Question

When 'M' is divided by 6 it leaves a remainder 2 and when 'N' is divided by 6 it leaves a remainder 3. What will be remainder if 'M-N'
is divided by 6 ? (M>N)
1
2
4
5​

Answer 1

Answer:

The remainder of m – n divided by 6 is 5

Solution:

The question says that when m is divided by 6, it leaves remainder 2, which means  

m = 6p + 2, P being the quotient of the division

Similarly, for when n is divided by 6, it leaves remainder 3, which means

n = 6q + 3, P being the quotient of the division

Now dividing m – n by 6 we get remainder as X, now to find the value of X, we use  

m – n = ((6p + 2) – (6q + 3)) + X

m – n = 6p -6q – 1 +  X

Now we can say that 6p -6q – 1 + X, can be written as 6(p – q) – 1 + X,  

therefore dividing it by 6 we get  

= (6(p-q))/6  -  (1+X)/6

Now if (1 + X) was completely divided by 6 then the value of the division be 1.

Hence the value of X is 5

Therefore, the remainder of m – n divided by 6 is 5.

Hope it helped you...

Answer 2

Answer:

=6p+2

=6q+3

m-n=[(6p+2)-(6q+3)]+X

m-n=6p-6q-1+X

=[6(p-q)]/6-(1+X)/6

=5

Here is your answer dear hope this helps you betterly.

:-D