Is the switch On or Off ?

Let there be n numbered switches. Suppose scientist Dalton operated 1st switch for 1 time, 2nd for 2 times, 3rd for 3 times.........................thus he operated n th switch for n times. If a switch gets Off from On, then the next switch is operated automatically.

If all the switches were Off at first,
Then how many switches were On at last?

What is the 2010th term?

Today's math problem is only for fun and intellect. Here is the problem stated below.

If a number goes forward by natural numbers such like 123456789101112131415.............................9999, then what is the 2010th term(digit) of this number?

Please find the digit with proof.

(The answer will be published soon).

Try First

Hello, Everyone!

Welcome to my own math-world.

Please try to prove that 1=2 as many as you can.