Question

Given the set $S$ whose elements are zero and the even integers, positive and negative. Of the five operations applied to any pair of elements : $\left(1\right)$ addition $\left(2\right)$ subtraction $\left(3\right)$ multiplication $\left(4\right)$ division $\left(5\right)$ finding the arithmetic mean (average), those operations that yield only elements of $S$ are

• A. All
• B. $1,2,3,4$
• C. $1,2,3,5$
• D. $1,2,3$
• E. $1,3,5$

Answer 1

The correct option is D $1,2,3$

Addition, subtraction, and multiplication with even integers always yield even integers.