What word is represented by this rebus?

There are three light switches outside a room. One of the switches is connected to a light bulb inside the room.
Each of the three switches can be either 'ON' or 'OFF'.

You are allowed to set each switch the way you want it and then enter the room(note: you can enter the room only once)

Your task is to then determine which switch controls the bulb?

I have Rs.50 and I spend it in the way as below.

Move three sticks of the spiral below to form a square.

Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

If,
29 - 1 = 30
9 - 1 = 10
14 - 1 = 15

Based on similar logic, Can you prove that the below algebraic equation is true?
11 - 1 = 10 ?

Check out the number list below and find what number comes next in the sequence.

111 , 113 , 117 , 119 , 123 , 137 , ?

81 x 9 = 801. What must you do to make the this equation true?

I am a type of vehicle that has two wheels and is powered by humans. What am I?
Hint 1: You can ride me for exercise.
Hint 2: I am environment-friendly.

Can you find a number that lies one third of the distance between 1/3 and 2/3?