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WAEC Further Mathematics 2022 Question 5

Question 5

Sets and Logic

Consider the following statements:
x: All wrestlers are strong
y: Some wrestlers are not weightlifters
Which of the following is a valid conclusion?

  1. A.All strong wrestlers are weightlifters
  2. B.Some strong wrestlers are not weightlifters
  3. C.Some weak wrestlers are weightlifters
  4. D.All weightlifters are wrestlers
Show the answer and explanation

Answer: B (Some strong wrestlers are not weightlifters)

Explanation

The wrestlers who are not weightlifters are still wrestlers, so they are strong. Hence some strong wrestlers are not weightlifters.