**Q.)What is the remainder when is divided by 6?**

A)0

B)2

C)3

D)4

Solution : can also be written as

=

Now, If we divide Numerator and Denominator by 2, then find out remainder , then in the remainder we will have to multiply by 2.

So, dividing Numerator and Denominator by 2 , We get

=

=

= -1 which means the remainder will be 3-1 = 2

So, the actual remainder = 2X2 = 4(Because we had divided by 2 in Numerator and Denominator)

Hence, OPTION(D)