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In the Business program at a university, all candidates for

by eitijan » Fri Feb 12, 2016 6:31 pm
In the Business program at a university, all candidates for the MBA in International Business who entered the program after 1990 took a seminar on Microeconomics, and all candidates for the MBA in International Business who entered the program after 1994 took a seminar on Applied Economics.

If a student in the Business program described above took a seminar on Microeconomics but did not take a seminar on Applied Economics, which of the following must be true?

a) The student entered the Business program prior to 1995.
b) The student entered the Business program after 1990 and prior to 1995.
c) If the student was a candidate for the MBA in International Business, then the student entered the program prior to 1995.
d) If the student was a candidate for the MBA in International Business, then the student entered the program prior to 1991.
e) If the student was a candidate for the MBA in International Business, then the student entered the program after 1990 and prior to 1995.
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by MartyMurray » Fri Feb 12, 2016 8:45 pm
The prompt says the following.

Candidates for the MBA in International business:
  • entered after 1990 - all took seminar on Microeconomics

    entered after 1994 - all took seminar on Applied Economics
So candidates who entered after 1994 must have taken seminars on BOTH Microeconomics and Applied Economics.

Student in the question:
  • took seminar on Microeconomics

    did not take seminar in Applied Economics
So that student was either not a candidate for the MBA in International Business or entered in 1994 or earlier.

(A) The student entered the Business program prior to 1995.

This it not necessarily the case. The student may not have been a candidate for the MBA in International Business.

b) The student entered the Business program after 1990 and prior to 1995.

The prompt does not say that no students took Microeconomics before 1990.

c) If the student was a candidate for the MBA in International Business, then the student entered the program prior to 1995.

This fits. The student did not take the seminar on Applied Economics and all candidates for the MBA in International Business who entered after 1994 took that seminar.

d) If the student was a candidate for the MBA in International Business, then the student entered the program prior to 1991.

There is no reason that this must be the case.

e) If the student was a candidate for the MBA in International Business, then the student entered the program after 1990 and prior to 1995.

This is a trap answer. Yes all Candidates for the MBA in International Business who entered after 1990 took the seminar on Microeconomics, but some who entered before 1990 may have taken it.

The correct answer is C.
Last edited by MartyMurray on Fri Feb 12, 2016 8:48 pm, edited 1 time in total.
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by eitijan » Mon Feb 15, 2016 9:42 pm
Hi Marty Murray

Thank you for the solution. But I am still not able to get convinced as to why option E is not a correct choice. As it is mentioned that Applied Economics seminar is taken by all the candidates joined after 1994 and similar is for Microeconomics for the year after 1990. So if we are inferring from Applied Economics case that, candidate must have joined after 1994, so has to be inferred from Microeconomics case as well.
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by MartyMurray » Tue Feb 16, 2016 4:39 am
eitijan wrote:Hi Marty Murray

Thank you for the solution. But I am still not able to get convinced as to why option E is not a correct choice. As it is mentioned that Applied Economics seminar is taken by all the candidates joined after 1994 and similar is for Microeconomics for the year after 1990. So if we are inferring from Applied Economics case that, candidate must have joined after 1994, so has to be inferred from Microeconomics case as well.

Actually we cannot infer that a student who took Applied Economics joined after 1994.

All that we can infer is that as student who did NOT take Applied Economics joined prior to 1995.

The prompt does not say that nobody took Applied Economics before 1995, only that all candidates for the MBA in International Business who entered after 1994 took it.

Similarly, a student could have entered before 1991 and taken Microeconomics. All that we can infer is that if the student did NOT take Microeconomics the student was either not a candidate for the MBA in International Business or entered prior to 1991.

So we cannot infer the "after 1990" part of e.

Have to watch out for those traps.
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