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Pebbles and Bamm-Bamm are having fun with Moonrock's "squawkie talkie" device, talking to each other from great distances. But when Fred and Barney get hold of the devices, they both mess things up in their own inimitable fashion.

Moonrock has invented a couples-matchmaking computer which he brings to Pebbles' party.

Pebbles and Bamm-Bamm enter the Bedrock Annual Masquerade Ball Contest as "Beauty and the Beast" but chaos is inevitable when Cindy and Fabian show up wearing the same costumes.

Pebbles and Bamm-Bamm and the gang attempt to help DJ Rocky Rocket get his job back at ROCK radio station by collecting records from around town with an "out-of-this-world" touch.