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.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Want to score 90 percentile or higher on GMAT CR? Attend this free webinar to learn how to pre-think assumptions and solve the most challenging questions in less than 2 minutes.
Of the z students at a certain college, x are studying
[#permalink]
Show Tags
Updated on: 06 Oct 2013, 09:00
2
00:00
A
B
C
D
E
Difficulty:
25% (medium)
Question Stats:
75% (01:29) correct 25% (01:43) wrong based on 274 sessions
HideShow timer Statistics
Of the z students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
(A) z + w- x- y (B) z - w- x- y (C) z- w - x + y (D) w + x + y- z (E) w - x - y - z
Hard to answer b/c there are no parenthesis in the answer choices. Looks to as they are written, none of the answer choices are correct. I would say that the answer should be :
z-(w-(x+y))
Re: Of the z students at a certain college, x are studying
[#permalink]
Show Tags
06 Oct 2013, 06:50
Yurik79 wrote:
Of the z students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ? (A) z + w- x- y (B) z - w- x- y (C) z- w - x + y (D) w + x + y- z (E) w - x - y - z
OA please? I got A. Used smart numbers but not sure if it is the best approach here
Re: Of the z students at a certain college, x are studying
[#permalink]
Show Tags
06 Oct 2013, 09:01
jlgdr wrote:
Yurik79 wrote:
Of the z students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ? (A) z + w- x- y (B) z - w- x- y (C) z- w - x + y (D) w + x + y- z (E) w - x - y - z
OA please? I got A. Used smart numbers but not sure if it is the best approach here
Hard to answer b/c there are no parenthesis in the answer choices. Looks to as they are written, none of the answer choices are correct. I would say that the answer should be : z-(w-(x+y))
Attachments
File comment: i personally feel, this is the best way to solve it. grid.docx [11.88 KiB]
Downloaded 81 times
Re: Of the z students at a certain college, x are studying
[#permalink]
Show Tags
13 Feb 2015, 13:26
Hi All,
It looks like most of the posters in this thread recognized that this question is a variation on an Overlapping Sets question. It can be solved in a variety of ways (mostly algebraic), but there is an opportunity to TEST VALUES. You just have to be careful with your notes:
We're given 4 variables to work with: Z = Total number of students X = Total who study French Y = Total who study German W = Total who study French AND German
We're asked for the number that study NEITHER French NOR German.
Let's TEST VALUES. I'm going to keep things simple, but the note-taking here is crucial to getting the correct answer.
IF... 1 studies just French 1 studies just German 1 studies BOTH French and German
We have X = 2 (since 1 speaks just french and another speaks both) Y = 2 (since 1 speaks just German and another speaks both W = 1
Now we can set the "neither" group to any positive value we want; I'm going to choose a larger number to set it apart from the others. Neither = 5
That makes the TOTAL number of students: 1 + 1 + 1 + 5 = 8 Z = 8
So, using the values.... X = 2 Y = 2 W = 1 Z = 8
We're looking for an answer that equals 5.
Answer A: 8+1-2-2 = 5 This IS a match Answer B: 8-1-2-2 = 3 This is NOT a match Answer C: 8-1-2+2 = 7 This is NOT a match Answer D: 1+2+2-5 = 0 This is NOT a match Answer E: 1-2-2-5 = -8 This is NOT a match
Of the z students at a certain college, x are studying French and y
[#permalink]
Show Tags
20 Nov 2015, 01:30
Of the z students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
(A) z + w – x – y (B) z – w – x – y (C) z – w – x + y (D) w + x + y – z (E) w – x – y – z
_________________
Re: Of the z students at a certain college, x are studying French and y
[#permalink]
Show Tags
20 Nov 2015, 02:49
Total = (French) + (German) - (French n German) + (Neither) => Neither = z + w - x - y
Answer A
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
Re: Of the z students at a certain college, x are studying
[#permalink]
Show Tags
22 Oct 2016, 06:39
Yurik79 wrote:
Of the z students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
(A) z + w- x- y (B) z - w- x- y (C) z- w - x + y (D) w + x + y- z (E) w - x - y - z
Since we have an overlapping set problem, we can use the following formula:
number of students studying French + number of students studying German + number of students studying neither subject - number of students studying both subjects = total number of students
We are given that:
number of students studying French = x
number of students studying German = y
number of students studying both subjects = w
total number of students = z.
If we let number of students studying neither subject = n, we have:
Of the z students at a certain college, x are studying French and y
[#permalink]
Show Tags
08 Jan 2018, 15:35
2
Top Contributor
Bunuel wrote:
Of the z students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
(A) z + w – x – y (B) z – w – x – y (C) z – w – x + y (D) w + x + y – z (E) w – x – y – z
We can also use the Double Matrix Method here. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it.
Here, we have a population of zstudents, and the two characteristics are: - studying French or not studying French - studying German or not studying German
So, we can set up our diagram as follows:
Note: I placed a star in the bottom right box to remind me that this is the value we are trying to determine.
Now, if there are z students ALTOGETHER, and x of them are studying French, then the number of students NOT studying French = z - x. Similarly, if there are z students ALTOGETHER, and y of them are studying German, then the number of students NOT studying German = z - y. So, we can add that information to the diagram.
w are studying both French and German When we add this information to our diagram, we get the following:
When we examine the TOP 2 BOXES, we see that they add to x. So, the TOP-RIGHT box must be x - w
Finally, we know that the two HIGHLIGHTED boxes below must add to z - y.
So, the BOTTOM-RIGHT box must equal (z - y) - (x - w)