For which of the following conditions will the sum of integers m and n always be an odd number?

F. m is an odd integer

G. n is an odd integer

H. m and n are both odd integers

J. m and n are both even integers

K. m is an odd integer and n is an even integer

Option K

m is an odd integer and n is an even integer

Step-by-step explanation:

The sum of intergers when one is even and another is odd results into an even number. Take for example, if x is even and the next number x+1 their sum will be 2x+1. The presence of + 1 at the end shows the number is not divisible by 2 hence an odd number.

Practically, if you add 2+3=5 and 2 is even number while 3 is odd, clearly the sum being 5 is an odd number.

Otherwise, if you add two even numbers or two odd numbers the sum will be an even number.