- The ratios for only one genre are given as 56 (Folk) : 79 (Rock) : 41 (Jazz).
- People listening to both Folk and Jazz, but not Rock, are 25% less than those listening to all three genres.
- 50 people prefer both Rock and Jazz, but not Folk.
- 35 people prefer both Folk and Rock, but not Jazz.
- People preferring only Jazz are five less than six times those who prefer Folk and Rock but not Jazz.
- Total people preferring exactly two genres is 130.

Let's solve:

1. Let the number of people who prefer all three genres be X.
2. People preferring both Folk and Jazz but not Rock = 0.75X.
3. Only Jazz = 5 + 6 * 35 = 215.
4. Total of those preferring exactly two genres: 130.
5. \(0.75X + 50 + 35 = 130 \Rightarrow 0.75X = 45 \Rightarrow X = 60\).

Calculating total who prefer Rock:
- Only Rock = 79 parts.
- Folk and Rock, not Jazz = 35.
- Rock and Jazz, not Folk = 50.
- All three = 60.
- Total Rock = 79 + 35 + 50 + 60 = 224.

Given this, the correct option for those who prefer Rock is **\(\textcolor{green}{\text{Option: 3, 540}}\)**.

YOUR ANSWER IS RIGHT