What mathematical symbol can be put between 5 and 9, to get a number bigger than 5 and smaller than 9?

Can you make numbers like 24, using numbers 3,3,7 & 7 with any arithmetic operator?

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?

The day after tomorrow will be three days before Tuesday. Can you find out what is today?

Something Extraordinary happened on May 6th 19778 at 12:34am what was that?

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.

If,
9 * 8 * 7 = 65
8 * 7 * 6 = 50
7 * 6 * 5 = 37

Find
6 * 5 * 4 = ?

You can see it everyday, But cannot touch it at will. What is it?

Solve this riddle by finding the odd one out from the rest.

What number does the below three word/phrase identify and why?
1. Deck
2. Year
3. Singing in the Rain