Analytical Example with Answer Keys

Questions 1-4: An editor must select 5 articles to be published in the upcoming issue of an arts review. The only articles which is available for publication are theater articles F, G, H and J, and dance articles K, L, M and O.

At least three of the five published articles must be dance articles.

If J is selected, then M cannot be.

If F is selected, then J must also be selected.

1.    If M is not selected for the issue, which of the following must be selected?

A.       F

B.       G

C.        H

D.       J

E.        K

2.    How many acceptable groupings of articles include J?

A.       One

B.       Two

C.        Three

D.       Four

E.        Five

3.    The selection of which article makes only one group of articles acceptable?

A.       F

B.       G

C.        J

D.       L

E.        M

4. If G is selected for the issue, which of the following must be true?

A.       J is not selected

B.       Exactly three dance articles are selected

C.        H is not selected

D.       All four of the dance articles are selected

E.        F is not selected

Answer Keys: 

1. E        2. C       3. A      4. E