The answer is 5 , please explain how ?

Dear Student, 
If a number is divisible by 16, then the same number will definitely divisible by 8.
when a number, N divided by 16 leaves remainder 5, 
​​​​​​Then the same number, N when divided by 8 will also leave the remainder 5.

OR

As N when divided by 16 leaves remainder 5,
then N= 16n+5, where n is a positive integer.
We can rewrite the above equation as 
N = 8 (2x) + 5
as n is positive integer, then 2x will also be positive integer.
let 2x = y 
N = 8y+5
Thus, N when divided by 8 leaves remainder 5.
​​​​​​​​​​
Regards
​​​​

  • 0
What are you looking for?