What you cannot hold but it is yours?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

You stand in front of two doors. A guard stands next to each door. You know the following things: one path leads to paradise, the other leads to death. You cannot distinguish between the two doors. You also know that one of the two guards always tells the truth and the other always lies. You have permission to ask one guard one question to discover which door leads to paradise. What one question would you ask to guarantee you enter the door to paradise?

12345 a famous South Indian actor
567 is a path in jumbled form
8 & 10 are same letters
9 is one among the first six alphabets.
WHO AM I?

In a competitive exam, each correct answer could win you 10 points and each wrong answer could lose you 5 points. You sat in the exam and answered all the 20 questions, which were given in the exam.
When you checked the result, you scored 125 marks on the test.

Can you calculate how many answers given by you were wrong?

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?

I was speeding and ran through a stop sign, yet two traffic officers who were there do nothing about it.

why?

John was driving a bus and got stuck when passing through an underpass. Then came Jacob with a needle and got the bus out of the underpass.

What did the boy do?

Can you find a five letter word that is left with only two letters if one is removed?

They are the five precious gems of an everyday sort and all can be found on a Tennis Court. Who are they?