The correct answer is (D):x2018 y2017 = 1/2....(1)and x2016 y2019 = 8...(2)Dividing (1) by (2), x2/y2 = 1/16x/y = 1/4 i.e. x = ± 1/4 y(±1/4y)2018 y2017 = 1/2y4035 = 2 4035y = 2Therefore, x = ±1/4 y = ± 1/2Hence, x2 + y3 = 1/4 + 8 = 33/4