Identify the figure that completes the pattern.

2024

Identify the figure that completes the pattern.

  1. A.

    1

  2. B.

    2

  3. C.

    3

  4. D.

    4

Attempted by 2 students.

Show answer & explanation

Correct answer: C

Concept: In a rotational figure-completion puzzle, the full figure is built from ONE motif repeated at fixed 90-degree rotational steps around a shared centre point. Every quadrant must therefore keep two things consistent with its neighbours: the straight-line elements (here, the diagonal that runs from the quadrant's own outer corner to the centre) and the curved elements (here, the arc-lobe of the flower, which always sits at the corner touching the centre, never at the free outer corner).

Application:

  1. The whole square is crossed by both its diagonals and split into four quadrants by the two medians, with a four-lobed floral motif overlapping at the centre.

  2. In the top-left quadrant, the diagonal runs from its own top-left (outer) corner to its bottom-right corner (the centre), and the arc-lobe sits at that same bottom-right, centre-touching corner.

  3. In the top-right quadrant, the diagonal runs from its top-right (outer) corner to its bottom-left corner (the centre), and its arc-lobe again sits at the centre-touching corner, not the outer one.

  4. In the bottom-left quadrant, the diagonal runs from its bottom-left (outer) corner to its top-right corner (the centre), with the arc-lobe once more converging at the centre-touching corner.

  5. Applying the same rule to the missing bottom-right quadrant: its diagonal must run from its top-left corner (the centre) to its bottom-right corner (the outer corner of the whole square, continuing the same diagonal as the top-left quadrant), and its arc-lobe must converge at that top-left, centre-touching corner.

Cross-check:

  • The candidate whose diagonal runs from the bottom-left corner to the top-right corner breaks the pattern outright -- every other quadrant's diagonal runs the other way, continuing the square's own two main diagonals.

  • The candidate whose arc-lobe sits at the outer (bottom-right) corner instead of the centre-touching corner also breaks the rule seen in all three given quadrants.

  • A third candidate keeps the correct diagonal but stretches its arc-lobe across the edge instead of tucking it tightly into the centre-touching corner the way the other three quadrants do.

  • Only the remaining candidate keeps both the diagonal direction and the tight, centre-converging arc-lobe consistent with the rest of the figure. This matches the candidate figure printed "3", which is the correct answer.

Explore the full course: Deloitte Nla

Loading lesson…