If x , y , and z are consecutive integers, and x < y < z , is x even?
(1) x + y is odd.
(2) x + z is even.
(1) Insufficient - x, and y are given as consecutive integers, so one number in x and y has to be even and one has to be odd, like x=1 and y =2 or x=2 and y=3....but the sum will always be odd. so this statement doesnt gives any information at all.
2) Insufficient. - It's given that x y and z are consecutive integers in order x ,y, z....so sum of x and z will always be even. you can see for example if x=1 and z=3 sum =4 (even) , similarly if x=2 and z=4, sum = 6 even . so this too doesnt adds any info. even +even = always even and odd + odd = always even.
together too they are insufficient because neither of the statements add any info to what is already given in question. Answer E.