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Select a figure from the given options which will continue the same series as established by the four problem figures.

  1. A
    Figure A
  2. B
    Figure B
  3. C
    Figure C
  4. D
    Figure D

Solution & Step-by-step Explanation

Let's track the movement of both elements (the white circle and the white hexagon) inside the blue square from one frame to the next:
1. Movement of the Circle:
* Frame 1 to Frame 2: Moves from the bottom-right corner to the top-left corner (shifts counter-clockwise along the corners by 2 places).
* Frame 2 to Frame 3: Moves from the top-left corner to the top-right corner (shifts counter-clockwise along the corners by 1 place).
* Frame 3 to Frame 4: Moves from the top-right corner to the bottom-right corner (shifts counter-clockwise along the corners by 1 place).
* Following this alternating pattern (+2, +1, +1 corners counter-clockwise isn't perfectly uniform, so let's re-verify the collective relative positions):
Alternatively, notice that the entire inner layout rotates * counter-clockwise** at each step:
* In Frame 1: Hexagon is at bottom-left, Circle is at bottom-right.
* Rotating this entire square counter-clockwise puts Hexagon at bottom-right and Circle at top-right. But Frame 2 shows Hexagon at bottom-left, Circle at top-left. Let's look at independent tracks or a strict corner rotation:
* Let's look at the options relative to Frame 4:
* Frame 1: Hexagon (Bottom-Left), Circle (Bottom-Right)
* Frame 2: Hexagon (Bottom-Left), Circle (Top-Left)
* Frame 3: Hexagon (Top-Left), Circle (Top-Right)
* Frame 4: Hexagon (Top-Right), Circle (Bottom-Right)
* Notice the Hexagon positions: Bottom-Left Bottom-Left Top-Left Top-Right. It moves step clockwise.
* Let's observe the complete shape rotation: If we rotate Frame 1 by clockwise, the bottom-left hexagon goes to top-left, and bottom-right circle goes to bottom-left. This doesn't match Frame 2.
* Let's look at the absolute step-by-step transformation:
* Hexagon: Frame 1 (Bottom-Left) Frame 2 (Bottom-Left) Frame 3 (Top-Left) Frame 4 (Top-Right). It stays in place once, then moves clockwise, then moves clockwise. Therefore, in the next step, it should either stay in place at (Top-Right) or move clockwise to (Bottom-Right).
* Circle: Frame 1 (Bottom-Right) Frame 2 (Top-Left) Frame 3 (Top-Right) Frame 4 (Bottom-Right).
* From Frame 1 to 2, it moves diagonally opposite.
* From Frame 2 to 3, it moves clockwise.
* From Frame 3 to 4, it moves clockwise.
* Therefore, from Frame 4 to 5, it should move either diagonally opposite (to Top-Left) or continue clockwise to (Bottom-Left).

* Let's test the uniform step logic:
* Frame 1 to Frame 2: Hexagon stays, Circle moves 2 corners clockwise/diagonally.
* Frame 2 to Frame 3: Both elements shift clockwise.
* Frame 3 to Frame 4: Both elements shift clockwise.
* If the shift sequence follows: [Change pattern from 1 2, then stable rotation for 2 3 and 3 4], the next logical transformation from 4 5 should continue the clockwise rotation for both items:
* Hexagon at Top-Right moves clockwise to Bottom-Right.
* Circle at Bottom-Right moves clockwise to Bottom-Left.

* This matches Figure B, where the hexagon is at the bottom-left and the circle is at the bottom-right? Wait, let's look at Figure B: Hexagon is at bottom-left, Circle is at bottom-right. That is identical to Frame 1! This means the series completes a full cycle and repeats Frame 1.
* Let's check if Frame 1 to 4 represents a periodic sequence:
* Frame 1: Hexagon (BL), Circle (BR)
* Frame 4: Hexagon (TR), Circle (BR)
* If the entire figure rotates counter-clockwise:
* Frame 1 rotated CCW Hexagon (BR), Circle (TR). This is the exact mirror/inverse of Frame 2.

* Let's look at the choices:
* A has Circle (TL), Hexagon (BL) — identical to Frame 2.
* B has Hexagon (BL), Circle (BR) — identical to Frame 1.
* C has Hexagon (TR), Circle (BR) — identical to Frame 4.
* D has Hexagon (TL), Circle (TR) — identical to Frame 3.

* Since the options are exactly the four frames, this is a clear 4-step cyclic series. Frame 1, Frame 2, Frame 3, Frame 4... the 5th frame must be identical to Frame 1.
* Frame 1 has the hexagon at the bottom-left and the circle at the bottom-right, which is exactly Figure B.

Practice this question

Try it yourself before checking the explanation above.

image
Select a figure from the given options which will continue the same series as established by the four problem figures.
A
Figure A
B
Figure B
C
Figure C
D
Figure D

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