Select the correct answer from given options.

2024

Select the correct answer from given options.

  1. A.

    A

  2. B.

    B

  3. C.

    C

  4. D.

    D

  5. E.

    E

Attempted by 1 students.

Show answer & explanation

Correct answer: E

Concept: Figure-series items like this test whether you can isolate, for each visual element in the sequence, an independent transformation rule -- a pattern in position, orientation, size, or presence -- that must hold across every consecutive pair of figures, then apply every one of those rules simultaneously to project the next figure in the series.

Application: Comparing every consecutive pair of figures across the five given steps isolates four independent rules governing the three changing elements (a right-angled corner triangle carrying a small dot, a rectangle, and a small circle):

  1. Triangle rule -- the corner triangle (with its dot) alternates between being mirrored along the top-left-to-bottom-right diagonal and mirrored along the top-right-to-bottom-left diagonal.

  2. Rectangle-orientation rule -- the rectangle alternates between being mirrored vertically and mirrored horizontally from one step to the next.

  3. Rectangle-width rule -- the rectangle's width increases by a uniform amount at every step, growing in the direction away from the edge of the figure it sits closest to.

  4. Circle rule -- the circle alternates between being present and being absent at each step.

Applying all four rules to the fifth figure to project the sixth (the missing figure asked for): the circle -- present in the fifth figure -- must flip to absent (Rule 4); the rectangle must widen by the same uniform amount again, growing away from its nearest edge (Rule 3); the rectangle's mirrored orientation must flip again (Rule 2); and the triangle-and-dot must continue the established mirror alternation (Rule 1), with no extra or duplicated shapes introduced.

Cross-check against the given choices:

  • The choice that still shows the circle beneath the rectangle breaks the presence/absence alternation (Rule 4).

  • The choice whose rectangle is visibly narrower than the required uniform increase breaks the width rule (Rule 3).

  • The choice showing an extra, duplicated rectangle segment introduces an element none of the four rules calls for.

  • The choice whose triangle-dot placement does not continue the established mirror alternation breaks Rule 1.

Only one option satisfies all four rules simultaneously -- circle absent, rectangle uniformly widened away from its nearest edge, rectangle orientation flipped again, and the triangle-and-dot mirror alternation correctly continued -- so that is the figure that completes the sequence.

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