36
32
30
28
Answer is Right!
Answer is Wrong!
The correct answer is (d).
Let $x$ be the smallest of the four consecutive even numbers. Then the other three numbers are $x+2$, $x+4$, and $x+6$. The average of these four numbers is $x+(x+2)+(x+4)+(x+6)/4=4x+12/4=x+3$. We are given that the average is 28, so $x+3=28$ and $x=25$. Therefore, the largest of the four consecutive even numbers is $x+6=\boxed{31}$.
Here is a brief explanation of each option:
- Option (a): 36 is not a consecutive even number.
- Option (b): 32 is not a consecutive even number.
- Option (c): 30 is not the largest of the four consecutive even numbers when the average is 28.
- Option (d): 31 is the largest of the four consecutive even numbers when the average is 28.