Question

The product of an odd number and an even number is an ............ number.

Answer 1

The numbers 3, 7 , 11 etc. are odd numbers and the numbers 8, 10, 12 etc. are even numbers.
Now observe the following:
3 $\text{×}$ 8 = 24, 3 $\text{×}$ 12 = 36, 7 $\text{×}$ 2 = 14, 7 $\text{×}$ 8 = 56, 11 $\text{×}$ 12 = 132, 11 $\text{×}$ 10 = 110 etc.
Here, the last digits of 24, 36, 14, 56, 132, 110 ... ends with 0, 2, 4 or 6.
We know that, the number whose last digits is 0, 2, 4, 6 or 8 is an even number.
Thus, 24, 14, 36, 14, 56, 132, 110 etc. are all even numbers. Hence,
The product of an odd number and an even number is an even number.