You can observe your friend’s status and see whether there is any abnormity and then judge whether he/she blocked you. If you cannot see the personalized profile picture of the person who may block you, but what you can see is the default 'Skype' avatar – well, the person stops sharing personal information with you and it is very likely that you have been blocked. If you cannot be able to see any conversations between you and him/her and the message is returned as undeliverable or is shown as processing indefinitely, then unfortunately you've been blocked by the person. Start a new chat window and send a message to the person you think has blocked you. And this is s strong sign that you have been blocked. If the icon turns to a gray question mark from the gray 'x' icon or green check mark, then the person doesn’t share his/her information with you. Open your contact list and locate the icon beside the person who you think has blocked you.
Check the Profile Picture and Contact Number