Question

Is the number we get when two numbers, one even and other odd are added or substracted together is divisible by $2$?

• A. Yes
• B. No

Answer 1

The correct option is B No

Divisibility of 2: For a number to be divisible by $2$, it should have $0,2,4,6$ or $8$ at it's unit place. Also, all even numbers are divisible by $2$.
Now,
Let us take an example:
assume even number to be $4$ and odd number be $3$.
On adding both the numbers we get $4+3=7$. And on substracting them we get $4-3=1$.

In both cases of adding or substracting we get the number as odd.
So, we can conclude that when two numbers one even other odd are added or substracted together we get odd numbers.
And, we know that odd numbers are not divisible by $2$.
So, above statement is wrong.