If Paul comes to the party, Quentin leaves the party. If Quentin leave

Question

If Paul comes to the party, Quentin leaves the party. If Quentin leaves the party, either Robert or Steve asks Alice to dance. If Alice is asked to dance by either Robert or Steve and Quentin leaves the party, Alice accepts. If Alice is asked to dance by either Robert or Steve and Quentin does not leave the party, Alice does not accept.

If Quentin does not leave the party, which of the following statements can be logically deduced from the information given?

(A) Robert asks Alice to dance.

(B) Steve asks Alice to dance.

(C) Alice refuses to dance with either Robert or Steve.

(D) Paul does not come to the party.

(E) Alice leaves the party.

Source:  Master GMAT

Utbhushan · Answer

The answer is D .. 
as c cant b the answer because no one asked her to dance .. unless until quentin leaves no one is going to ask alice to dance. N if no one asks her.. how can she refuse

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stne · Answer

If Quentin leaves the party, either Robert or Steve asks Alice to dance, this does not mean if Quentin does NOT leave the party Robert or Steve will NOT ask Alice to dance.
For if it meant so then the argument would contradict itself.
If Alice is asked to dance by either Robert or Steve and Quentin does not leave the party, Alice does not accept. - This statement could not be possible unless it is possible that Quentin has not left the party but still Alice was asked for a dance either by Robert or Steve.

How can we rule out C?

Mick1005 · Answer

What if Paul is already in the party and then Quentin comes? Shouldnt we consider this case also.? So D cant be the answer

Sajjad1994 · Answer

Official Explanation

We can summarize the information, using capital letters to represent each statement:

If P, then Q.
If Q, then R or S.
If R or S, and if Q, then A.
If R or S and if not-Q, then not-A.

where P represents  “Paul comes to the party,”  Q represents  “Quentin leaves the party,”  R represents  “Robert asks Alice to dance,”  S represents  “Steve asks Alice to dance,”  (and conversely R represents  “Alice is asked by Robert to dance”  and S represents  “Alice is asked by Steve to dance” ), and A represents Alice accepts. If we have not-Q, then we can deduce notP from the first statement; thus, we have  (D).

(A), (B),  and  (C)  are incorrect since there is no necessity that Robert or Steve ask Alice to dance.  (E)  is incorrect since this statement is different from our other statements and must be assigned a different letter, perhapsX. Notice that  “Alice will accept . . . ”  tells us nothing about whether Alice leaves the party.

The correct answer is (D).

If Paul comes to the party, Quentin leaves the party. If Quentin leave

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If Paul comes to the party, Quentin leaves the party. If Quentin leave

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