Question

When a number is divided by 121 the remainder is 25, if the same number is divided by 11 what will be the remainder

Answer 1

when the no. is divided by 121 then remainder 25 now divided by 11 then remainder =1

Answer 2

Let us say that the number is 'N'

We are given that when the number 'N' is divided by 121, the remainder is 25

=> Remainder [N/121] = 25

=> N = 121*k + 25 {Where 'k' is a whole number}

Now, we are dividing N by 11 and trying to find out the remainder

=> We are trying to find out Remainder [N/11]

= Remainder [(121k + 25) / 11]

= Remainder [121k / 11] + Remainder [25 / 11]

= 0 + 3 = 3

So, the required remainder that we are looking for is 3