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The figure shows a circle, a rectangle and a triangle. What is the sum of the numbers that lie inside the rectangle or the triangle but NOT inside the circle?

Competition practiceVenn Diagrams
  • A31
  • B36
  • C52
  • D19

Step-by-Step Solution

Outside the circle but inside the rectangle or the triangle: 15 (rectangle only), 4 (triangle only) and 12 (rectangle and triangle). Sum . 36 adds the 5 that is outside every figure, 52 also takes the numbers inside the circle, and 19 leaves out the 12.
Answer: A) 31

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