MATHEMATICS

JAMB 2009 - Question 8

Mathematics 2009 JAMB Past Questions - Question 8: If x = {n2 +1:n is a positive integer and 1 ≤ n ≤ 5},Y = {5n:n is a positive integer and 1 ≤ n ≤ 5}, find x ∩ y.

If x = {n2 +1:n is a positive integer and 1 ≤ n ≤ 5},Y = {5n:n is a positive integer and 1 ≤ n ≤ 5}, find x ∩ y.
A:
B:
C:
D:
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Correct Answer

B

Explanation

X = {n(^2\)+1:n is a positive integer and 1 ≤ n ≤ 5}Implies X = {2, 5, 10, 17, 26} i.e. put n= 1, 2, 3, 4 and 5Y = {5n:n is a positive integer and 1 ≤ n ≤ 5}Put X = 1, 2, 3, 4, and 5Y = {5, 10, 15, 20, 25}X ∩ Y = {2, 5, 10, 17, 26} ∩ {5, 10, 15, 20, 25}= {5, 10}