Maths-

General

Easy

Question

# If 𝑛 is an even integer, then 𝑚𝑛, where m is any other integer is

a. Odd

b. Even

c. Cannot be determined

Hint:

### Every multiple of two is an even integer so we can say that if 2 is multiplied by an odd integer then the result will be an even integer.

## The correct answer is: So, If 𝑛 is an even integer and m is any other integer then mn will be an even integer. Hence, option b is correct.

### It is given that n is an even integer and we know that every even integer is a multiple of 2. So we can write

n = 2 x (x is an integer)

Now we are given that m is an integer and we are asked to determine whether mn is odd or even. mn can be written as

mn = m 2 x

mn = 2mx

Let’s say mx = y and y is an integer. So

mn = 2y

We can see that y is multiplied by 2 and we know that every multiple of two is an even integer. So, mn will be an even integer.

Final Answer:

So, If 𝑛 is an even integer and m is any other integer then mn will be an even integer. Hence, option b is correct.

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