Which answer figure will continue the same series as established by the…

2025

Which answer figure will continue the same series as established by the problem figures?

Problem figures are:

Answer figures are:

  1. A.

    1

  2. B.

    2

  3. C.

    3

  4. D.

    4

Show answer & explanation

Correct answer: A

Concept: In a figure series built from a fixed set of symbols placed in a cyclic slot order, the figures are generated by alternating exactly two operations: (1) an internal swap within each of two symbol-pairs, and (2) a swap of the two pairs' overall block positions. Once the cycle length is found, the next figure is whatever the alternating rule produces after the last given term.

Application: Label each figure's four symbols from the top-right corner to the bottom-left corner as slot 1-2-3-4.

  1. Figure A = (circle, triangle, '=', 'x'); Figure B = (triangle, circle, 'x', '='); Figure C = ('x', '=', triangle, circle); Figure D = ('=', 'x', circle, triangle); Figure E = (circle, triangle, '=', 'x').

  2. A to B: the pair (circle, triangle) swaps internally to (triangle, circle), and the pair ('=', 'x') swaps internally to ('x', '=') - an internal-pair-swap step.

  3. B to C: the two pairs (triangle, circle) and ('x', '=') swap their block positions with each other, with no internal change - a block-swap step.

  4. C to D: an internal-pair-swap step again, turning ('x','=') into ('=','x') and (triangle, circle) into (circle, triangle).

  5. D to E: a block-swap step again, confirming Figure E repeats Figure A exactly - so the pattern cycles every four figures with the two operations strictly alternating (internal swap, block swap, internal swap, block swap, ...).

  6. Since D to E was a block-swap, the next step (E to the required figure) must be the alternating internal-pair-swap. Applying it to E = (circle, triangle, '=', 'x') swaps (circle, triangle) to (triangle, circle) and ('=', 'x') to ('x', '='), giving (triangle, circle, 'x', '=').

Cross-check: Figures with the arrangement (circle, triangle, '=', 'x') or ('x', '=', triangle, circle) merely repeat Figure A/E or Figure C and would break the strict internal-swap/block-swap alternation if reused next; only (triangle, circle, 'x', '=') is consistent with continuing that alternation after Figure E.

Answer: The answer figure with the triangle at the top-right corner, the circle beneath it, 'x' below that, and '=' at the bottom-left corner continues the series.

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