1000 DS section 7 #23

[rookiez]

23. If x is an integer, is (x + p)(x + q) an even integer?
(1) q is an even integer.
(2) p is an even integer.

OA E

[Morgoth]

odd + odd = even
even + odd = odd

odd*even = even
odd*odd = odd


the equation is (x+p)(x+q)

if you look at the above odd-even relations, then you will know that we need to know the values of p, q & x, whether they are odd or even.

Statement I - p is even
Statement II- q is even

but nothing is mentioned about x,

if we taken x as even, the resulting number will be even, but if we take x as odd, the resulting number will be odd, hence neither statements are sufficient.

Thus, E.

Hope this helps.