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.




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
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

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