Solution:

Congratulations

Explanation:
Message Was: Company Piano Numb Dining Racial Mozetta Traitor Meou Legacy Quintana Trick Missi Orange Frozen Sapphire

Pick the 1st letter of the first word, 2nd letter of the second word, Pick 1st letter from the third word and so on.

Company - C
Piano - O
Numb - N
Dining - G
Racial - R
Mozetta - A
Traitor - T
Meou - U
Legacy - L
Quintana - A
Trick - T
Missi - I
Orange - O
Frozen - N
Sapphire - S

Solution:

The answer is 'R'

It represents the gear stick. The number 1-5 represents gears and the last one thus should be reverse i.e. R.

Solution:

This puzzle has no answer if you are considering this figure in a 2d domain. However if you follow it on a three-dimensional plane, you can do it like shown in the figure given.

Solution:

192 021

If you look at it as two-digit numbers you'll see:10 11 12 13 14 15 16 17 18 19 20 21

Solution:

The person on 73rd number will survive.

Explanation:
Till the number is the power of 2, the last person to survive will be the one who started it. But since the number here is not the power of 2, we will take the greatest power of 2 that is less than the number which is 64.
100 - 64 = 36
36 people are killed as 2, 4, 6, ..., 72. Thus the sword will now be given to the 73rd person. Now he is the first person to start in the remaining 64 people. Thus he will be the one to survive.

Solution:

They were playing tennis.

Tiger Phil
30 - 30
40 - 30 (Phil hit a bad shot)
Game won - 30 (Tiger hit an awesome shot)

Solution:

Playing chess

Game needs two players so Brother-8 is playing chess with Brother-2

Solution:

Either your read from start or from ends, it will be same

Solution:

None

The sum of numbers from 0-9(0,1,2,3,4,5,6,7,8,9) is 45 and therefore can be divisible by 3 and 9.

Solution:

The girl was born on 29 February. Thus her birthday came once in four years only while her sister was born on a normal day and celebrated her birthday every year. Thus the girl had a chance of depositing money only 10 times in 4 years through which she collected $2500 while her sister took $50 from the piggy bank every year making the total amount to be $2000. Thus when the piggy bank was opened, it had just $500.

Solution:

Move and then pour all juice from second glass to fifth glass.