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Students from outside the province of Markland, who in any

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Re: Central Markland College [#permalink] New post 22 Nov 2010, 06:11
I will stick with E,but I have my doubts since the fee has increased for everyone (Locals and outsiders) how would you justify increase in per capita fee?

Ox + Iy = C
O=outsiders, fee=x
I=Locals, fee=y
O decreases, I increases x and y can both be adjusted to compensate.
C/x+y wouldnt necessarily go up.
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Re: Central Markland College [#permalink] New post 22 Nov 2010, 10:53
E is clear winner
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Re: Central Markland College [#permalink] New post 29 Nov 2010, 12:30
I choose B. I can understand why E is an option but nothing ever states that the school has to reach a certain budget in the actually excerpt. I personally feel that is too far out of scope for the question. However, in the upper 700 level questions that is what makes the difference between right and wrong
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Re: Central Markland College [#permalink] New post 29 Nov 2010, 13:58
Students from outside the province of Markland, who in any given academic year pay twice as much tuition each as do students from Markland, had traditionally accounted for at least two-thirds of the enrollment at Central Markland College. Over the past 10 years academic standards at the college have risen and the proportion of students who are not Marklanders has dropped to around 40 percent.
Which one of the following can be properly inferred from the statements above?

(A) If it had not been for the high tuition paid by students from outside Markland, the college could not have improved its academic standards over the past 10 years. => The relation "high tuition/ rising academic standards" is not mentioned above.
(B) If academic standards had not risen over the past 10 years, students who are not Marklanders would still account for at least two-thirds of the college’s enrollment. => nowhere in the statement above, it is said that academic standards could affect the enrollment
(C) Over the past 10 year the number of students from Markland increased and the number of students from outside Markland decreased. => we talk about "proportion" and not "number"
(D) Over the past 10 years academic standards at Central Markland College have risen by more than academic standards at any other college in Markland. => no comparison is made in the initial statement
(E) If the college’s per capita revenue from tuition has remained the same, tuition fees have increased over the past 10 years. => a math question:
capita revenue = x% * 2 *Marklander tuition + (100-x)%* Marklander tuition = (1 + x%)* Marklander Tuition
=> since x decreases, capita revenue does not change, then Tuition must increase
answer E
Well, of courses we don't write down this equation during the test :) , just reason it intuitively
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Re: Central Markland College [#permalink] New post 29 Nov 2010, 14:06
zeep wrote:
Students from outside the province of Markland, who in any given academic year pay twice as much tuition each as do students from Markland, had traditionally accounted for at least two-thirds of the enrollment at Central Markland College. Over the past 10 years academic standards at the college have risen and the proportion of students who are not Marklanders has dropped to around 40 percent.
Which one of the following can be properly inferred from the statements above?

(A) If it had not been for the high tuition paid by students from outside Markland, the college could not have improved its academic standards over the past 10 years. => The relation "high tuition/ rising academic standards" is not mentioned above.
(B) If academic standards had not risen over the past 10 years, students who are not Marklanders would still account for at least two-thirds of the college’s enrollment. => nowhere in the statement above, it is said that academic standards could affect the enrollment
(C) Over the past 10 year the number of students from Markland increased and the number of students from outside Markland decreased. => we talk about "proportion" and not "number"
(D) Over the past 10 years academic standards at Central Markland College have risen by more than academic standards at any other college in Markland. => no comparison is made in the initial statement
(E) If the college’s per capita revenue from tuition has remained the same, tuition fees have increased over the past 10 years. => a math question:
capita revenue = x% * 2 *Marklander tuition + (100-x)%* Marklander tuition = (1 + x%)* Marklander Tuition
=> since x decreases, capita revenue does not change, then Tuition must increase
answer E
Well, of courses we don't write down this equation during the test :) , just reason it intuitively



Since the fee has increased for everyone (Locals and outsiders) how would you justify increase in per capita fee?

Ox + Iy = C
O=outsiders, fee=x
I=Locals, fee=y
O decreases, I increases x and y can both be adjusted to compensate.
C/O+I wouldnt necessarily go up.

Last edited by vicksikand on 29 Nov 2010, 14:39, edited 1 time in total.
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Re: Central Markland College [#permalink] New post 29 Nov 2010, 14:26
vicksikand wrote:
zeep wrote:
Students from outside the province of Markland, who in any given academic year pay twice as much tuition each as do students from Markland, had traditionally accounted for at least two-thirds of the enrollment at Central Markland College. Over the past 10 years academic standards at the college have risen and the proportion of students who are not Marklanders has dropped to around 40 percent.
Which one of the following can be properly inferred from the statements above?

(A) If it had not been for the high tuition paid by students from outside Markland, the college could not have improved its academic standards over the past 10 years. => The relation "high tuition/ rising academic standards" is not mentioned above.
(B) If academic standards had not risen over the past 10 years, students who are not Marklanders would still account for at least two-thirds of the college’s enrollment. => nowhere in the statement above, it is said that academic standards could affect the enrollment
(C) Over the past 10 year the number of students from Markland increased and the number of students from outside Markland decreased. => we talk about "proportion" and not "number"
(D) Over the past 10 years academic standards at Central Markland College have risen by more than academic standards at any other college in Markland. => no comparison is made in the initial statement
(E) If the college’s per capita revenue from tuition has remained the same, tuition fees have increased over the past 10 years. => a math question:
capita revenue = x% * 2 *Marklander tuition + (100-x)%* Marklander tuition = (1 + x%)* Marklander Tuition
=> since x decreases, capita revenue does not change, then Tuition must increase
answer E
Well, of courses we don't write down this equation during the test :) , just reason it intuitively



Since the fee has increased for everyone (Locals and outsiders) how would you justify increase in per capita fee?

Ox + Iy = C just a remark: in your equation, C is the revenue, not per capita revenue. Then to reason with "per capita revenue", it should be x* O/(O+I) + y * I/(O+I) = C/(I+O) , with x = 2y
given O/(O+I) = A then I/(O+I) = 1-A => equation above is equivalent to
2y * A + y * (1-A) = C/(I+O) <=> y*(1+A) = C/(I+O)
Then if C/(O+I) = per capita does not change, A (proportion of outsiders) decreases => y must increase

O=outsiders, fee=x
I=Locals, fee=y
O decreases, I increases x and y can both be adjusted to compensate.
C/x+y wouldnt necessarily go up.


hope this help
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Re: Central Markland College [#permalink] New post 29 Nov 2010, 14:45
zeep wrote:
vicksikand wrote:
zeep wrote:
Students from outside the province of Markland, who in any given academic year pay twice as much tuition each as do students from Markland, had traditionally accounted for at least two-thirds of the enrollment at Central Markland College. Over the past 10 years academic standards at the college have risen and the proportion of students who are not Marklanders has dropped to around 40 percent.
Which one of the following can be properly inferred from the statements above?

(A) If it had not been for the high tuition paid by students from outside Markland, the college could not have improved its academic standards over the past 10 years. => The relation "high tuition/ rising academic standards" is not mentioned above.
(B) If academic standards had not risen over the past 10 years, students who are not Marklanders would still account for at least two-thirds of the college’s enrollment. => nowhere in the statement above, it is said that academic standards could affect the enrollment
(C) Over the past 10 year the number of students from Markland increased and the number of students from outside Markland decreased. => we talk about "proportion" and not "number"
(D) Over the past 10 years academic standards at Central Markland College have risen by more than academic standards at any other college in Markland. => no comparison is made in the initial statement
(E) If the college’s per capita revenue from tuition has remained the same, tuition fees have increased over the past 10 years. => a math question:
capita revenue = x% * 2 *Marklander tuition + (100-x)%* Marklander tuition = (1 + x%)* Marklander Tuition
=> since x decreases, capita revenue does not change, then Tuition must increase
answer E
Well, of courses we don't write down this equation during the test :) , just reason it intuitively



Since the fee has increased for everyone (Locals and outsiders) how would you justify increase in per capita fee?

Ox + Iy = C just a remark: in your equation, C is the revenue, not per capita revenue. Then to reason with "per capita revenue", it should be x* O/(O+I) + y * I/(O+I) = C/(I+O) , with x = 2y
given O/(O+I) = A then I/(O+I) = 1-A => equation above is equivalent to
2y * A + y * (1-A) = C/(I+O) <=> y*(1+A) = C/(I+O)
Then if C/(O+I) = per capita does not change, A (proportion of outsiders) decreases => y must increase

O=outsiders, fee=x
I=Locals, fee=y
O decreases, I increases x and y can both be adjusted to compensate.
C/x+y wouldnt necessarily go up.


hope this help

I was lazy not to take that extra step of setting up the weighted average equation and simplifying it.
Good job and yes I agree with what you have done.
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Re: Central Markland College [#permalink] New post 29 Nov 2010, 19:21
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noboru wrote:
Students from outside the province of Markland, who in any given academic year pay twice as much tuition each as do students from Markland, had traditionally accounted for at least two-thirds of the enrollment at Central Markland College. Over the past 10 years academic standards at the college have risen and the proportion of students who are not Marklanders has dropped to around 40 percent.
Which one of the following can be properly inferred from the statements above?
(A) If it had not been for the high tuition paid by students from outside Markland, the college could not have improved its academic standards over the past 10 years.
(B) If academic standards had not risen over the past 10 years, students who are not Marklanders would still account for at least two-thirds of the college’s enrollment.
(C) Over the past 10 year the number of students from Markland increased and the number of students from outside Markland decreased.
(D) Over the past 10 years academic standards at Central Markland College have risen by more than academic standards at any other college in Markland.
(E) If the college’s per capita revenue from tuition has remained the same, tuition fees have increased over the past 10 years.



Question stem: Which one of the following can be properly inferred from the statements above?
This is a 'must be true' question. You are looking for the option that can be inferred from the stimulus.

Premises:
-Students from outside Markland, who pay twice as much tuition as do students from Markland, had accounted for at least 2/3 of the enrollment.
-Over the past 10 years academic standards at the college have risen and the proportion of students who are not Marklanders has dropped to around 40 percent.
Which means that 60% students are now Marklanders.

(A) If it had not been for the high tuition paid by students from outside Markland, the college could not have improved its academic standards over the past 10 years.
We do not know why the standards improved. Cannot be inferred.

(B) If academic standards had not risen over the past 10 years, students who are not Marklanders would still account for at least two-thirds of the college’s enrollment.
Cannot be inferred. We do not know if there is a relation between academic standards and % of non Marklanders.

(C) Over the past 10 year the number of students from Markland increased and the number of students from outside Markland decreased.
No information about number of students. Cannot be inferred.

(D) Over the past 10 years academic standards at Central Markland College have risen by more than academic standards at any other college in Markland.
No information about other colleges. Cannot be inferred.
(E) If the college’s per capita revenue from tuition has remained the same, tuition fees have increased over the past 10 years.
Per capita revenue implies the average paid by each student. It doesn't matter whether the total number of students have increased or decreased. If those paying twice have reduced, then to still get the same average, tuition must have increased.

Answer (E).
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Re: Central Markland College [#permalink] New post 30 Nov 2010, 07:45
Expert's post
The catch in E is that the per capita revenue remaining the same. Even If the absolute number of non- Marklanders increases, despite the percentage coming down, (which is possible) the per capita revenue will not rise. This is because, for every higher contribution by the non- Marklanders, there is a much more increase in the number of the Marklanders, who contribute half of their counterparts, thus pulling down the average.

The best way is to a make a simulated arithmetic, and one can see that whatever the situation, the per capita revenue will not remain the same in the new permutation, unless there is an actual rise.

E is the safest inference
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Re: Central Markland College [#permalink] New post 30 Nov 2010, 15:10
+1 E
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Re: Central Markland College [#permalink] New post 23 Oct 2011, 04:04
+1 for E
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Re: Students from outside the province of Markland, who in any [#permalink] New post 12 Jan 2012, 21:57
Good job with explanation Karisma.+1 for you!
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Re: Students from outside the province of Markland, who in any [#permalink] New post 30 Apr 2014, 06:31
Can somebody please explain why is C not right. If the proportion of outsiders has decresed then can't it be inferred that number of outsiders has decreased .

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Re: Students from outside the province of Markland, who in any [#permalink] New post 30 Apr 2014, 22:46
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282552 wrote:
Can somebody please explain why is C not right. If the proportion of outsiders has decresed then can't it be inferred that number of outsiders has decreased .

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A decrease in proportion does not imply a decrease in numbers.

Say there used to be 100 students - 70 outsiders (70%) and 30 Marklanders (30%)

Say now there are 500 students - 200 outsiders (40%) and 300 Marklanders (60%)

So though the proportion of outsiders has decreased from 70% to 40%, their number has actually increased (from 70 to 200) because total number of students has increased. Since we know nothing about the number of students, we cannot say what happened to the actual number of outsiders in the last 10 years.
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Re: Central Markland College [#permalink] New post 04 May 2014, 01:15
mosfad wrote:
I still don't understand why the answer is E. What if the actual number of non-Markland students increase? According to CR Bible, decreasing porportion does not necessarily imply decreasing numbers.


This is a "MUST" question, so should not be tricky by "implying Number and %".
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Re: Students from outside the province of Markland, who in any [#permalink] New post 20 Sep 2014, 14:05
Good practice for those who aim for 700+!
Re: Students from outside the province of Markland, who in any   [#permalink] 20 Sep 2014, 14:05
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