Can you solve the below algebraic mathematical equation?

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

How can you make number one disappear by adding something to it?

Manish and Manoj play 5 games of chess.
Both Manish and Manoj win the exact same number of games. There is no tie at all.

How?

A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

If you're 8 feet away from a door and with each move you advance half the distance to the door. How many moves will it take to reach the door?

That attorney is my brother, testified the accountant.

But the attorney testified he didn't have a brother.

Who is lying?

Find The Next Number in the series:

12 13 15 17 111 113 117 119 123 ?

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

How is this possible?

There is one thing that goes round the house and also inside the house but never even share a brief touch. What is it?

A chess tournament is taking place on knock-out terms (the one who loses the match is out of the game).
(a) If 10 matches are played in total, how many players participated?
(b) If 20 players took part in the tournament, how many matches were played?