Question

A number when divided by 6 leaves a remainder 3. When
the square of the number is divided by 6, the remainder is
3.
a.
True
b. False​

Answer 1

Step-by-step explanation:

We know,

Remainder formula: Dividend = Quotient x Divisor + Remainder.

Let x=6q+3

Then, x² = (6q+3)²

=36q² + 36q+9

= 6(6q²+6q+1)+3

Thus, when x² is divided by 6, then remainder =3.

Thus, the statement is true.