Question

A number leaves a remainder 2 when divided by 6. Then the possible remainder(s) when the same number is divided by 9 is

Answer 1

Answer:

Correct option is D)

We know,

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.