Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not-rounded numerals equals 24.

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

Use only one mathematical symbol and all numbers (0-9) to get a sum of 99

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?

Can you replace the question mark with the correct number?

A man and a dog were going down the street. The man rode, yet walked. What was the dog’s name?

The peacock is a bird that does not lay eggs. How do they get baby peacocks?

What is the fewest number of coins that would be required in order to make sure each and every coin touches exactly three other coins?

What is the largest number you can write with just 3 digits?

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