Discussion
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
The combination is P = 6; Q = 5; R = 3.
The labelled region 4 shows the rule: it lies inside the rectangle (1) and the ellipse (3) but outside the triangle, and 1 + 3 = 4. So each region carries the sum of the numbers of the shapes that contain it.
P lies inside all three shapes, so P = 1 + 2 + 3 = 6. Q lies inside the triangle and the ellipse but outside the rectangle, so Q = 2 + 3 = 5. R lies inside the rectangle and the triangle but outside the ellipse, so R = 1 + 2 = 3.
The other options swap P and Q, or assign 6 to regions that lie in only two shapes, which breaks the rule fixed by region 4.
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