In the given figure, the numbers associated with the rectangle, triangle, and…
2025
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?
Answer: A. P = 6; Q = 5; R = 3 — Each region in the figure carries the sum of the numbers of all shapes that cover it: the rectangle contributes 1, the triangle contributes 2, and the ellipse…
- A.
P = 6; Q = 5; R = 3
- B.
P = 5; Q = 6; R = 3
- C.
P = 3; Q = 6; R = 6
- D.
P = 5; Q = 3; R = 6
Show answer & explanation
Correct answer: A
Each region in the figure carries the sum of the numbers of all shapes that cover it: the rectangle contributes 1, the triangle contributes 2, and the ellipse contributes 3. Region P lies inside all three shapes, so P = $1 + 2 + 3 = 6$. Region Q lies inside the triangle and the ellipse only, so Q = $2 + 3 = 5$. Region R lies inside the rectangle and the triangle only, so R = $1 + 2 = 3$. The most appropriate combination is therefore P = 6; Q = 5; R = 3.