neelabhmahesh wrote:

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.

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

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

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

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

Explanation pls.

I'll have to go for D.

(A) Four people are in the room. (this can be true since the statement stats by saying "There are at least 3 people in a room")

(B) No two people in the room recognize each other (This can be true since the statement says "At most two people in the room recognize each other")

(C) At most one person in the room recognizes everybody else in the room. ( "True because the statement says at most one person in the room recognises everybody in the room")

(D) Anyone in the room who recognizes any other person in the room is also recognized by that person. ("This is not true because the statement does not mention this. Also remeber the use of Anyone is too extreme. GMAT most of the time prefers not to use the extreme)

(E) Two people in the room recognize every one else in the room. (This is possible because the statement provides us with this information. "At least one person in the room recognises everyone else in the room")