When monkey rotate the gear, which mark will be hit 1 or 2 ?

Which statement is true out of the following?
One statement here is false.
Two statements here are false.
Three statements here are false.

Out of four images which one is the odd one out?

I am white when I am dirty, and black when I am clean. What am I?

John is found dead in his office at his desk. The police have narrowed the suspects down to three people: Mrs. Jacob, John’s wife Hena and his business partner Jason . All three visited John on the day of his murder, but all three provide the police with stories of explanation as to the reason for their visit.
Police found John with his wrist watch still on his right arm, a torn up picture of his wife laying on the floor beside the trash can, and an ink pen in his right hand. On the desk, the police found a name plate, a telephone that was off the hook, and a personal calendar turned to the July 5th page with 7B91011 written on it. After examining this evidence, the police knew their suspect. Who was it ?

Before reading ahead, you must know the fact that only one of the people here is telling the truth.

A says that B is lying.
B says that C is lying.
C says both A and B are lying.

Can you find out who is speaking the truth?

I am the fastest animal but cannot climb the tree. What am I?

An infinite number of mathematicians are standing behind a bar. The first asks the barman for half a pint of beer, the second for a quarter pint, the third an eighth, and so on. How many pints of beer will the barman need to fulfill all mathematicians' wishes?

You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?

You are given four results as below:
1111 = F
2222 = E
3333 = T
Then, can you find out how to code 4444?