Successfully complete Story mode under the Detective difficulty setting.
Madame Fate's Predictions
Completing the investigations on Ron N. Hyde, Justine Time, and Manni Cotti to get a note with a riddle. You will also have a choice between six rooms. Return to the study. The Crime Computer will alert you to something else in the room. Select the blue area at the filing cabinets to the right of the fireplace to find a crystal ball and Madame Fate the fortune teller. Tap on the Crystal Ball to get various messages from her.
The Hitchhiker's Guide To The Galaxy reference
When you start the Astromalgy level, you should see the number 42 which, according to The Hitchhiker's Guide To The Galaxy, is the meaning of life, the universe, and everything.
Treasure Hunt mini-game
Successfully complete Story mode under the Detective difficulty setting.