First, Single throws an exception if there is more than one element satisfying the criteria. Second, your criteria should only check if the Correct property is true. Right now, you are checking if a is equal to a.Correct (which will not even compile).
You should use First (which will throw if there are no such elements), or FirstOrDefault (which will return null for a reference type if there isn't such element):
// this will return the first correct answer,
// or throw an exception if there are no correct answers
var correct = answers.First(a => a.Correct);
// this will return the first correct answer,
// or null if there are no correct answers
var correct = answers.FirstOrDefault(a => a.Correct);
// this will return a list containing all answers which are correct,
// or an empty list if there are no correct answers
var allCorrect = answers.Where(a => a.Correct).ToList();