'Sign in to iCloud' pop-up won't stop popping up on my iPad This is obviously a common problem but even after following the 're-boot' advice I can't get rid of it.  I can't sign in to iCloud because that e-mail address no longer exists and I can't receive the reset e-mail; the 'forgotten password' system rejects my password, my date of birth and my favourite band - all of which are well known to me.  Can anyone help me, please?
The workable solution (until you get to the Apple store, that is):

Step 1. enter the wrong password and press done until you are presented with the option to reset.

Step 2. press reset and wait until safari is opened.

Step 3. double-click the home button to get the list of opened apps. 

Step 4. kill all of the opened apps including the reset password page.

Your iPhone will work until the next restart.