Here is a beautiful argument..
Lets Say Halima lies only Mondays and the other six days she tells the truth. One day she said,
"TODAY IS MONDAY AND I AM MARRIED". Is she Married? was it really Monday?
Solution is up to you.....
my first take,
If she is not married and she is lying then the day must be MOnday since she lies only Mondays.
continue and until you solve this puzzle...