What is at the end of a rainbow?

I start and end with 500 and carry a 5 in my heart. But I require the first letter and the first number to be complete. I am the name of a King.

Who am I ?

Can you spot the hidden girl in the picture below?

What number divided by 4 is the same as that number minus 4?

Solve the counting riddle by identifying the number of triangles in the given picture.

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

You are trapped in a room with two doors. One leads to certain death and the other leads to freedom. You don't know which is which.
There are two robots guarding the doors. They will let you choose one door but upon doing so you must go through it.
You can, however, ask one robot one question. The problem is one robot always tells the truth, the other always lies and you don't know which is which.
What is the question you ask?

Which number comes next in the number series?

2, 9, 30, 93, ?

There are seven sisters in a house in a village where there is no electricity or any gadget.

Sister-1: Reading Novel
Sister-2: Cooking
Sister-3: Playing Chess
Sister-4: Playing Sudoku
Sister-5: Washing clothes
Sister-6: Gardening

what is Sister-7 doing ?

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