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
(1) q is an even integer.
(2) p is an even integer.
OA E
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.
