Mathematics

If x = {n2+1:n is a positive integer and 1 (leq) n (leq) 5}, Y…

If x = {n2+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.
  • A.
    {5,10}
  • B.
    {5, 10, 15}
  • C.
    {2, 5, 10}
  • D.
    {5, 10, 15, 20}
Correct Answer: Option A
Explanation

X = {n2+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}