Two batsman each on 94 runs. Seven runs needed to win in last 3 balls. Both make 100*. How?

Rearrange the letters in "new door" to make one word.

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

Buy me, smell me or deliver me, I do not change.

Who am I?

John and Jill are madly in love with each other. To remind Jill of his pure love, John wants to send her a ring by post but in their country where burglary is quite prominent, any package that is not locked comes under the risk of being stolen for the contents.

John and Jill possess many padlocks but neither one of them has the other key.

Can you find a way John can send the ring to Jill safely?

A newspaper is supposed to have 60 pages, but pages 24 and 41 are missing.
Which other pages won't be there?

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

I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?

What is the fewest number of coins that would be required in order to make sure each and every coin touches exactly three other coins?

A man was found murdered on Sunday morning. His wife immediately called the police. The police questioned the wife and staff and got these alibis: The Wife said she was sleeping. The Cook was cooking breakfast. The Gardener was picking vegetables. The Maid was getting the mail. The Butler was cleaning the closet. The police instantly arrested the murderer. Who did it and how did they know?