What do you answer even though it never asks you questions?

Look at the below sequence of letters and tell us what the next letter should be:

O T T F F S S ?

I am looking for a word that change both gender and number when i add the letter 'S'.

What Word am I Looking For ?

What number divided by 4 is the same as that number minus 4?

If six children and two dogs were under an umbrella, how come none of them got wet?

Katniss and Peeta are liars. They both lie on some specific days.

Katniss lies on Fridays, Saturdays and Sundays. She speaks the truth on all other days.

Peeta lies on Tuesdays, Wednesdays and Thursdays. He speaks the truth on all other days.

Can you tell that one day of the week when both of them will say "Tomorrow, I will lie."?

In the following series, a set of numbers is progressing with a particular pattern. Can you deduce that pattern and find the missing set?

(2 + 6), (21 + 6), (58 + 6), (119 + 6), ___

If you remove one from eleven, it becomes ten. If you remove one from nine, it becomes ten.

How is this possible?

One day, I thought of ways that can be used for creating a palindrome. So I decided that I will turn into a larger number by adding the reversed digits to the original number and keep doing it till I finally obtained a palindrome.

I am not sure if this process will always result in a palindrome eventually but I was able to produce a four-digit palindrome. Can you guess my starting number?

Two batsman each on 94 runs. Seven runs needed to win in last 3 balls. Both make 100*. How?