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# Students from outside the province of Markland, who in any given acade

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Students from outside the province of Markland, who in any given acade  [#permalink]

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11 Apr 2015, 23:26
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Difficulty:

85% (hard)

Question Stats:

53% (01:51) correct 47% (01:48) wrong based on 435 sessions

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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 years, 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.

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Re: Students from outside the province of Markland, who in any given acade  [#permalink]

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12 Apr 2015, 00:51
IMO C... If the number of students from Markland have increased and those from outside decreased, then that changes the proportions.
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Re: Students from outside the province of Markland, who in any given acade  [#permalink]

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12 Apr 2015, 06:30
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C Vs E:

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?

c) Over the past 10 years, the number of students from Markland increased and the number of students from outside Markland decreased.
>> Since number of students not given we cant infer that. This is a common trick in such questions. From % we cant infer if the actual number increased or decreased.

e) If the college’s per capita revenue from tuition has remained the same, tuition fees have increased over the past 10 years.
PCR = avg fees from all students remained constant
Now to keep the figure constant when the proportion of high paying students have decreased, we need to increases the fees.

So answers seems to be E.
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Re: Students from outside the province of Markland, who in any given acade  [#permalink]

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12 Apr 2015, 07:09
2
My option will be E. Really good question. Took me around 3.5 min, but in the end worth answering such a nice question.

My though process...

1. Option A: The argument does not support this. Perhaps non Marklanders are too ambitious and took more modules and hence their tuition fee was higher.

2. Option B: The argument does not support this ideology.

3. Option C: Clearly out of scope.

4. Option D: Clearly out of scope because comparing with other colleges in Markland.

5. Option E: College percapita income remained the same, then tution fee must be higher than previous year. [Since non marklanders were paying more tuition fee, but thier number has significantly dropped].

souvik101990 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 years, 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.

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Re: Students from outside the province of Markland, who in any given acade  [#permalink]

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20 May 2016, 07:22
Folks , I have one doubt regarding option E - per capita revenue is : Total tuition revenue / Total number of people. We are told that this quantity is constant. Now , all we are told is that the proportion of outsiders has increased ; can we conclude on the basis of this that the total number of people have increased ? Unless the total number does not increase , how can the total tuition revenue increase to keep the ratio a constant ? Please help ?!?
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Re: Students from outside the province of Markland, who in any given acade  [#permalink]

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27 Dec 2017, 01:24
Yup.

It has to be E for this one. This involves some math. Now first of all the important formula.

Per Capita revenue = Total revenue(\$ values)/Number of students enrolled

Let's take small numbers to make it simple. Just a hypothetical example below:-

Non Marklanders = 3 Marklanders = 2
Fees: Marklanders = 10 Non Marklanders = 20
Total revenue = [(3x20)+(2x10)]=80
# of students = 5
Per capita revenue = 80/5=16

Now
Non Marklanders(40%) = 2 Marklanders = 3
Per capital revenue has to be 16

Fees: Non Marklanders = 20 Marklanders = 13.3

Total revenue = [(20x2)+(3x13.3)]=80
# of students = 5

Per capita revenue = 80/5 = 16

Hope this helps!
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Re: Students from outside the province of Markland, who in any given acade  [#permalink]

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25 Feb 2018, 12:02
there is no need for calculation here. All option choices other than E are out of scope.
the question is created by bible powerscore.
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Re: Students from outside the province of Markland, who in any given acade  [#permalink]

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16 Apr 2018, 21:05
souvik101990 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?

Premise: tuition fee for non-Marklander = 2 X tuition fee for Marklander
Strength of non-marklander has dropped to 40% and academic standards have risen.

Prethinking: if the strength of students is still the same, revenue from tuition fee must have dropped.

I’d go for POE

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.- not mentioned- irrelevant

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. - nothing about the cause of drop in strength is mentioned in the passage. Irrelevant

c) Over the past 10 years, the number of students from Markland increased and the number of students from outside Markland decreased.—same as optionB irrelevant

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 has been mentioned - irrelevant

e) If the college’s per capita revenue from tuition has remained the same, tuition fees have increased over the past 10 years. Now this is in line with our prethinking. Correct.
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Re: Students from outside the province of Markland, who in any given acade  [#permalink]

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31 Jul 2018, 01:47
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 years, 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.

My question:
I consistently choose C for this question. Not just this question, but all CR inference questions which involve 'percentages vs numbers'.

Why can't C be right? Why can't numbers be deduced from percentages? If percentages go down, doesn't the numbers go down too? Can someone please explain
Re: Students from outside the province of Markland, who in any given acade &nbs [#permalink] 31 Jul 2018, 01:47
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