Question

A whole number n which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4?.

Answer 1

When 2n is divided by 4 the remainder will be 2

Division is a simple operation in which a number is divided.

Given,

A whole number n which when divided by 4 gives 3 as remainder

We know,

Dividend = (Divisor × quotient)+ Remainder

Here,

Dividend = n

Quotient = 4

Remainder =3

Consider the divisor as a

Then,

n = 4a+3

Multiply both side by 2

2n= 2(4a+3)

2n= 8a+6

Split the term 6 and take common outside

2n= 8a+4+2

2n= 4(2a+1)+2

So, when 2n is divided by 4

Divisor = 2a+1

Remainder = 2

Hence, when 2n is divided by 4 the remainder will be 2

Learn more about division here

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