Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT

Buy me, smell me or deliver me, I do not change.

Who am I?

Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

What has to be broken before you can use it?

One is to three as three is to five and five is to four and four is the magic number.
What is the pattern?

For an extra income, John decided to work at a Hotel for one hour daily. The manager offers him that they will pay him $11 after every 11 days.
However, John offered a different proposition to the manager. The offers stand as:
He will be paid just a penny on his first day.
Two pence will be paid on the second day,
Four pence will be paid on the third day.
And so on till the 11th day.

Should the Hotel manager accept his offer?

John left on a horse on Thursday , was gone for two days, and came back on Thursday after completing his work. How did that happen?

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), ___

I was speeding and ran through a stop sign, yet two traffic officers who were there do nothing about it.

why?

A person was killed at a house party. When the police arrive, there are six people present in the house who are the friends of the victim. The name of the friends is Rohit, Aman, Nick, Gagan, and Randy.

Near the dead body, they find a few numbers written with blood by the victim on the floor. The numbers are 8, 5, 4, and 11.

The police arrests one of the friends for the murder. Whom did they arrest and why?