In each of the following questions, select a figure from amongst the four…

2024

In each of the following questions, select a figure from amongst the four alternatives, which when placed in the blank space of figure (X) would complete the pattern. Identify the figure that completes the pattern.

(X) (1) (2) (3) (4)

  1. A.

    1

  2. B.

    2

  3. C.

    3

  4. D.

    4

Attempted by 2 students.

Show answer & explanation

Correct answer: B

Concept: In a 2×2 diagonal-square series like this one, every cell is split by a single corner-to-corner diagonal into a black triangle and a white triangle. The two cells that sit diagonally opposite each other in the 2×2 grid always shade their black triangle the same way relative to the grid's centre — either both point it toward the centre (an "inner" corner) or both point it toward the grid's own outer edge (an "outer" corner).

  1. The top-right cell and the bottom-left cell form one diagonal pair. Both shade black toward their own outer corner: the top-right cell's black triangle touches the grid's overall top-right corner, and the bottom-left cell's black triangle touches the grid's overall bottom-left corner.

  2. The top-left cell and the missing bottom-right cell form the other diagonal pair. The top-left cell shades black toward its inner corner — the corner facing the centre of the grid, i.e. its own bottom-right corner — rather than its outer corner.

  3. By the same diagonal-pair rule, the missing bottom-right cell must also shade black toward its inner corner: the corner of that cell facing the grid's centre, which is its own top-left corner.

  4. So the missing figure has a diagonal running from its top-right corner to its bottom-left corner, with black filling its top-left corner and white filling its bottom-right corner.

Cross-check: Checking the four alternatives against this description, exactly one alternative shows a diagonal from the top-right corner to the bottom-left corner with black toward the top-left corner and white toward the bottom-right corner — matching the inner-corner shading that the top-left/bottom-right diagonal pair requires. The other three alternatives instead reproduce the exact figure already shown in one of the three visible grid cells (the top-left, top-right, or bottom-left cell), so they cannot also be the new, missing figure.

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