If the disk is full, you'll need to move files elsewhere -- either cloud storage, external disk, dvd, etc... You might also have lots of junk on the machine - delete things you don't need and empty your recycle bin.
SOURCE: Mac book starts with blue screen startup disk full
your disk partition is having problem.if u have not taken backup then boot the system with FW mode with saperate Laptop and backup the data,then repartition the hdd and install freshly
http://support.apple.com/kb/ts1440
If you see a flashing question mark when you start your Mac, it's probably because it can't find the system software it needs to start up. Usually, all you have to do to get your Mac back up and running is remind it where its software is.
If your computer starts up normally after a brief delay, you probably just need to reselect the startup disk in Startup Disk preferences. It's normal to see the flashing question mark when a startup disk has not been selected. In most cases, reselecting the startup disk is all that is required to resolve the issue.
Sometimes, your computer may not start beyond the flashing question mark.
Tip: If your computer has a gray screen (with no flashing question mark) startup issue, see Mac OS X: Gray screen appears during startup.
Check the mouse and keyboard
This issue might occur if a mouse or trackpad button is pressed during startup. Make sure the button isn't pressed.
If the issue persists, shut down your Mac with its power button, disconnect any external mouse and keyboard, then turn on your Mac with its power button. If the flashing question mark issue persists, reconnect the keyboard and mouse.
Additional steps
If your Mac still starts to a flashing question mark, follow the steps below. If any step resolves the issue, you don't need to continue to the next one.
MacBook Air note: On a MacBook Air, there are two options for starting up from Mac OS X media: Either connect a MacBook Air SuperDrive to the MacBook Air via the USB port and restart the computer, holding down the C key during startup, or use Remote Install Mac OS X to startup from a system software DVD that's located on a partner computer. Once started up from Mac OS X media, skip to step 3.
A flashing question mark appears when you start your Mac
Symptoms
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Important: If Disk Utility finds issues it cannot repair, you may need to back up as much of your data as possible (or use Time Machine to back up to a different disk), then erase the disk and reinstall Mac OS X. You should back up important files and data before erasing a drive. Erasing deletes everything on the hard disk (including things on your desktop). Also, you can install Mac OS X onto an external disk, start from the external disk, and use Migration Assistant to transfer items from your usual internal Mac OS X startup disk to the external disk, then erase the internal disk and reinstall Mac OS X.
Check for a failing hard drive
Trying booting from the Mac OS X install disc.
insert the Mac OS X install disc.
press the start button, while holding down the "C" key on the keyboard
Once you are running from the disc. go to Disk Utilities select the hard drive click the "repair permissions" button at the bottom.
If you get any red errors listed or it doesn't seem to finish repairing the permissions you have a failing hard drive and it will need to be replaced.
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