A. (n − 1)( n + 1)
If n is even , n-1 and n+1 will both be odd.
If n = 2
(n − 1)( n + 1) = 1*3 = 3
Not even
B. (n − 2)( n + 1)
If n = 4 (Even)
2*5 = 10 is even
If n = 5 (Odd)
3*6 = 18 is even
If n = Odd , n+1 will be even and n-2 will be Odd . Product will be Even
If n = even , n+1 will be odd and n-2 will be Even . Product will be Even .
C. (n − 2)( n + 4)
If n is odd , n-2 and n+4 will both be odd .Product will be Odd .
D. (n − 3)( n + 1)
If n is even , n-3 will be odd and n+1 will also be odd.
Product will be Odd .
E. (n − 3)( n + 5)
If n is even , n-3 and n+5 will both be odd .
Product will be Odd .
Answer B
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long