Baseball bat and ball cost $100. If the bat cost $99 more than the ball, what is the cost of each?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

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?

What does this mathematical rebus means ?

Can you write down eight eights so that they add up to one thousand?

Can you find out which number multiplied by itself will give the output as 12345678987654321?

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

My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?

Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

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