A word I know has six letters it contains, remove one letter and 12 remain. What is it?

Solve the equation in the image by looking at the pattern closely.

What am I?

Can you find a pattern and the missing number in the series given below?

100, 155, 258,? , 584, 819.

Why do you find that most of the buildings are deprived of the 13th floor?

I went to the bookshop and spent one-half of the money that was in my purse.

When I came out, I found that I had as many cents as I had dollars and half as many dollars as I had cents when I went in. Find the money in my purse when I entered the store.

Lifeless eyes on my smiling face and watch your child's sleeping place. In their dreams they hold me tight. What am I?

There are five people. One of them shot and killed one of the other five.
We know following clues:
1. Dan ran in the NY City Marathon yesterday with one of the innocent men.
2. Mike consider being a farmer before he moved to the city.
3. Jeff is a top notch computer consultant and wants to install Ben new computer next week.
4. The murderer had his leg amputated last month.
5. Ben met Jack for the first time six months ago.
6. Jack has been in seclusion since the crime.
7. Dan used to drink heavily.
8. Ben and Jeff built their last computers together.
9. The murderer is Jack's brother. They grew up together in Seattle.

Consider yourself to be a famous detective "Sherlock Homles", Can you find the killer?

Can you name some countries which do not have the alphabet 'A' in them?

How many pluses should we put between the digits of 987654321 to get a total of 99, and where?