December 13, 2018 December 13, 2018 08:00 AM PST 09:00 AM PST What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL. December 14, 2018 December 14, 2018 09:00 AM PST 10:00 AM PST 10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51185

Three hundred students at College Q study a foreign language. Of these
[#permalink]
Show Tags
27 Dec 2015, 08:56
Question Stats:
64% (02:44) correct 36% (02:32) wrong based on 203 sessions
HideShow timer Statistics



Senior Manager
Joined: 28 Feb 2014
Posts: 294
Location: United States
Concentration: Strategy, General Management

Re: Three hundred students at College Q study a foreign language. Of these
[#permalink]
Show Tags
29 Dec 2015, 10:39
[quote="Bunuel"]Three hundred students at College Q study a foreign language. Of these, 110 of those students study French, and 170 study Spanish. If at least 90 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from
110 students study French 190 students do not study French
170 students study Spanish 130 students do not study Spanish
90 students study neither French nor Spanish
190130=60 19090=100
C. 60 to 100



Current Student
Joined: 30 Dec 2015
Posts: 188
Location: United States
Concentration: Strategy, Organizational Behavior
GPA: 3.88
WE: Business Development (Hospitality and Tourism)

Re: Three hundred students at College Q study a foreign language. Of these
[#permalink]
Show Tags
29 Jan 2016, 05:09
peachfuzz wrote: Bunuel wrote: Three hundred students at College Q study a foreign language. Of these, 110 of those students study French, and 170 study Spanish. If at least 90 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from
110 students study French 190 students do not study French
170 students study Spanish 130 students do not study Spanish
90 students study neither French nor Spanish
190130=60 19090=100
C. 60 to 100 Hi, can you please elaborate on your approach? Why subtract 190130 to get smallest amount that could study only spanish?



CEO
Joined: 20 Mar 2014
Posts: 2633
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: Three hundred students at College Q study a foreign language. Of these
[#permalink]
Show Tags
29 Jan 2016, 05:36
lpetroski wrote: peachfuzz wrote: Bunuel wrote: Three hundred students at College Q study a foreign language. Of these, 110 of those students study French, and 170 study Spanish. If at least 90 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from
110 students study French 190 students do not study French
170 students study Spanish 130 students do not study Spanish
90 students study neither French nor Spanish
190130=60 19090=100
C. 60 to 100 Hi, can you please elaborate on your approach? Why subtract 190130 to get smallest amount that could study only spanish? Look below for an explanation. You are given Attachment:
12916 82725 AM.jpg [ 22.65 KiB  Viewed 2158 times ]
Text in red is the 'calculated' value, text in black is the given information. 'x' denotes the quantity that we need to calculate. As shown in, you are told that ATLEAST 90 students study neither French nor Spanish. Thus for calculating the range for Students that study Spanish and NOT French, you need to assume both the minimum and maximum values. Minimum value = 90 while maximum is dictated by 130 students not studying Spanish (=130). Put these values 1 by 1 as shown below to calculate the range. When you put Not Spanish and Not French = 90, you get Spanish and NOT French as = 19090=100. This is the upper bound of the students asked. Attachment:
12916 82857 AM.jpg [ 26.1 KiB  Viewed 2159 times ]
When you put Not Spanish and Not French = 130, you get Spanish and NOT French as = 190130=60. This is the lower bound of the students asked. Attachment:
12916 82825 AM.jpg [ 25.29 KiB  Viewed 2157 times ]
Thus, the range is 60100. Hence C is the correct answer. Hope this helps.



Manager
Joined: 07 Mar 2015
Posts: 110
Location: India
Concentration: General Management, Operations
GPA: 3.84
WE: Engineering (Energy and Utilities)

Re: Three hundred students at College Q study a foreign language. Of these
[#permalink]
Show Tags
29 Jan 2016, 05:55
QUICK APPROACH TO THE SUM: STEP 1 : WE CAN FIND THE MAXIMUM VALUE BY MINIZING S/ & F/ ( THE MINIMUM VALUE IS 90, SO THE MACIMUM VALE WILL BE 100 FOR S & F/ SO WE COME DOWN TO OPTION B & C , REST ARE ELIMINATED STEP 2 : WE HAVE TO JUST 40 & 60 IN THE BOXES ONLY 60 CAN SATISFY SO IMO is C
Attachments
1.png [ 7.97 KiB  Viewed 2116 times ]



Manager
Joined: 09 Jul 2013
Posts: 109

Re: Three hundred students at College Q study a foreign language. Of these
[#permalink]
Show Tags
29 Jan 2016, 10:25
For problems like this with overlapping sets where numbers can shift ( at least 90 students...), I like to use a graphical approach so I can visualize what is going on. Attachment:
Overlapping sets.png [ 36.13 KiB  Viewed 2078 times ]
In the first part, there are 90 students taking neither Spanish nor French, which leaves 210 students who take either Spanish or French or both. To maximize the number of students who take Spanish but not French, we will minimize the overlap of the two classes. Here we see that there can be a maximum of 100 students who take Spanish but not French. In the second part, to minimize the number of students who take Spanish and not French, we should maximize the overlap of the two sets. The French students get shifted to the left by 40 so that every student who takes French also takes Spanish. Now there are 130 students who take neither Spanish nor French, and a minimum of 60 who take Spanish but not French. You can see that you can't reduce the number below 60, because no matter where you slide the french students, there will always be 60 who take Spanish and not French. Answer: C
_________________
Dave de Koos GMAT aficionado



NonHuman User
Joined: 09 Sep 2013
Posts: 9149

Re: Three hundred students at College Q study a foreign language. Of these
[#permalink]
Show Tags
25 Dec 2017, 10:50
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




Re: Three hundred students at College Q study a foreign language. Of these &nbs
[#permalink]
25 Dec 2017, 10:50






