Read Memory Map QCT Maps With MM Tracker
XDA forum member Map Man has created an Android application, MM Tracker which is able to read QCT or Quick Chart format maps from Memory Map from your SD card and display them.
The app displays the current GPS position, records tracks and can re-load the saved records.
MM Tracker is available in a free version which has limited features and displays current position on the map and also works offline. The full version features much more including storing tracks to SD card as GPX files, draws GPS track on the map, enables screen lock and displaying the map scale.
For more information, take a look at the application thread.