Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 09:00 AM PDT  10:00 AM PDT Watch & learn the Do's and Don’ts for your upcoming interview Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss! Oct 26 07:00 AM PDT  09:00 AM PDT Want to score 90 percentile or higher on GMAT CR? Attend this free webinar to learn how to prethink assumptions and solve the most challenging questions in less than 2 minutes. Oct 27 07:00 AM EDT  09:00 AM PDT Exclusive offer! Get 400+ Practice Questions, 25 Video lessons and 6+ Webinars for FREE. Oct 27 08:00 PM EDT  09:00 PM EDT Strategies and techniques for approaching featured GMAT topics. One hour of live, online instruction
Author 
Message 
TAGS:

Hide Tags

SVP
Joined: 24 Aug 2006
Posts: 2040

Seventy percent of the 800 students in School T are male. At
[#permalink]
Show Tags
Updated on: 17 Jun 2014, 11:48
Question Stats:
61% (02:46) correct 39% (02:50) wrong based on 547 sessions
HideShow timer Statistics
Seventy percent of the 800 students in School T are male. At least ten percent of the female students in School T participate in a sport. Fewer than thirty percent of the male students in School T do not participate in a sport. What is the maximum possible number of students in School T who do not participate in a sport? A. 216 B. 383 C. 384 D. 416 E. 417
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by kidderek on 08 Nov 2006, 20:41.
Last edited by Bunuel on 17 Jun 2014, 11:48, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.



Senior Manager
Joined: 05 Aug 2005
Posts: 339

B it is 383.......when we take into account fewer than 30% male . if we take exactly 30% then it is 384



Manager
Joined: 03 Nov 2006
Posts: 145

gmacvik wrote: B it is 383.......when we take into account fewer than 30% male . if we take exactly 30% then it is 384
Fewer then 30% don't participate, so at least 70% participate. This makes it B



CEO
Joined: 07 Jul 2004
Posts: 3783
Location: Singapore

# of male students = 560
# of female students = 240
10% female participate in sport = 24
Fewer than 30% of male students do not participate in sport = 168
# of female studnets who do not pariticpate in sport = 216
Total = 384



Director
Joined: 21 Aug 2006
Posts: 803

Re: sports participants
[#permalink]
Show Tags
09 Nov 2006, 03:04
kidderek wrote: Seventy percent of the 800 students in School T are male. At least ten percent of the female students in School T participate in a sport. Fewer than thirty percent of the male students in School T do not participate in a sport. What is the maximum possible number of students in School T who do not participate in a sport?
216 383 384 416 417
Female students = 30% of 800 =240
90% of female students = 216 (do not participate)
30% of male students = 30% of 70% of 800 = 168
The questions says fewer than 30% of male students did not participate, hence the number of males students who did not participate is 167.
The maximum possible number of students who did not participate = 216 + 167 = 383
_________________
The path is long, but selfsurrender makes it short;
the way is difficult, but perfect trust makes it easy.



SVP
Joined: 24 Aug 2006
Posts: 2040

I got the question wrong, chose C. OA is B b/c the question stem clearly says FEWER, therefore if you added 30% of males students, you did not go LESS than 30%, but rather exactly 30%.
I guess since there are two answer choices so close (384, 383) you should second guess why there is an answer choice just 1 number less.



Manager
Joined: 11 Feb 2011
Posts: 108

Seventy percent of the 800 students in School T are male. At
[#permalink]
Show Tags
14 Mar 2011, 05:15
Seventy percent of the 800 students in School T are male. At least ten percent of the female students in School T participate in a sport. Fewer than thirty percent of the male students in School T do not participate in a sport. What is the maximum possible number of students in School T who do not participate in a sport? A. 216 B. 383 C. 384 D. 416 E. 417
_________________



Retired Moderator
Joined: 20 Dec 2010
Posts: 1572

Re: Sets
[#permalink]
Show Tags
14 Mar 2011, 05:32
Please see the attached answer image.
Attachments
school_T.PNG [ 15.79 KiB  Viewed 14007 times ]
_________________



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9704
Location: Pune, India

Re: Sets
[#permalink]
Show Tags
14 Mar 2011, 19:00
AnkitK wrote: 70 percent of the 800 students in school T are male.At least 10 percent of the female students in school T participate in sport.Fewer than 30 percent of the male students in school T do not participate in a sport .What is the maximum possible number of students in school T who do not participate in a sport? A.216 B.383 C.384 D.416 E.417
pls expalin with diagramatic explanation. You can also use a Venn diagram (with a twist) to assimilate the given information. Note that the male and female sets will obviously not overlap and the sports set will be completely made up of male and female sets. Male students: 70% of 800 = 560 Female students = 800  560 = 240 Male students not participating in sports < 30% of 560 = 168 Female students participating in sports >= 10% of 240 = 24 Attachment:
Ques3.jpg [ 7.95 KiB  Viewed 13926 times ]
We have to maximize the students not participating in sports i.e. the shaded red and green regions. Maximum value of shaded red region is 167 (to make it less than 168) Maximum value of shaded green region will be obtained when females playing sports is minimized i.e. taken to be 24. Then females not playing sports = 240  24 = 216 Sum of red and green regions = 167+216 = 383
_________________
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 >



Retired Moderator
Joined: 16 Nov 2010
Posts: 1252
Location: United States (IN)
Concentration: Strategy, Technology

Re: Sets
[#permalink]
Show Tags
14 Mar 2011, 22:07
From question, 560 students are male and 240 students are female To get the max # of people who do not partipate in sports, maximize the number for both males and females. At least 10% of Females participate in sports so Max # of nonparticipants(we need to keep participants at minimum) = 90% of females = 0.9 * 240 = 216 < 30% of the male students in school T do not participate in a sport => so Max # of male nonparticipants = greatest integer value of male participant < (30% of males = 0.3 * 560 = 168) So the nearest value of male students not participating in sports = 167 So total = 167 + 216 = 383 Answer is B.
_________________
Formula of Life > Achievement/Potential = k * Happiness (where k is a constant) GMAT Club Premium Membership  big benefits and savings



Senior Manager
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 421

Re: Sets
[#permalink]
Show Tags
15 Mar 2011, 05:27
m=800*.70=560 f=800*.30= 240 female not participate = 240*.90= 216 male not participate = 560*.30 = <168 or 167 216+167= 383 Ans. B.
_________________



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9704
Location: Pune, India

Re: Seventy percent of the 800 students in School T are male
[#permalink]
Show Tags
26 Aug 2013, 23:06
alphabeta1234 wrote: Hey Guys,
I have been recently trying to study answer choice patterns. I have noticed this pattern on a couple of GMAT questions. Notice how (b) and (c) are 1 apart. Same with (d) and (e). Has anyone found any useful clues about such questions?
Seventy percent of the 800 students in School T are male. At least ten percent of the female students in School T participate in a sport. Fewer than thirty percent of the male students in School T do not participate in a sport. What is the maximum possible number of students in School T who do not participate in a sport?
a) 216 b) 383 c) 384 d) 416 e)417
Does it imply a wording trick by GMAC. I went for answer (c) having missed "FEWER" in the question. Not necessarily but you must be mindful in such cases. If you got 384, you should take a step back and review once whether the correct answer could be 383 because you missed something. There will be trick options. The other 4 options are not put in blindly. The question setter makes frequently made mistakes and follows up to get an incorrect answer. These answers are then put as options.
_________________
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 >



Intern
Joined: 24 Sep 2013
Posts: 22
WE: Analyst (Consulting)

Re: Seventy percent of the 800 students in School T are male. At
[#permalink]
Show Tags
21 Oct 2013, 03:52
Damn.I solved for the number of players who play sports.



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1749
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: Seventy percent of the 800 students in School T are male. At
[#permalink]
Show Tags
18 Jun 2014, 01:07
Refer diagram below: 30% of 560 = 168 Fewer than 30%, so just substract 1 = 168  1 = 167 167 + 216 = 383 Answer = B
Attachments
spo.jpg [ 23.27 KiB  Viewed 12379 times ]
_________________
Kindly press "+1 Kudos" to appreciate



Retired Moderator
Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Joined: 30 Jul 2013
Posts: 300

Seventy percent of the 800 students in School T are male. At least ten
[#permalink]
Show Tags
01 Sep 2014, 10:33
Seventy percent of the 800 students in School T are male. At least ten percent of the female students in School T participate in a sport. Fewer than thirty percent of the male students in School T do not participate in a sport. What is the maximum possible number of students in School T who do not participate in a sport? A. 216 B. 383 C. 384 D. 416 E. 417



GMAT Tutor
Status: Tutor  BrushMyQuant
Joined: 05 Apr 2011
Posts: 622
Location: India
Concentration: Finance, Marketing
GPA: 3
WE: Information Technology (Computer Software)

Re: Seventy percent of the 800 students in School T are male. At least ten
[#permalink]
Show Tags
01 Sep 2014, 10:39
AmoyV wrote: Seventy percent of the 800 students in School T are male. At least ten percent of the female students in School T participate in a sport. Fewer than thirty percent of the male students in School T do not participate in a sport. What is the maximum possible number of students in School T who do not participate in a sport? A. 216 B. 383 C. 384 D. 416 E. 417 Number of male students = 70% of 800 = 560 Number of females students = 30% of 800 = 240 At least 10% of female students participate in sports => at most 90% of female students do NOT participate in sports => 0.9*240 = 216 Fewer than 30% of male students do NOT participate=> less than 0.3*560 => less than 168 => 167 (max) So, maximum number of students who do not participate = 216 + 167 = 383 So, Answer will be B Hope it helps!
_________________



Math Expert
Joined: 02 Sep 2009
Posts: 58434

Re: Seventy percent of the 800 students in School T are male. At
[#permalink]
Show Tags
01 Sep 2014, 10:47
AmoyV wrote: Seventy percent of the 800 students in School T are male. At least ten percent of the female students in School T participate in a sport. Fewer than thirty percent of the male students in School T do not participate in a sport. What is the maximum possible number of students in School T who do not participate in a sport? A. 216 B. 383 C. 384 D. 416 E. 417 Merging topics. Please refer to the discussion above. Can you please try searching before posting? Thank you.
_________________



Intern
Joined: 17 Oct 2013
Posts: 49

Re: Seventy percent of the 800 students in School T are male. At
[#permalink]
Show Tags
01 Sep 2014, 11:01
Bunuel wrote: AmoyV wrote: Seventy percent of the 800 students in School T are male. At least ten percent of the female students in School T participate in a sport. Fewer than thirty percent of the male students in School T do not participate in a sport. What is the maximum possible number of students in School T who do not participate in a sport? A. 216 B. 383 C. 384 D. 416 E. 417 Merging topics. Please refer to the discussion above. Can you please try searching before posting? Thank you. I have a doubt here. Question says " at least 10 percent of the female student participate in sport", I thought it meant 10 or more than 10%. Minimum is 10% and it can go higher as well.



Board of Directors
Joined: 17 Jul 2014
Posts: 2509
Location: United States (IL)
Concentration: Finance, Economics
GPA: 3.92
WE: General Management (Transportation)

Re: Seventy percent of the 800 students in School T are male. At
[#permalink]
Show Tags
14 Mar 2016, 18:16
kidderek wrote: Seventy percent of the 800 students in School T are male. At least ten percent of the female students in School T participate in a sport. Fewer than thirty percent of the male students in School T do not participate in a sport. What is the maximum possible number of students in School T who do not participate in a sport?
A. 216 B. 383 C. 384 D. 416 E. 417 ok, so 70% are males, or males = 560 females = 240 at least 24 females practice sport. 30% of 560 = 168. since we need fewer, the next maximum number we can have is 167. this is clearly fewer than 30%. now females. at least 24 practice, that means that the maximum number of females who do not practice is 216. total max # of people who do not practice = 216+167=383.



Manager
Joined: 23 Dec 2013
Posts: 138
Location: United States (CA)
GMAT 1: 710 Q45 V41 GMAT 2: 760 Q49 V44
GPA: 3.76

Re: Seventy percent of the 800 students in School T are male. At
[#permalink]
Show Tags
29 May 2017, 16:55
kidderek wrote: Seventy percent of the 800 students in School T are male. At least ten percent of the female students in School T participate in a sport. Fewer than thirty percent of the male students in School T do not participate in a sport. What is the maximum possible number of students in School T who do not participate in a sport?
A. 216 B. 383 C. 384 D. 416 E. 417 This problem can best be tackled via the max/min principle. To wit, if you want to maximize a value, you should minimize some other value or constraint. In this case, we want to maximize the number of students who do not play a sport, so we should minimize the number of students who do play a sport. We know that at least 10% of female students out of 240 total female students play a sport. So the minimum value here is 24. Thus, 24024 = 216 female students do not play a sport at most. We know that fewer than 30% of male students do not play a sport, so we want to maximize this value. Since students are humans and thus must be integers, the smallest value here is 167<3/10*560 1. If we did not reduce by 1, then the number of male students who do not play a sport would be equal to 30% of male students, not less than 30% of male students. It plays a role in the answer choices. 240+ 167 = 383, the maximum number of students who do not play a sport.




Re: Seventy percent of the 800 students in School T are male. At
[#permalink]
29 May 2017, 16:55



Go to page
1 2
Next
[ 22 posts ]



