examday

/TMUA

Consider the statement about integers $n$:

$(*)$ For every integer $n$, if $n$ is even then $n^2+2n$ is divisible by $4$

Which of the following statements has the same truth value as $(*)$?

• I: For all integers $n$, if $n^2+2n$ is not divisible by $4$ then $n$ is odd
• II: There exists an integer $n$ which is even and for which $n^2+2n$ is divisible by $4$
• III: For some integer $n$, if $n$ is even then $n^2+2n$ is divisible by $4$