Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

A car meter reading shows 72927 miles a palindromic number.
what is the minimum number of miles you would need to travel to see another palindromic number on the car meter reading?

Double it and multiply it by 4. Then divide it by 8 and you’ll have it once more. What number is it?

I throw two dice simultaneously.

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

Can you find a number that lies one third of the distance between 1/3 and 2/3?

Below, you will find the mathematical proof that 10 equals 9.99999?. But is that possible or there is something wrong about it? Can you find the error?

x = 9.999999...
10x = 99.999999...
10x - x = 90
9x = 90
x = 10

Solve the mathematical equation in the picture below.

Can you make the number 24 by utilizing the numbers 1, 3, 4 and 6? You must use one number only one time and you can use mathematical operation symbols anytime anywhere.

In a classic wine shop, the list of three most popular wines are:
- The cost of 1 French wine bottle: 500$
- The cost of 1 German wine bottle: 100$
- The cost of 20 Dutch wine bottles: 100$

John entered the wine shop and he needs to buy
- All three types of wine bottles.
- Needs to buy Dutch wine bottles in multiples of 20.
- Need to buy 100 wine bottles in total.

John has only 10000$. How many wine bottles of each type, John must buy?

Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?