Friday, February 25, 2011

Number, Reminder & Mystery

There is a number N

If N is divided by 7 the remainder is 1, it can be shown as mod operator.

N%7=1

N%9=2

N%11=3

What is N?


the way to find the answer is the trail and error method. for that start with the 7 .check the 7+1 =8, 7*7+1=50, and 7*7*7+1=344. check the number 344 with 9 and 11 it gives the remainders 2 and 3 respectively. so 344 is the one of the required number . to calculate the remaining numbers the formula is lcm(7,9,11)*any real number + 344.
so the answer is the numbers 693*x+344. where x=0,1,2,……

1 comment:

Shashank Mani said...

. Let write some multiple
The multiple of 7 plus 1 are as follows
8,15,22,29,36,43,50,57,64,…….,337,344,351,…..
The multiple of 9 plus 2 are as follows 11,20,29,38,47,56,65,74,………,335,344,353…..
The multiple of 11 plus 3 are as follows
14,25,36,47,58,69,80,91,……..,333,344,355…

So, 344 is the number that is in common in all the three series so the number is 344.