folders have groups of permissions.
owner
group
world (called other things)
Each of those has the ability to Read, Write, and eXecute.
The whole thing can be represented by one 3 digit number in octal format, (eg. 666, 777) or as a string rwxrwxrwx.
You can type in ls -lt in the command prompt and it will list the directories along with the permission as a string.
Anyway, he is asking if the world has the ability to Write to the directory.