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NECO 2023 · Paper 1 · Q13

The Venn diagram shows the number of students who wrote Biology, Physics and Mathematics in a school. Find the number of students who wrote at least two subjects and the total number of students in the school, respectively.

65374164BiologyPhysicsMathematics
Worked solution (try it first)
  1. "At least two subjects" means the three two-subject regions and the centre: 5+7+1+4=175 + 7 + 1 + 4 = 17.
  2. The total is every number in the diagram, including the 4 outside the circles: 6+5+3+7+4+1+6+4=366 + 5 + 3 + 7 + 4 + 1 + 6 + 4 = 36.
  3. So the answer is 17, 36, option D.

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