshop and learn how to ace the GMAT while keeping your fulltime job. Limited for the first 99 registrants. Jun 22 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Jun 23 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 29 Jun 2008
Posts: 37

A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
Updated on: 19 Mar 2015, 06:54
Question Stats:
70% (03:03) correct 30% (03:13) wrong based on 244 sessions
HideShow timer Statistics
A juice manufacturer organized tastetesting sessions featuring four brands of orange juice, A, B, C and D. All customers who participated told the organizer which variety they thought was the most similar to freshlysqueezed orange juice. 61% preferred brand A and exactly half as many preferred brand B. Only 65 chose brand C. Which of the following could be the number of customers who preferred brand D? (A) 1 (B) 8 (C) 14 (D) 20 (E) 27
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by nirimblf on 07 Jul 2008, 10:53.
Last edited by Bunuel on 19 Mar 2015, 06:54, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.




Math Expert
Joined: 02 Aug 2009
Posts: 7742

A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
27 Oct 2018, 20:02
Nikhilaery wrote: A juice manufacturer organized tastetesting sessions featuring four brands of orange juice, A, B, C and D. Out of all customers who participated, 61% preferred brand A and exactly half as much preferred brand B. Only 65 chose brand C. Which of the following could be the number of customers who preferred brand D?
A. 8 B. 11 C. 14 D. 20 E. 31 So the QUESTION must be meaning that each can prefer only one drink... So A and B is preferred by \(61 +\frac{61}{2}=61+30.5=91.5\)%.. Remaining 8.5% prefer C and D.. If 65 prefer C, # preferring \(D = 8.5*t65\), where t is total Now 8.5t will have 0 or 5 as units digit.. If 0 then D will have 5 as units digit and if 5, then 55=0 Here only choice D has a 0 so answer D.. Inference total is 100, 8.5% means 85, Cis 65 so D is \(8565=20\) D
_________________




Director
Joined: 13 Nov 2003
Posts: 742
Location: BULGARIA

Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
07 Jul 2008, 11:03
Hi,Think that the ans is 20. A and B together are 91.5%. This means that C and D together are 8,5%.Since it is given that C is 65 then the total number of people is at least 800. The next input is 1000 which gives 85, 65 for C and 20 for D



Director
Joined: 27 May 2008
Posts: 509

Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
07 Jul 2008, 11:14
total number of people is T 61% of T is an integer > T is a multiple of 100 31.5% of T is an interger > T is multiple of 200
C+D = 8.5% * T = 65 + x
After here i looked at the answer choices and found 20. it is satifying both conditions...
Answer D



SVP
Joined: 30 Apr 2008
Posts: 1789
Location: Oklahoma City
Schools: Hard Knocks

Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
07 Jul 2008, 11:21
I get D, but I'm not sure that my method is sound. You have A + B + C + D = total testers. Stating the variety they think is most similar to freshly squeezed orange juice means each person should get 1 vote. x = total number of testers A + B + C + D .61x + (.5)(.61x) + 65 + D = x .61x + .305x + 65 + D = x I took total testers = 1000 because that gives me nice numbers to deal with. Also, if I use 200 total testers, that gives me A = 122, B = 61, C = 65...that's over 200 without considering D. x = 400 A = 244, B = 122, C = 65..also over 400 x = 600 A = 366, B = 183 C = 65....also over 600 x = 800 A = 488, B = 244, C = 65...D = 3...not an option on the list. x = 1000 A = 610 B = 305 C = 65 D = 20....the first time I get an answer that is an option in the question. I suppose there is another way to figure this up .61x + .305x + 65 + D = x .915 + 65 + D = x 65 + D = 0.085x Even if D = 0, that leaves 65 / 0.085 = x...so the minimum number of testers (with D = 0) is 764.7. So we know the total number can't be less than that...and we've already seen 800 doesn't work...next logical step is 1000 which results in 20 and it's a possible answer. nirimblf wrote: A Juice manufacturer organized tastetesting sessions featuring four brands of orange joice, A B C and D. All customers who participated told the organizer which variety they thought was the most similar to freshly squeezed orange juice. Exactly 61% preferred brand A and exactly half as many preferred brand B. Only 65 chose brand C. Which of the following could be the number of customers who preferred brand D?
A. 8 B. 11 C. 14 D. 20 E. 31
_________________
 J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$. GMAT Club Premium Membership  big benefits and savings



Director
Joined: 14 Aug 2007
Posts: 643

Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
08 Jul 2008, 08:05
My (usual) silly mistake, i read 65 as 65%



Intern
Joined: 01 Jul 2008
Posts: 39

Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
08 Jul 2008, 08:06
durgesh79 wrote: total number of people is T 61% of T is an integer > T is a multiple of 100 31.5% of T is an interger > T is multiple of 200
C+D = 8.5% * T = 65 + x
After here i looked at the answer choices and found 20. it is satifying both conditions...
Answer D continuing from C+D=8.5%*T => D = 8.5%T65 Now for D to be +ve, T>= 800 For T= 800, D= 6865=3 (not a valid choice) For T= 1000, D = 8565 = 20 which is (D). if we go furhter, For T= 1200, D = 10265=37 (not a valid choice) now the Question is, what if 37 was one of the choices? Any idea what should we do?



Intern
Status: Preparing for GMAT
Joined: 01 Nov 2014
Posts: 2
Location: Egypt
Concentration: Human Resources, International Business
GMAT Date: 01022015

Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
19 Mar 2015, 06:45
BG wrote: Hi,Think that the ans is 20. A and B together are 91.5%. This means that C and D together are 8,5%.Since it is given that C is 65 then the total number of people is at least 800. The next input is 1000 which gives 85, 65 for C and 20 for D Could you please explain how you get that the total number at least 800???



eGMAT Representative
Joined: 04 Jan 2015
Posts: 2888

A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
Updated on: 17 Apr 2015, 11:42
earnit wrote: nirimblf wrote: A juice manufacturer organized tastetesting sessions featuring four brands of orange juice, A, B, C and D. All customers who participated told the organizer which variety they thought was the most similar to freshlysqueezed orange juice. 61% preferred brand A and exactly half as many preferred brand B. Only 65 chose brand C. Which of the following could be the number of customers who preferred brand D?
(A) 1 (B) 8 (C) 14 (D) 20 (E) 27 Is there any other approach to this question which is easy to comprehend? Hi earnit, the question can be solved without necessarily going into the values of T. In fact most of such PS questions can be simplified into expressions which would give you a pattern about the required values. The pattern can then be used to eliminate the option choices. In this case, we know that C+D= 8.5% of T We can write \(T = \frac{(65+D)*1000}{85}\). Hence, \(T= \frac{(65+D)*200}{17}\) \(= \frac{(68+D 3)*200}{17}\). Since 68 is a multiple of 17, for T to be an integer, (D 3 ) has to be a multiple of 17. So D has to be 3 greater than any multiple of 17. Only option which satisfies this condition is 20 Hope this helps! Regards Harsh



Manager
Joined: 04 Jan 2014
Posts: 75

Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
17 Apr 2015, 11:09
I hope in the expression it must be 8.5 not 85..
T=(65+D)∗100/85
Because if C+D=8.5% of T then, C+D=8.5*T/100 Thus T=(65+D)∗100/8.5 But even here the multiple of 17 for 68 follows.. Please help if I am wrong..



Manager
Joined: 10 Mar 2014
Posts: 186

Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
10 Aug 2015, 08:17
nirimblf wrote: A juice manufacturer organized tastetesting sessions featuring four brands of orange juice, A, B, C and D. All customers who participated told the organizer which variety they thought was the most similar to freshlysqueezed orange juice. 61% preferred brand A and exactly half as many preferred brand B. Only 65 chose brand C. Which of the following could be the number of customers who preferred brand D?
(A) 1 (B) 8 (C) 14 (D) 20 (E) 27 Hi Bunuel, I am getting C+ d = 8.5 % of total As A = 61% B= 30.5 % so c+ d = 8.5% T. But I got stuck here. Could you please provide your comments on this. Regards



Jamboree GMAT Instructor
Status: GMAT Expert
Affiliations: Jamboree Education Pvt Ltd
Joined: 15 Jul 2015
Posts: 273
Location: India

A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
17 Aug 2015, 22:18
Hi there! C + D = 8.5% of X (X=total number) . Given C = 65 After substituting and rearranging , we get : D= (85/1000)X  65. Now, problem solving is all about getting the answer with minimum calculation. Options always play a significant role in this aspect. If we carefully look into the options, we will figure that considering X=1000, we will get D=20. (Considering anyother value of X doesnt suffice any option). Take away: Options are an important tool for reasoning and getting the correct answer. Keep an eye to this fact.
_________________
Aryama Dutta Saikia Jamboree Education Pvt. Ltd.



Current Student
Joined: 26 Jan 2016
Posts: 100
Location: United States
GPA: 3.37

Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
03 Oct 2016, 15:07
I set up an equation and plugged in the answers. I set the total as "T". A=0.61T B=30.5T C=65 D= 20(plugged in from answer choice)
91.5T+85=100T 85=8.5T T=1 or 100%



Board of Directors
Joined: 17 Jul 2014
Posts: 2548
Location: United States (IL)
Concentration: Finance, Economics
GPA: 3.92
WE: General Management (Transportation)

Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
10 Oct 2016, 07:09
agree with what was said above solved the same way... 61+30.5 = 91.5% rest = 8.5% total people x 85x/1000 = 65+D x = (65+D)*1000/85 only 20 works.



Manager
Joined: 04 Jun 2015
Posts: 79

Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
08 Jul 2017, 02:01
Can anyone please tell why are we taking B = 1/2 A? If 61.5 % of the people preferred A then isnt it possible than there are people who also prefer brand B in this 61.5%? Thanks in advance
_________________



Senior Manager
Joined: 28 Jun 2015
Posts: 287
Concentration: Finance
GPA: 3.5

Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
08 Jul 2017, 04:19
Sash143 wrote: Can anyone please tell why are we taking B = 1/2 A? If 61.5 % of the people preferred A then isnt it possible than there are people who also prefer brand B in this 61.5%?
Thanks in advance I think the trick is in the way it is worded. 61% preferred brand A and exactly half as many preferred brand B. No, matter what 61.5% signifies, half of that number was opted by B. Half of that number translates to half the percentage. Hope its clear.
_________________
I used to think the brain was the most important organ. Then I thought, look what’s telling me that.



Math Expert
Joined: 02 Sep 2009
Posts: 55618

Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
Show Tags
08 Jul 2017, 04:55
Sash143 wrote: Can anyone please tell why are we taking B = 1/2 A? If 61.5 % of the people preferred A then isnt it possible than there are people who also prefer brand B in this 61.5%?
Thanks in advance All customers who participated told the organizer which variety they thought was the most similar to freshlysqueezed orange juice. The above implies that each participant chose exactly one variety of juice, the one he/she thought was the most similar to freshlysqueezed orange juice.
_________________




Re: A juice manufacturer organized tastetesting sessions featuring four
[#permalink]
08 Jul 2017, 04:55






