JAMB Mathematics 2017 Paper

Concept:The intersection of two sets contains only the elements that are present in both sets.Explanation:First, list the even numbers from 1 to 12:$T = \{2, 4, 6, 8, 10, 12\}$Next, find the common factors of 6, 8 and 12.Factors of 6: $1, 2, 3, 6$Factors of 8: $1, 2, 4, 8$Factors of 12: $1, 2, 3, 4, 6, 12$The numbers common to all three lists are $1$ and $2$.Therefore, $N = \{1, 2\}$.Now find the intersection:$T \cap N = \{2, 4, 6, 8, 10, 12\} \cap \{1, 2\}$The only element in both sets is $2$.Answer:$T \cap N = \{2\}$, so the correct option is D.