Take away my first letter, then take away my second letter. Then take away the rest of my letters, yet I remain the same. What am I?

One is to three as three is to five and five is to four and four is the magic number.
What is the pattern?

Why is it against the law for a man living in Delhi to be buried in Mumbai?

In a guessing game, five friends had to guess the exact numbers of apples in a covered basket.
Friends guessed 22, 24, 29, 33, and 38, but none of the guesses was correct. The guesses were off by 1, 8, 6, 3, and 8 (in random order).

Can you determine the number of apples in a basket from this information?

A seven-year-old kid challenged his classmates that he can make the number one disappear by adding something to it.

How can he do that?

Give it food and it will live; give it water and it will die.

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?

You have two buckets of 11 liters and 6 litres.
How can you measure exactly 8 litres?

I add 5 to 9 and get 2. The answer is correct, so what am I?

You are presented with three boxes. One of them has a red ball inside and the other two have a black ball inside each of them. You are asked to pick up the one with red ball and you pick one. Now, one of the other boxes is opened and it is found to have a black ball.

You are presented with a chance to change your box with the one that is left closed. Will you change your box? Why or why not?