WAEC Mathematics 2025 Question 46

Question 46

Logic

The Venn diagram illustrates the information about the sets, P = {Pharmacists}, C = {Smart People} and F = {My Friends}. Which of the following is a valid conclusion from the diagram?

Diagram for this question
  1. A.All pharmacists are my friends.
  2. B.Some of my friends are smart.
  3. C.All smart people are my friends.
  4. D.None of my friends is smart.
Show the answer and explanation

Answer: B (Some of my friends are smart.)

Explanation

F overlaps C, so some of my friends are smart. P is not wholly inside F and C is not inside F, so A and C are not valid.