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From among nine classes, a MBA student will select six to attend in the fall semester. The classes are organized into three categories. Of the classes, three-A, B, and C-are on accounting, three-D, E, and F-are on management, and three-G, H, and I-are on finance. At least one class will be selected from each category. The MBA student selects the classes according to the following conditions:
If G is selected, neither C nor E is selected. If I is not selected, E is selected. At least one class on finance will not be selected.
1. Which one of the following could be a complete and accurate list of the classes that the student selects?
(A) A, B, C, D, E, F (B) A, B, C, D, E, H (C) A, B, C, D, F, H (D) A, B, C, D, G, I (E) A, B, D, G, H, I
2. If exactly one of the classes on management is selected, then which one of the following is a complete and accurate list of the other classes that must also be selected?
(A) A, B, C, H (B) A, B, C, D, I (C) A, B, E, H, I (D) A, B, C, G, H (E) A, B, C, H, I
3. Which one of the following must be true?
(A) A is selected. (B) C is selected. (C) H is selected. (D) Of at least one of the three categories of classes, exactly two classes are selected. (E) Of at least one of the three categories of classes, exactly three classes are selected.
4. If exactly two classes from each category are selected, then which one of the following must be true?
(A) B is selected. (B) D is selected. (C) I is selected. (D) E is not selected. (E) H is not selected.
5. Each one of the following is a pair of classes that could be among the classes selected EXCEPT:
(A) A, I (B) B, D (C) B, F (D) G, H (E) G, I
6. Each of the following, if known, would fully determine the selection of the six classes EXCEPT:
(A) B and C are not selected. (B) B and H are not selected. (C) C and F are not selected. (D) E and H are not selected. (E) F and I are not selected. |
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