If x = {n^{2}+1:n is a positive integer and 1 (leq) n (leq) 5},
Y = {5n:n is a positive integer and 1 (leq) n (leq) 5}, find x (cap) y.
Y = {5n:n is a positive integer and 1 (leq) n (leq) 5}, find x (cap) y.
- A.
{5,10} - B.
{5, 10, 15} - C.
{2, 5, 10} - D.
{5, 10, 15, 20}
Correct Answer: Option A
Explanation
X = {n^{2}+1:n is a positive integer and 1 (leq) n (leq) 5}
Implies X = {2, 5, 10, 17, 26} i.e. put n= 1, 2, 3, 4 and 5
Y = {5n:n is a positive integer and 1 (leq) n (leq) 5}
Put X = 1, 2, 3, 4, and 5
Y = {5, 10, 15, 20, 25}
X (cap) Y = {2, 5, 10, 17, 26} (cap) {5, 10, 15, 20, 25}
= {5, 10}