If a and b are even integers and c is an odd integer, which of the following would be an odd integer?

a + b + c
ab - bc
a x b x c
b x c
c (a + b)

Question

If a and b are even integers and c is an odd integer, which of the following would be an odd integer?

 a + b + c 
 ab - bc 
 a x b x c 
 b x c 
 c (a + b)

debbieg · Answer

Every even integer has a factor of 2. So if you can write the expression so that it has a factor of an even integer, then it has a factor of 2, and hence, it is even.

debbieg · Answer

Eg., ab - bc = b(a-c)

Since b is a factor of the expression, and b is even, 2 is a factor of b(a - c). Thus, this one is even and CANT be odd (since it is a multiple of 2).

anonymous · Answer

thanks

debbieg · Answer

ALL of those expressions are written, or can be written, so that they are multiples of the even numbers, except for 1.