What does this mathematical rebus means ?

Alpha is Beta's sister.

Gamma is a Beta mother.

Delta is Gamma's father.

Tango is Delta's mother.

Then,

How is Alpha related to Delta?

In the image below, you can see two glasses and two matchsticks.You need to move four matchsticks in such a manner that the crosses come inside the glasses. Note: you cannot move the crossed.

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

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

The more of this there is, the less you see. What is it?

A word I know,
Six letters contain,
Subtract just one,
And twelve is what remains.

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

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?

How high do you have to count before you use the letter “a” in the English spelling of the whole number?

Solve the puzzle by telling what does below picture means.