WAEC Mathematics 2015 Question 49

Question 49

Logic

Consider the following statements:
X: Locally manufactured tyres are attractive.
Y: Many locally manufactured tyres do not last long.
Denoting locally manufactured tyres by M, attractive tyres by R and long lasting tyres by L, which of these Venn diagrams illustrates the statements?

Diagram for this question
  1. A.Diagram A
  2. B.Diagram B
  3. C.Diagram C
  4. D.Diagram D
Show the answer and explanation

Answer: A (Diagram A)

Explanation

M must lie wholly inside R (all are attractive) and only partly inside L (many do not last long). Only diagram A shows M inside R and overlapping L.