From amongst the figures marked (1), (2), (3) and (4), select the figure which…

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From amongst the figures marked (1), (2), (3) and (4), select the figure which satisfies the same conditions of placement of the dots as in figure (X). Select the figure which satisfies the same conditions of placement of the dots as in Figure-X.

  1. A.

    1

  2. B.

    2

  3. C.

    3

  4. D.

    4

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Correct answer: D

Answer: the figure that contains both a dot placed in the area shared only by the square and the triangle, and a dot placed in the central area where the circle, the square and the triangle all overlap.

Key requirements to match Figure X:

  • One dot must be located in the region where only the square and the triangle overlap (that overlap must not lie inside the circle).

  • The other dot must be located in the region common to all three shapes: the circle, the square and the triangle.

Why the other figures do not match:

  • Some alternatives do not have any region where the square and the triangle overlap without the circle; therefore they cannot host the dot that belongs to the square–triangle-only area.

  • At least one alternative lacks a three-way overlap of circle, square and triangle; therefore it cannot host the dot that must lie in the common area of all three shapes.

Conclusion: only the figure that contains both the square–triangle-only overlap and the three-way overlap satisfies the placement of the two dots shown in Figure X.

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