Select a figure from amongst the Answer Figures which will continue the same…

2024

Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

Problem Figures:

(A) (B) (C) (D) (E) (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, E

In a figure-series question like this, several independent transformation rules can act on different visual components of the same figure at the same time. To solve it, separate the figure into its components (here: the number of corner-bracket elements, the orientation of those elements, and the pair of symbols placed below them), track the rule governing each component across the given figures, and then apply every rule together to find the next figure.

  1. Count of corner-bracket elements across the five problem figures: 1, 1, 2, 2, 3 -- the count increases by one after every second figure, so the count stays at three for both the fifth figure and the next (sixth) figure in the series.

  2. Orientation of the corner-bracket elements: each figure's bracket is rotated 90 degrees clockwise from the bracket in the figure before it, cycling through the four possible corner positions. So the sixth figure's bracket must be rotated one further 90-degree clockwise turn from the fifth figure's bracket.

  3. The pair of symbols below the brackets: going from one figure to the next, the symbol that was on the left moves to the right, and the new left position is filled by a symbol that has never appeared anywhere earlier in the series.

  4. Applying all three rules together to the sixth figure: it must show three corner-bracket elements, rotated one further clockwise turn from the fifth figure's bracket, with its right-hand symbol equal to the fifth figure's left-hand symbol, and its left-hand symbol being a shape that has not appeared anywhere in the first five figures.

  • The answer figure whose bracket orientation matches the fourth problem figure (rather than one further turn past the fifth) has new lower symbols, but fails the rotation rule.

  • The answer figure whose bracket orientation matches the third problem figure (rather than one further turn past the fifth) also has new lower symbols, but likewise fails the rotation rule.

  • The answer figure with the correct bracket orientation but a circle as its lower-left symbol fails the new-symbol rule, since that circle already appeared as a lower-right symbol earlier in the series.

  • The answer figure with the correct bracket orientation but a triangle as its lower-left symbol also fails the new-symbol rule, since that triangle already appeared as a lower-left symbol earlier in the series.

  • Only the answer figure with three brackets rotated one further clockwise turn past the fifth figure, a star carried over on the right (matching the fifth figure's own left-hand symbol), and a genuinely new shape on the left satisfies all three rules together -- that is the correct continuation of the series.

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