JAMB Mathematics 2008 Objective — Question 10

Question 10 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

If X = {n^2 + 1: n = 0, 2, 3} and Y = {n+1: n = 2,3,5}, find X intersect Y

A. {1, 3}
B. {5, 10}
C. {Empty set}Correct
D. {4, 6}

Explanation

When n=0, n^2+1=1. When n=2, n^2+1=5. When n=3, n^2+1=10. X={1,5,10}. Y: n=2->3, n=3->4, n=5->6. Y={3,4,6}. Since no element is common to both X and Y, X intersect Y = empty set.

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