The 5 Backstreet Boys are asked if they want it that way. Their responses are as follows:
Backstreet Boy A: “Exactly one of us wants it that way.” Backstreet Boy B: “Exactly two of us wants it that way.” Backstreet Boy C: “Exactly three of us wants it that way.” Backstreet Boy D: “Exactly four of us wants it that way.” Backstreet Boy E: “Exactly five of us wants it that way.”
If a Backstreet Boy does want it that way, they will tell the truth, but if a Backstreet Boy does not want it that way, they will lie. Which of these statements must be false?
AIt is not necessary that at least one Backstreet Boy wants it that way.
BBackstreet Boy A is the only boy who can possibly want it that way.
CIt is not possible that two or more of the Backstreet Boys want it that way.
DIt may be possible that Backstreet Boy B wants it that way.