Replace the letters of words with a number so that the below equation holds true

BASE +
BALL
---------
GAMES
----------

The dirtier I get, the whiter I look. Who am I?

Some friends went on a vacation to a resort. It was raining heavily and it kept raining for thirteen days.

When it rained in the morning, the afternoon was beautiful and when it rained in the afternoon, the day was blessed with a clear morning.

Overall, the friends experienced eleven nice mornings and twelve nice afternoons. Can you find out the number of days they spent on vacation?

Can you decipher the two rows to find the hidden word?

Replace the question mark with the correct number below.

Rectify the following equality 101 - 102 = 1 by moving just one digit.

Can you find out the missing number in the grid?

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?

When I asked a girl's name she told me her name is the date '07/09/2001'.

I thought for a few seconds and then I got her name. Do you?

There are a number of books on a shelf. If one book is the 4th from the left and 6th from the right, how many books are on the shelf?