If you're 8 feet away from a door and with each move you advance half the distance to the door. How many moves will it take to reach the door?

What does this rebus mean?

O
N
C
E
TIME

I am quite hot but become too cold if you remove the first two letters. What am I?

Can you identify the Oscar-winning movie from the rebus below?

Can you calculate the probability of getting a sum of six when a dice is thrown twice?

There are three boxes. One is labeled "APPLES" another is labeled "ORANGES". The last one is labeled "APPLES AND ORANGES". You know that each is labeled incorrectly. You may ask me to pick one fruit from one box which you choose.

How can you label the boxes correctly?

I travel all around the world but always stay in the corner. What am I?

There is a basket full of hats. Three are white and two are black. Three men, Tom, Tim, and Jim, each take a hat out of the basket and put it on their heads without seeing the hat they selected or the hats the other men selected. The men arrange themselves so Tom can see Tim and Jim’s hats, Tim can see Jim’s hat, and Jim can’t see anyone’s hat. Tom is asked what color his hat is and he says he doesn’t know. Tim is asked the same question, and he also doesn’t know. Finally, Jim is asked the question, and he does know. What colour is his hat?

Different lights make me strange by changing me into different sizes. What am I?

Replace the question mark with the correct number, given the pair of numbers exhibits a similar relationship?

? : 3839 :: 11 : 1209