Sunday: On Sunday both will tell the truth ( But one must be a liar)
So Sunday is not not considered.
Monday: If the day is Monday you asked the question on Tuesday so on Tuesday lion lies and Unicorn tells the truth. As Lion lies on Tues day, the Monday it should tell the truth.(Which is not correct, because on Monday, Tuesday and Wednesday Lion lies).
Similarly Tuesday, Wednesday, Friday and saturday are also not possible. The only day it is possible day is Thursday.
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