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WAEC Further Mathematics 2022 Objective — Question 5

Question 5 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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

  • A. All strong wrestlers are weightlifters
  • B. Some strong wrestlers are not weightliftersCorrect
  • C. Some weak wrestlers are not weightlifters
  • D. All weak wrestlers are weightlifters

Explanation

Since some wrestlers (who are all strong) are not weightlifters, it is valid to conclude that some strong wrestlers are not weightlifters. This does not make an absolute claim about all wrestlers or all weightlifters, only acknowledging a possible overlap.

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