gmat preparation courses

It is currently Thu Jan 18, 2018 5:30 pm

All times are UTC - 5 hours [ DST ]




Post new topic Reply to topic  [ 4 posts ] 
Author Message
 Post subject: GMAT Sets
PostPosted: Mon Mar 12, 2012 1:26 pm 
Offline

Joined: Sun May 30, 2010 3:15 am
Posts: 424
210 college students were asked in a survey if they preferred Windows or Mac brand computers. 85 students claimed that they preferred Mac to Windows brand computers. One fourth as many of the students who preferred Windows to Mac had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
A. 25
B. 50
C. 75
D. 100
E. 125

(D) The survey divides these college students into 3 groups, that do NOT overlap: preferred Mac to Windows, preferred Windows to Mac, had no preference. So the sum of numbers of students in these groups equals 210.
Let’s denote the number of students who had no preference by x. Then the number of students who preferred Windows to Mac was 4x.
85 + 4x + x = 210
5x = 125
x = 25
The number of the students in the survey who preferred Windows to Mac brand computers was 4x = 4 × 25 = 100. The correct answer is D.
----------
It is confusing when it says the students had no prefernce. It is not sure if they liked netiher brand, or liked both.


Top
 Profile  
 
 Post subject: Re: t.1, qt.5: sets, word problems, linear equations
PostPosted: Mon Mar 12, 2012 1:37 pm 
Offline

Joined: Sun May 30, 2010 2:23 am
Posts: 498
Quote:
It is confusing when it says the students had no preference. It is not sure if they liked neither brand, or liked both.
This question is about preference. They were asked which one they preferred. Like in a comparison, one of the choices could be more preferable (">" or "<"). Also, a student could have no preference ("="). In other words, it did not matter whether a student liked them both equally, or didn't like them both equally - he would still have no preference.

When a student found one of them more preferable, he still could be liking (or not liking) them both, but one of them more, than the other.


Top
 Profile  
 
 Post subject: Re: t.1, qt.5: sets, word problems, linear equations
PostPosted: Wed Jun 27, 2012 7:30 am 
Offline

Joined: Sun May 30, 2010 3:15 am
Posts: 424
Could it be possible to do the same equation but saying that x is the number of students that preferred Windows to MAC and 1/4 of (x) are the students that had no preference?


Top
 Profile  
 
 Post subject: Re: t.1, qt.5: sets, word problems, linear equations
PostPosted: Wed Jun 27, 2012 7:36 am 
Offline

Joined: Sun May 30, 2010 2:23 am
Posts: 498
questioner wrote:
Could it be possible to do the same equation but saying that x is the number of students that preferred Windows to MAC and 1/4 of (x) are the students that had no preference?
Yes, you can denote any unknown value by a variable. It is up to you to choose which one.

In your denotation the equation will be the following:

85 + x + x/4 = 210
5x/4 = 125
x = (125 / 5) × 4
x = 100

As you see we get the same answer to the question.


Note, that denoting the smallest value by a variable often helps to avoid fractions in an equation.


Top
 Profile  
 
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 4 posts ] 

All times are UTC - 5 hours [ DST ]


Who is online

Users browsing this forum: hin86WRB6 and 3 guests


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to:  
cron
Powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group