Facebook will always come up with that security check if you add friends in high frequency. So be careful. Here is what you can do to come out of it.
1. Create one Facebook account of a girl(A) to add friends and monetize it.
2. Create one more Facebook account(B), name it anything and make this as a friend to your first account.
3. Using the first account you will be adding friends. Before you confirm requests, save the link of that profile and its name in an excel file. This is an extra work but you have to do.
4. Keep adding friends and when you get this Picture Identification then this is what you have to do. Basically, you should have two computers.
5. Login with B account in one computer. Keep the excel list of friends open.
6. Login with A account in another computer and accept for verification. Some photos will be displayed with six names below.
7. In the excel file, use find and type a name given in the options. Click on the link, go to photos and see if the photos are related to that profile. Repeat the same for all the six options.
8. Get three of them right and you are in.
Good luck. And congrats for taking action.