Select a suitable figure from the Answer Figures that would replace the…

2023

Select a suitable figure from the Answer Figures that would replace the question mark (?).

Problem Figures: (A) (B) (C) (D) Answer Figures: (1) (2) (3) (4) (5)

  1. A.

    1

  2. B.

    2

  3. C.

    3

  4. D.

    4

  5. E.

    5

Attempted by 1 students.

Show answer & explanation

Correct answer: D

Concept: In this figure-series item, two independent design elements — an arc (a segmented semicircle) and a half-arrow — each follow their own fixed transformation rule from one figure to the next: (1) every element moves to the next side of the frame in the same rotational direction each step, and (2) every element also changes its own internal orientation each step — the arc alternates which of its two edges (the flat edge or the curved edge) touches the frame's border, and its shorter internal segment mirrors to the opposite side every step, while the half-arrow keeps turning in the same rotational sense throughout. The right continuation must satisfy every one of these rules at once.

  1. Track the arc's position: it sits on the left edge in the first figure, the top edge in the second figure, and the right edge in the third figure — one side further in the same direction each time — so in the fourth figure it must sit on the bottom edge.

  2. Track the arc's own edge arrangement: its flat edge touches the frame's border in the first figure, its curved edge touches the border in the second figure, and its flat edge touches the border again in the third figure — the two arrangements keep alternating — so the fourth figure must show the curved edge against the border (the flat edge facing the centre), which on the bottom edge gives a smile-shaped profile rather than a frown-shaped one.

  3. Track the arc's shorter divided segment: the mirror-flip rule that has applied at every step must swap it to the side opposite to where it sits in the third figure.

  4. Track the half-arrow's position: it sits on the top edge in the first figure, the right edge in the second figure, and the bottom edge in the third figure — again one side further in the same direction each time — so it must sit on the left edge (drawn near the top-left of the frame) in the fourth figure, continuing the same turning direction kept throughout — never reversing to point the opposite way.

Cross-check: the figure with the smile-shaped arc on the bottom edge, its shorter segment mirrored to the side opposite the third figure's, together with the half-arrow continuing its established turn, satisfies the position rule, the edge-alternation rule, the mirror rule, and the arrow's turning rule all at the same time — no other figure among the choices satisfies all four simultaneously.

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