JAMB 2017 · UTME (set 2) · Q1

Sets & Venn diagrams

Given $T = \{\text{even numbers from 1 to 12}\}$ and $N = \{\text{common factors of 6, 8 and 12}\}$ , find $T \cap N$ .

Worked solution (try it first)

$T = \{2, 4, 6, 8, 10, 12\}$ .
The factors of 6 are 1, 2, 3, 6.
Of 8 are 1, 2, 4, 8.
Of 12 are 1, 2, 3, 4, 6, 12.
Common to all three: $N = \{1, 2\}$ .
So $T \cap N = \{2\}$ , option D.

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