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

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.

What word begins and ends with an E, but has only one letter?

Find the next number in the sequence

1, 2, 6, 21, 88, __?

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

Find the next number in the following series:
6, 14, 26, 98, __?

What does below pictogram mean?

In a mathematical quiz, you are asked the following question:

Use three 9s in a mathematical expression without dividing or multiplying to form the number one.

Can you answer the question?

In a kingdom, King George did not allow any citizen to visit the world outside. Also, only a person with proper paperwork was allowed to enter or he was sent back. A wooden bridge was what connected the kingdom to the world. The king had appointed a sharpshooter who would check the every five minutes on the bridge to check. After checking, he would go back to his hut and return exactly after five minutes again. The bridge took 9 minutes to cross.

A merchant was able to escape the kingdom without harming the shooter. How?

Prove that twice of ten is the same as twice of eleven.