Question

A jazz band director is selecting the songs for an evening's performance. Seven songs--F, G, H, J, Q, R, and S--will be played one after another, not necessarily in that order. Each song will be played exactly once, according to the following conditions:

F must be played immediately before or immediately after G.
H must be played immediately before or immediately after J.
S must be played fourth.
G must be played after F.
H must be played before J.
Which one of the following cannot be true?

a) F and R are played consecutively.

b) G and Q are played consecutively.

c) H and R are played consecutively.

d) J and Q are played consecutively.

e) Q and R are played consecutively.

Answer 1

To determine which pair cannot be played consecutively, analyze the given conditions for the song order. Option (a) F and R cannot be played consecutively.

Step-by-step explanation:

The question is asking which of the given pairs cannot be played consecutively. To determine this, we need to analyze the conditions given:

1. F must be played immediately before or after G.
2. H must be played immediately before or after J.
3. S must be played fourth.
4. G must be played after F.
5. H must be played before J.

If we consider option (a), F and R being played consecutively, this is not possible because G must be played after F. Therefore, option (a) cannot be true.

Similarly, if we consider options (b), (c), (d), and (e), we can find that they can all be true according to the given conditions. Thus, the answer is (a) F and R cannot be played consecutively.