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Numbers are placed in the sets P, Q and R as shown. What is the sum of the numbers that belong to P or Q but not to R?

Competition practiceVenn Diagrams
  • A28
  • B15
  • C16
  • D11

Step-by-Step Solution

P or Q, outside R: 2 and 9 (P only), 4 (Q only) and 1 (P and Q only). Sum . 28 also adds the 12 in the centre, which is in R, 15 forgets the 1, and 11 adds only P's own part.
Answer: C) 16

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