Question

If $N÷5$leaves remainder $3$ and $N÷2$leaves remainder $0,$ then $N÷10$ leaves remainder $4.$State whether the statement given is true(T) or false(F).

• A. True
• B. False

Answer 1

The correct option is B False

Verify the given statement:

Given that $N$ is divided by $5,$ it leaves the remainder $3.$(i.e.) $N=5n+3,$where $n=0,1,2,3,......$

Similarly, using divisibility test rule $2$ when $N$ is divided by $2$, it leaves the remainder $0.$ So $N$is an even number.

But in $N=5n+3$, the second term is odd. So, to make it even number $5n$ should be an odd number.

On substituting $n=1,3,5,....$in $5n+3$, we will get $8,18,28,......$

Now, if we divide $N$ by $10,$ we get remainder as $8$ in each case.

Hence, the given statement is false.