From the book by Marty Bergen (1985), Better Bidding with Bergen — Volume One, Uncontested Auctions. 4 says let’s play in a Part Score 4 or 4 4 is asking opener to bid a singleton: responses are 4= singleton, 4= singleton, 4NT=minor suit singleton, and 5 no singleton. Depending on the location of the singleton and your hand, responder is usually interested in playing in a game, 5 or 5or a slam, 6 or 6. Example: Responder has:  A K Q x x x A K Q x  x x x With a heart singleton, you want to play in 6 otherwise you would bid 5. 4 and 4are signoffs in responders long suit. Opener must pass. 4NT is invitational to slam, asking opener to bid a minor suit slam with an extra trick. Example: Responder has like Q x x x x x  A K Q J x x x 5 asks opener to play in a game, either 5 or 5. 5 is a signoff by responder, responder knows that the opener has long diamonds and wants to play game from his side. 6 is to play slam in 6 or 6, opener is to pick the suit. Again, a bid of 6 by responder is to play slam in diamonds, responder knows that it is the long suit.

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