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In the figure an ellipse, a circle and a rectangle overlap. What is the sum of the numbers that lie inside the rectangle but outside the ellipse?

Competition practiceVenn Diagrams
  • A32
  • B13
  • C19
  • D21

Step-by-Step Solution

Inside the rectangle and not in the ellipse: 13 (rectangle only) and 6 (rectangle and circle only), so the sum is . 32 takes every number in the rectangle, 13 only the rectangle-only part, and 21 wrongly adds the 2 that is also inside the ellipse.
Answer: C) 19

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