nahid78 wrote:
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 1994.
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.
Explain plz...
Okay. I would argue against E being the correct answer, and for C being the correct answer.
The argument states that
1. ALL MBA IB students after 1990 took Micro Econ.
2. ALL MBA IB students after 1994 took App Econ.
Does 1 mean that NO MBA IB STUDENT TOOK MICRO ECON BEFORE 1990?Certainly not. Yes, we know for certainty that each and every MBA IB student took Micro Econ after 1990, but we cannot conclude the above. This similar reasoning goes for statement 2 also.
And thus, we cannot say for certainty that the student entered between 1990 and 1994, inclusive. But, we can certainly say that the student entered before 1994 because he/she did not take App Econ, because we know that each and every MBA IB took App Econ.
What's the source?
Expert comments welcomed.