Why is the Hole below a Lock?

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

What occurs twice in a week, once in a year but never in a day?

A word I know has six letters it contains, remove one letter and 12 remain. What is it?

By using 'because' continuously three times, can you make an English statement ?

In the figure, you can see nine stars. What you have to do is connect all of them by using just four line and without lifting your hand i.e. in a continuous flow.

A mile-long train is moving at sixty miles an hour when it reaches a mile-long tunnel. How long does it take the entire train to pass through the tunnel?

I am under you when I am whole.
I shift above you if you remove the first letter.
I come all around you if you remove the second as well.

Can you tell me who I am?

There is a box in which distinct numbered balls have been kept. You have to pick two balls randomly from the lot.

If someone is offering you a 2 to 1 odds that the numbers will be relatively prime, for example
If the balls you picked had the numbers 6 and 13, you lose $1.
If the balls you picked had the numbers 5 and 25, you win $2.

Will you accept that bet?

We know that the number 7 is the prime followed by a cube. Which next number is also a prime followed by a cube?