What is the next number in this series?

4,12,84,3612....

What has a ring but no finger?

Place the numbers from 1 to 9 in the circles in a manner that each side of the triangle sums up to 17.

I throw two dice simultaneously.

What is the probability of getting a sum as 9 of the two numbers shown?

In the below-given picture of a pretty girl, there is something wrong. Can you find out what it is?

Three men in a cafe order a meal the total cost of which is $15. They each contribute $5. The waiter takes the money to the chef who recognises the three as friends and asks the waiter to return $5 to the men.

The waiter is not only poor at mathematics but dishonest and instead of going to the trouble of splitting the $5 between the three he simply gives them $1 each and pockets the remaining $2 for himself.

Now, each of the men effectively paid $4, the total paid is therefore $12. Add the $2 in the waiters pocket and this comes to $14. Where has the other $1 gone from the original $15?

I want to fill my bucket using both cold and hot water.
I have two taps for both cold and hot water. The hot water tap fills the bucket in exact 6 hours and the cold water tap fills the bucket in exact 4 hours.
I turn both of them simultaneously but I forgot to turn off another tap which removes the water out of the bucket. This tap can empty the bucket in 12 hours.

How Long will it take to fill the bucket?

Guess the hidden movie name?

Considering the below equation:

V + II - VI = 10
IV - X + VIII = 20
IV - VII + VI = 30

Then, I + II + III = ?

I am the beginning of the end, and the end of time and space. I am essential to creation, and I surround every place. What am I?