Carcass wrote:
On a square gameboard that is divided into n rows of n squares each, k of these squares lie along the boundary of the gameboard. Which of the following is a possible value for k?
A. 10
B. 25
C. 34
D. 42
E. 52
Let's begin with an n by n square
We can divide the squares lying along the boundary of the game board into
4 groups of
n-1 squares.
So, the total number of squares lying along the boundary of the gameboard = k =
4(n - 1)Since k must be a multiple of
4, the correct answer must be E (since that's the only answer choice that's divisible by
4)
Answer: E