In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of P, Q, and R?
P = 6; Q = 5; R = 3
P = 5; Q = 6; R = 3
P = 3; Q = 6; R = 6
P = 5; Q = 3; R = 6
We are told:
Rectangle = 1
Triangle = 2
Ellipse = 3
We need to determine the value of P, Q, and R.
Step-by-step analysis:
From the diagram:
Region labelled 1 is only in the rectangle → ✅ Rectangle only
Region labelled 2 is only in the triangle → ✅ Triangle only
Region labelled 3 is only in the ellipse → ✅ Ellipse only
Region labelled 4 is in a rectangle and an ellipse (intersection of 1 and 3)
We can say:
| Shape Combo | Label |
|---|---|
| Only Rectangle | 1 |
| Only Triangle | 2 |
| Only Ellipse | 3 |
| Rectangle + Triangle (1 + 2) | 3 |
| Rectangle + Ellipse (1 + 3) | 4 |
| Triangle + Ellipse | 5 |
| Rectangle + Triangle + Ellipse | 6 |
Region P: lies inside rectangle + triangle + ellipse = 6
Region Q: lies inside the triangle + ellipse = 5
Region R: lies inside rectangle + triangle = 3
✅ Final Answer: (A) P = 6; Q = 5; R = 3