One day Jenifer meets the Lion and the Tiger in the Forest of Forgetfulness. She knows that the Lion lies on Mondays, Tuesdays, and Wednesdays, and tells the truth on the other days of the week. The Tiger, on the other hand, lies on Thursdays, Fridays, and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Jenifer:

Lion: Yesterday was one of my lying days.

Tiger: Yesterday was one of my lying days too.

What day is it?

The teacher told the student that if he told a lie then he will be expelled from school and if he told the truth then he still is expelled from school.

What can a student say to prevent his being expelled from school?

A high school has a strange principal. On the first day, he has his students perform an odd opening day ceremony:

There are one thousand lockers and one thousand students in the school. The principal asks the first student to go to every locker and open it. Then he has the second student go to every second locker and close it. The third goes to every third locker and, if it is closed, he opens it, and if it is open, he closes it. The fourth student does this to every fourth locker, and so on. After the process is completed with the thousandth student, how many lockers are open?

Here is a mathematical expression that also secretly tells a movie name. What movie is that?

What is the coolest letter in the alphabet?

I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?

I cannot talk, but I always reply when spoken to. What am I?

Can you find a five letter word that is left with only two letters if one is removed?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

I have teeth but i don't bite. Who Am I ?