Several friends are planning a road trip. If John goes on the road trip, then Kelly goes on the road trip. If Kelly does not go on the road trip, then Lawrence does not go on the road trip. Which of the following statements must be true?
(A) If John goes on the road trip, then Lawrence goes on the road trip.
(B) If John does not go on the road trip, then Kelly does not go on the road trip.
(C) If John does not go on the road trip, then Lawrence goes on the road trip.
(D) If Lawrence goes on the road trip, then John goes on the road trip.
(E) If Lawrence goes on the road trip, then Kelly goes on the road trip.
If Danny owns at least bikes, then Edward owns bikes. If Edward owns a bike, then Freddy owns bikes. If Danny owns bikes, which of the following statements must be true?
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only
If Aria went to the school play, then Barney also went to the school play.
If Barney went to the school play, then Carie also went to the school play.
If Barney did NOT go to the school play, which of the following must be true?
(A) I only
(B) III only
(C) I and II only
(D) II and III only
(E) None of the statements
If John calls May in class, May looks back. If Matthew pricks John in class, John calls May. If John did NOT call May in class, which of the following statements must be true?
(A) I only
(B) III only
(C) I and II only
(D) II and III only
(E) None of I, II or III
The union of sets and is the set . Which of the following statements must be true?
(A) I only
(B) II only
(C) III only
(D) II and III only
(E) I, II, and III