Find the Next Number in the Sequence

2 9 3 1 8 4 3 6 5 7 ?

What number comes next in this sequence:
7 8 5 5 3 4 4 _

What number does the below three word/phrase identify and why?
1. Deck
2. Year
3. Singing in the Rain

Can you place three balls such that the equation shown in the picture holds true?

Replace the letters of words with a number so that the below equation holds true

BASE +
BALL
---------
GAMES
----------

Rahul decided to meet Simran so he boards a local train from Bombay station. Just after the station, there is a 1km long tunnel. The train starts and is now accelerating. Rahul is a claustrophobic guy, so what is the best position for him to sit?

A man says, "Brothers and sisters, have I none, but that man's father is my father's son." Who is that man?

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?

When 99 is considered higher than 100?

John and Jacob are twin brothers. One of them is a liar whereas the other one is a truth-teller.

I called their home number and one of them picked up.
I asked. 'Does John lie?' The person replied with a yes.

Whom did I talk with, John or Jacob?