[quote="WinWinMBA"]19. There are at least three people in the room. At most two people in the room recognize each other. At least one person in the room recognizes everybody else in the room.

Which one of the following is NOT consistent with the above?

(A) Four people are in the room.

"at least three people in the room", could be more. Consistent.

(B) No two people in the room recognize each other.

"At most two people in the room recognize each other." Could be less. Consistent.

(C) At most one person in the room recognizes everybody else in the room.

"At least one person in the room recognizes everybody else in the room". So only one person recognizes everybody else in the room. Consistent.

(D) Anyone in the room who recognizes any other person in the room is also recognized by that person.

"At least one person in the room recognizes everybody else in the room." Say A knows B and C and other people in the room. This choice says that A would also be recognized by B and C. So A and B recognize each other, and A and C recognize each other. However, this is INCONSISTANT with "At most two people in the room recognize each other."

(E) Two people in the room recognize every one else in the room.

"At least one person in the room recognizes everybody else in the room." Could be more. Consistent.

So D.

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