Friday, September 24, 2010

Sometimes.. when you get everything.. you think its a dream..

Why does this happen? When you get what you dreamed of, you start feeling its a dream? Why? I mean, instead of enjoying the reality, we start dreaming more and more. Instead of celebrating win, we start dreaming about celebration of win. I hope I am making some sense.

But even if I dnt any sense today, its ok. Cuz m dreaming about celebration of my win today :)

I want to wish myself.. CONGRATS SHARAT!! U DESERVED EVERY BIT OF WINNING..! CONGRATS ON ACHIEVING YOUR DREAM..! :D

It may sound ego-centric, but why can't we congratulate ourselves?

Try doing this you will feel the greatness of Wishing and Winning both.. together!!

Sunday, September 12, 2010

Quant: digital sum of 4444^4444

What is the digital sum of 4444^4444 ? Ans- 17

Solution:

Digital Sum implies that we keep on adding the digits of the result of 4444^4444 till we get a single digit number and that single digit number is the digital sum of the given number.

So, to find the digital sum of a given number, all we have to do is find the remainder when the number is divided by 9 and the remainder will be the required answer.

So, we find the remainder when 4444^4444 is divided by 9.

4444^4444 = (4446 - 2)^4444

Hence the remainder when 4444^4444 is divided by 9, is the same as the remainder obtained when 2^4444 is divided by 9.

2^4444 = {(2^3)^1481}*(2) = (8^1481)*(2) = {(9 - 1)^1481}*(2)

Hence the required remainder is: {(-1)^1481}*(2) = (-1)(2) = - 2 + 9 = 7

Thus, the digital sum of 4444^4444 is 7

Enjoy Maths.