What begins with T, ends with T, and has T in it?

I am a type of word that is spelt incorrectly or used differently, on purpose for humour. What am I?
Hint 1: You can find me in a joke.
Hint 2: I am a play on words.

The following alphametic has only one solution. Can you find it?
ENLIST + SILENT + LISTEN = ANAGRAM

PS: You may start the number from 0.

He runs but never walks. Murmurs, but never talks. Has a bed, but never sleeps. And has a mouth, but never eats?

A cat had three kittens: Snophy, Topsy and Jorden. What was the mother's name?

What building has the most stories?

Find the smallest sentence with all the English alphabet.

A bomb exploded in a room full of married couples and no one died. How?

Prove that the below maths equation is true.

8 + 8 = 91

There are three houses in a straight row. One is red, one is blue, and one is white. The red house is left of the middle. The blue house is right of the middle. Where's the white house?