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

Competition practiceVenn Diagrams
  • A31
  • B10
  • C25
  • D14

Step-by-Step Solution

Inside the triangle and outside the circle: 8 (triangle only) and 2 (triangle and rectangle). Sum . 31 adds every number in the triangle, 25 adds the 15 that is inside the circle too, and 14 takes the triangle numbers outside the rectangle instead.
Answer: B) 10

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