Can you find a number that lies one third of the distance between 1/3 and 2/3?

You’re out on the water and see a boat filled with people. You look away for a second and look back again, but this time you don’t see a single person on the boat. Why? Hint: The boat did not sink.

Replace the question mark with the correct number in below Picture:

Find The Next Number in this series.
1, 2, 6, 42, 1806 ?

81 x 9 = 801. What must you do to make the this equation true?

You are playing as white and given four rooks to checkmate the black king in four moves with the following rules 1. You can place one rook every move and ensure the black king should be in check position.2. After four moves the black king should be in the checkmate position.

A donkey is behind another donkey
I'm behind that second donkey
But there is a whole nation behind me

It is a murder you can describe in a word.

If Rajina's daughter is my daughter's mom, who am I to Rajina?

You have three orange, two pink and five purple balls in the drawer beside your bed. There is no electricity and the room is entirely dark. How many balls must you take out to ensure at least one ball of each colour at least?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?