Question

A number divided by 4 gives
remainder 3. What would be the
remainder if the square of the number
Is divided by 4?​

Answer 1

We know that,
Dividend=(Divisor×Quotient)+Remainder
Let n=4q+3. Then 2n=8q+6 =4(2q+1)+2.

Thus, when 2n is divided by 4, the remainder is 2.

Answer 2

Answer:

Step-by-step explanation:

N/4 = x + 3

Multiplying both sides with 2, which gives

( 2×N )/ 4 = 2X + 6

N/2 = 2X + 6

Since, 6 is divisible by 4 and gives a remainder of 2, above statement can be written as

N/2 = 2X + 1X + 2

N/2 = 3X + 2

From here we will reach to the solution of the above problem as… 2 is remainder when 2n is divided with 4.

OR

Say N = 11

Dividing N by 4 gives you remainder of 3.

Dividing 2N i.e. 22 by 4 gives you remainder of 2.

Similarly, dividing 3N i.e. 33 by 4 gives you remainder of 1 only.

And so on so forth.