Question

In this multiplication problem every O stands for some odd digit and every E stands for some even digit. What is the product of the multiplication equal to?

Answer 1

Even

Explanation:

Given

`E = Even`

`O = Odd`

Required

What is the result of
`O * E`

Literally, multiplication means addition in a number of places.

So:

`O * E = O_1 + O_2 + ..... +O_E`

The result
`O_1 + O_2 + O_E` will be an even number

Take for instance:

`3 * 4 = 3 + 3 + 3 + 3`

`3 * 4 = 12`

So: when a number is added to itself in an even number of times, the result is always even

Hence:

`O * E = E`