Which among the following represents a sum of 3 consecutive even integers?  Choose the most appropriate option:
A) 200 B) 303 C) 400 D) 564 E) 571
Sum of three consecutive Even Integers must be a multiple of 2 as well as a multiple of 3 because such a sum is always 3 times the middle number (applicable to all equally spaced numbers)   Divisibility of 3: Sum of the digits of the number must be divisible by 3   Divisibility of 2: Unit digit of the number must be divisible by 2   A. 200NOT A MULTIPLE OF 3 SO RULED OUT   B. 303NOT A MULTIPLE OF 2 SO RULED OUT   C. 400NOT A MULTIPLE OF 3 SO RULED OUT   D. 564 A MULTIPLE OF 3 and 2 THE CORRECT ANSWER!!!   564
<result>D</result>
Which among the following represents a sum of 3 consecutive even integers?