Bay of Bengal is in which state?

What does the following represent?

N N N N N N N

A A A A A A A

C C C C C C C

You have a roll of cloth 1km long. You have a machine which cuts this roll into pieces of 10-meter-long cloth.

How long would it take for the machine to cut the roll if each cut took 4 secs?

John was visiting his friend Jacob. He found out that his friend's wife had just killed a burglar in self-defense.
John asks Jacob about what happened and he told that "His wife was watching television when suddenly the bell rang. She thought that it is her husband Jacob but she found the burglar who attacked her instantly and she got so frightened that she killed the burglar immediately with the knife.
John asked the police to arrest his friend's wife. Why?

You can take four of the five letters out of this word, but the pronunciation never changes. What is the word?

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

This is a picture puzzle. You have to guess the name of the movie that can be related to the picture.

Sherlock Holmes was challenged to make a pre-drawn line smaller without erasing it. He did it in fractions of seconds. How?

I have cities, but no houses. I have mountains, but no trees. I have water, but no fish. What am I?

I am taken from a mine and shut up in a wooden case, from which I am never released, and yet I am used by almost every person. What am I?