A logic riddle

[Alex.vollenga]

Have you ever run onto this one?
"Mark with Y or N all the below statements in such a way that they are all true:
At most 1 statement is true
At most 1 statement is false
At most 2 statements are true
At most 2 statements are false
At most 3 statements are true
At most 3 statements are false
At most 4 statements are true
At most 4 statements are false
At most 5 statements are true
At most 5 statements are false"

I have seen its variation with "exactly" and 1-10 but this one seems a bit odd to me! I already tried some combinations but didn't get anywhere because I can't figure out the exact interpretation of "at most". For example, can 1 and 3 be true at the same time? I guess yes.
I was told this first appeared in a Kwant magazine, some decades ago.

Any ideas?

Many thanks,
Alex