Explanation

An art gallery is creating a display featuring four abstract art paintings and three scenery paintings. The only abstract art paintings considered are A, B, C, D, E, and F; the only scenery paintings considered are J, K, L, M, and N.

• If A is displayed, then neither B nor L can be displayed.
• B is displayed only if D is shown.
• C cannot be displayed unless J is displayed.
• K can only be displayed if K is displayed.
• If L is displayed, then M must be displayed.
• N cannot be displayed unless D is not displayed.

 If F is displayed, which one of the following must be true?
A. A is not displayed.
B. B is not displayed.
C. K is not displayed.
D. L is displayed.

If both B and E are displayed, then which one of the following CANNOT be a partial list of items displayed?
A. C, D, E
B. C, J, M
C. C, D, M
D. C, J, K

Each of the following could be displayed together EXCEPT:
A. B and K
B. B and F
C. B and M
D. E and F

If B is displayed, which one of the following is a list of items that could also be displayed?
A. A, M, N
B. C, E, F
C. C, L, M
D. E, J, M