M : A segment can support P. That's fine. The fun begins in second statement. If segments that support P also support Q then no segment who supported Q supports R.

In our words: If P then Q then no R.

S: There is one segment that supports Q and R.

Pre-thinking: That means that one segment won't support P for sure.

Options:
A. At least one segment of the electorate provides significant support neither to Mr. Quintana nor to Mr. Ramirez. - We don't know. We just know the relationship established.
B. At least one segment of the electorate provides significant support to Ms. Puerta but not to Mr. Quintana. - That's true. Because we know some segments support P. But there has to be at least one segment that supports P but not Q for Q+R to hold true. Because if any segment supports P and Q then it cannot support R.
C. Each segment of the electorate provides significant support to Ms. Puerta. - If each supports P then Q + R will never be possible.
D. Each segment of the electorate provides significant support to Mr. Quintana. - We don't know.
E. Each segment of the electorate provides significant support to Mr. Ramirez. - We don't know.

B is the winner.!