Can you solve below mathematical equation?

2^1234 - 2^1233

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?

What can run but never walk, have a mouth that never speaks, have a head that never weeps, and have a bed but never sleeps?

It has a long neck, A name of a bird, Feeds on cargo of ships, It's not alive,

What is it?

what does the below math rebus puzzle mean?

People put me on the table and cut me but do not eat me. What am I?

You have two bottles of pills marked with labels A and B. The pills are identical. The doctor has asked you to take one A pill and one B pill daily. You cant take more or less than that.

While taking out the pills one day, you took out one pill from A and by mistake took out two from B. You have no idea which pill is which now.

You cant throw away the expensive pills. What will you do now?

Which statement is true out of the following?
One statement here is false.
Two statements here are false.
Three statements here are false.

How many triangles can you count in the figure given?

Different lights make me strange by changing me into different sizes. What am I?