1) If X={4n−3n−1:nϵN} and Y={9(n−1):nϵN} when N is the set of natural numbers, then X∪Y is equal to A) N B) Y-X C) X D) Y Answer: Option AExplanation:We have, X={4n−3n−1:nϵN} X= { 0,9,54,243.....} [put n= 1,2,3 ......] Y={9(n−1):nϵN} Y= {0,9,18,27....} [Put n= 1,2,3....] It is clear that X⊂Y ∴ X∪Y=Y