Question

A number when divided by 221 leaves a remainder 16 the remainder when same number is divided by 13

Answer 1

Step-by-step explanation:

Given :

Divisor = 221

Remainder = 18.

We know that -

Dividend = Divisor x Quotient + Remainder

Let dividend = x

x = 221 x Q + 18.

x = 221Q + 18

x = (13 x 17 x Q) + (13 x 1) + 5

x = 13(17Q + 1) + 5.

So, Remainder = 5

Hence :

If the same number is divided by 13, the remainder is 5.