Which number should replace the question mark?

I am a five-letter word under you,
Remove the first letter and I am above you,
Remove the second as well and I am around you.

Who am I?

Can you think of a smallest +ve number such that if we shuffle the digits of the number, the new number becomes double the original number?

Find the value of "a" by solving the maths equation in the picture below:

Four people need to cross a rickety bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. The bridge is only strong enough to support two people at a time. Not all people take the same time to cross the bridge. Times for each person: 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the bridge?

In a football game, Christina defeated Teresa by 2 - 0 but no man from either side scored. How can this be possible?

You Are Highly Attentive If You Can Spot A Hat In This Bathroom In 9 Seconds!

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

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

Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 18 MPH between the 2 friends until the friends meet.

How many miles does the pigeon travel?

The world's largest Thanksgiving turkey was on display at a fair. Everyone was admiring it when suddenly a woman ran up and shot the turkey and left. Everyone knew her yet nobody made any attempts to stop or report her. Why?