Take away my first letter, then take away my second letter. Then take away the rest of my letters, yet I remain the same. What am I?

John was gifted a new Hayabusa. He drove x miles at 55mph. Then he drove x+20 miles at 40mps. He drove his bike for 100 minutes. How much distance did he travel?

You need to arrange three 7 and mathematical symbols to form number 1?

Place the numbers from 1 to 9 in the circles in a manner that each side of the triangle sums up to 17.

Three cars are driving on a track that forms a perfect circle and is wide enough that multiple cars can pass anytime. The car that is leading in the race right now is driving at 55 MPH and the car that is trailing at the last is going at 45 MPH. The car that is in the middle is somewhere between these two speeds.
Right now, you can assume that there is a distance of x miles between the leading car and the middle car and x miles between the middle car and the last car and also, x is not equal to 0 or 1.
The cars maintain their speed till the leading car catches up with the last car and then every car stops. In this scenario, do you think of any point when the distance between any two pairs will again be x miles i.e. the pairs will be x distance apart at the same time ?

A man is trapped in a room. The room has only two possible exits doors. Through the first door there is a room constructed from magnifying glass. The blazing hot sun instantly fries anything or anyone that enters. Through the second door there is a fire-breathing dragon. How does the man escape?

I know a country, If you remove the last alphabet of its name, it will become a part of your body. Do you name it?

An old Woman left INR 33,333 to be divided equally among two fathers and two sons and each was to receive INR 11,111.
How was this possible?

There are 3 apples in the basket and you take away 2. How many apples do you have now?

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