Question 1027028
Assume that B is true. Then A is true, and C is false. Because three of the statements {B,C,D,E} are true, we have that D and E are true. This gives a consistent assignment of truth values to the statement.


Assume that B is false. Then A is false. Assuming exactly one of the five statements is false, we have found two false statements here, a contradiction.


Therefore C is false.