Question

A number when divided by 6 leaves remainder 3 when the square of the same number is divided by 6 find the remainder

Answer 1

Answer:

Step-by-step explanation:

Still the remainder would be 3 itself.

We can take the example of 9 as dividend.

9÷6= quotient =1 and remainder =3

9^2 ÷6 = quotient=13 and remaindet=3

Answer 2

Answer:

Remainder formula: Dividend = Quotient x Divisor + Remainder.

Let x=6q+3

Then, x  2  =(6q+3)  2

 =36q  2 +36q+9

=6(6q  2 +6q+1)+3

Thus, when x  2   is divided by 6, then remainder =3.